Metrics for Henrywood and Agarwal, Equation (3)

analyze358.0ms (3.4%)

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
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	8
28.6%	28.1%	70.2%	0.2%	0%	1.6%	0%	9
28.6%	28.1%	70.2%	0.2%	0%	1.6%	0%	10
28.8%	28.1%	69.4%	0.2%	0%	2.3%	0%	11
36.1%	32.7%	58.1%	0.2%	0%	9%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 64.0ms (61.3% of total)

ival-sqrt: 23.0ms (22% of total)

ival-div: 14.0ms (13.4% of total)

const: 2.0ms (1.9% of total)

backward-pass: 1.0ms (1% of total)

sample1.8s (17.1%)

Results

734.0ms	8256×	0	valid
567.0ms	6833×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

ival-mult: 301.0ms (52.1% of total)

ival-div: 132.0ms (22.9% of total)

ival-sqrt: 125.0ms (21.7% of total)

const: 14.0ms (2.4% of total)

backward-pass: 5.0ms (0.9% of total)

Bogosity

preprocess65.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2170×	`fnmadd-define`
2100×	`fma-define`
1458×	`sum3-define`
1038×	`fnmsub-define`
960×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	120	130
2	195	130
3	406	130
4	936	130
5	2683	130
6	4850	130
7	7745	130
0	8	8
1	12	8
2	14	8
0	14	8

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(* c0 (sqrt (/ A (* V l))))
(* (neg c0) (sqrt (/ A (* V l))))
(* (sqrt (/ A (* V l))) (neg c0))
(* c0 (sqrt (/ (neg A) (* V l))))
(* c0 (sqrt (/ A (* V (neg l)))))
(* c0 (sqrt (/ A (* (neg V) l))))
(* c0 (sqrt (/ A (* V (neg l)))))
(* c0 (sqrt (/ A (* V (neg l)))))
(neg (* (neg c0) (sqrt (/ A (* V l)))))
(* c0 (sqrt (/ A (* V l))))
(neg (* c0 (sqrt (/ (neg A) (* V l)))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(neg (* c0 (sqrt (/ A (* (neg V) l)))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(neg (* c0 (sqrt (/ A (* V (neg l))))))
(* (neg c0) (sqrt (/ A (* V (neg l)))))
(* A (sqrt (/ c0 (* V l))))
(* V (sqrt (/ A (* c0 l))))
(* l (sqrt (/ A (* V c0))))
(* l (sqrt (/ A (* c0 V))))
(* c0 (sqrt (/ V (* A l))))
(* c0 (sqrt (/ l (* V A))))
(* c0 (sqrt (/ (/ l A) V)))
(* c0 (sqrt (/ A (* l V))))
(* c0 (sqrt (/ A (* V l))))

Symmetry

(negabs c0)

(sort V l)

explain92.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	1	(1.2583958112054108e-92 -2.827132457669839e-205 -3.8290032932026604e+149 1.0200685830956493e+291)	3	(0.0038446163612516834 2.8561368533762904e-203 -2.5037152435153124e+89 -4.875725198178171e+30)	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
23	0	-	1	(1.1578270227938216e+266 9.633726186429312e-178 3.2524270687210518e-307 8.821096914562495e-10)	`(/.f64 A (*.f64 V l))`
3	0	-	0	-	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
0	0	-	0	-	`c0`
0	0	-	0	-	`l`
0	0	-	0	-	`A`
0	0	-	0	-	`(*.f64 V l)`
0	0	-	0	-	`V`

Results

66.0ms

512×

valid

Compiler

Compiled 74 to 26 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (36.9% of total)

ival-mult: 8.0ms (36.9% of total)

ival-sqrt: 4.0ms (18.4% of total)

const: 1.0ms (4.6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 V l)
✓	cost-diff	(/.f64 A (*.f64 V l))
✓	cost-diff	(sqrt.f64 (/.f64 A (*.f64 V l)))
✓	cost-diff	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	12	26
2	14	26
0	14	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 V l)
✓	accuracy	98.6%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	accuracy	91.7%	(/.f64 A (*.f64 V l))
✓	accuracy	67.4%	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

29.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.3% of total)

ival-sqrt: 3.0ms (31.7% of total)

ival-div: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (* c0 (sqrt (/ A (* V l))))>
#<alt (sqrt (/ A (* V l)))>
#<alt (/ A (* V l))>
#<alt (* V l)>

Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>
#<alt (* V l)>

Calls

36 calls:

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

rewrite222.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2652×	`-lowering-.f32`
2652×	`-lowering-.f64`
2488×	`/-lowering-/.f32`
2488×	`/-lowering-/.f64`
1004×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	25	22
2	119	22
3	651	22
4	3236	22
0	8386	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 418

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V l) #s(literal -1/2 binary64))) (*.f64 c0 (sqrt.f64 A))))
(neg.f64 (.f64 (sqrt.f64 A) (neg.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 A) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (.f64 V l)))))
(neg.f64 (*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 A))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(neg.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (.f64 V l))) (sqrt.f64 A)))
(neg.f64 (/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))))
(neg.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(neg.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (*.f64 c0 (pow.f64 V #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 A #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))) (*.f64 c0 (sqrt.f64 #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 V l) #s(literal -1/2 binary64))) (.f64 (*.f64 c0 (sqrt.f64 A)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) (.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (.f64 (.f64 c0 (pow.f64 V #s(literal -1/2 binary64))) (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) (*.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 l) c0))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 V l)) (/.f64 (.f64 c0 (sqrt.f64 A)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)) (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) V)) (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 V l)) (/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 #s(literal -1 binary64) V))) (/.f64 (/.f64 (.f64 V l) (/.f64 l A)) (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) V))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 A (.f64 V l)))) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 V l)) #s(literal 0 binary64) (/.f64 A (.f64 V l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))
(/.f64 A (*.f64 V l))
(/.f64 (.f64 V l) (/.f64 (.f64 V l) (/.f64 A (*.f64 V l))))
(/.f64 (/.f64 A (*.f64 V l)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) (/.f64 (.f64 V l) (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l)))))
(/.f64 #s(literal 1 binary64) (/.f64 V (/.f64 A l)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 V l) (.f64 V l)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 V l) A))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 V l) (.f64 V l))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 V l) A))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 V l) l) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 V l) (/.f64 V A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 V l) l)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 V l) (/.f64 V A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 V l) V) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 V l) (/.f64 l A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 V l) (/.f64 #s(literal -1 binary64) V)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 V l) (/.f64 A (.f64 V l))) (*.f64 V l)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (/.f64 #s(literal 1 binary64) A))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 A)))
(/.f64 (/.f64 A V) l)
(/.f64 (/.f64 A V) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 l))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V) (-.f64 #s(literal 0 binary64) l))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)) (/.f64 #s(literal -1 binary64) A))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) A))))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 V A))
(/.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 A V))))
(/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))) #s(literal -1 binary64))
(/.f64 (/.f64 A l) V)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) V))
(/.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 V A)))
(/.f64 (/.f64 #s(literal -1 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A)) (neg.f64 (.f64 (.f64 V l) (*.f64 V l))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A)) (.f64 (.f64 V l) (*.f64 V l)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A))) (neg.f64 (.f64 (*.f64 V l) l)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A))) (.f64 (*.f64 V l) l))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (/.f64 (.f64 V l) (/.f64 #s(literal -1 binary64) V)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (*.f64 V l) V))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (*.f64 V l))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) l))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 l A))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) V))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) A))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) A))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) V))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A))) (neg.f64 (.f64 (.f64 V l) (*.f64 V l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A)))) (.f64 (*.f64 V l) l))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A)))) (neg.f64 (.f64 (*.f64 V l) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A)))) (.f64 (*.f64 V l) V))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A)))) (/.f64 (.f64 V l) (/.f64 #s(literal -1 binary64) V)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A))) (.f64 (.f64 V l) (*.f64 V l)))
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1 binary64))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 V (/.f64 A l))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 V (/.f64 A l))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 A (*.f64 V l))))
(.f64 A (/.f64 #s(literal 1 binary64) (.f64 V l)))
(.f64 (.f64 V l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 V l) (/.f64 A (.f64 V l)))))
(.f64 (/.f64 A (.f64 V l)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal -1 binary64) (.f64 V l)))
(.f64 #s(literal 1 binary64) (/.f64 A (.f64 V l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 V l)) A)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 V l)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) A))))
(*.f64 (/.f64 A V) (/.f64 #s(literal 1 binary64) l))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A (.f64 V l))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V) (/.f64 #s(literal -1 binary64) l))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) V) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) l))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 V l)) (-.f64 #s(literal 0 binary64) A))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 V l)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) A))))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 A V))
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 A l))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 A (.f64 V l))) #s(literal -1 binary64))
(*.f64 (/.f64 A l) (/.f64 #s(literal 1 binary64) V))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 #s(literal -1 binary64) V))
(*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (-.f64 #s(literal 0 binary64) A) V))
(*.f64 (/.f64 #s(literal -1 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 A l)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 V l) (.f64 V l)))))
(.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 V l) A)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 V l) (.f64 V l))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 V l) l))))
(.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 V A))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 V l) l)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 V l) (/.f64 #s(literal -1 binary64) V))))
(.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 V l) V)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) l))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 l A))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 V)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) A))) (/.f64 #s(literal 1 binary64) (.f64 V l)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) A))) (/.f64 #s(literal -1 binary64) (.f64 V l)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) l))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 V)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 l A))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) V))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) l))) (/.f64 (-.f64 #s(literal 0 binary64) A) V))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) V))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(+.f64 (*.f64 V l) #s(literal 0 binary64))
(+.f64 (.f64 V l) (fma.f64 l V (-.f64 #s(literal 0 binary64) (.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 V l (-.f64 #s(literal 0 binary64) (.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 #s(literal 1 binary64) (.f64 V l) (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 V l)) (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 (.f64 V l) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) (.f64 V l))))
(+.f64 (.f64 V l) (fma.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) (.f64 V l))))
(+.f64 #s(literal 0 binary64) (*.f64 V l))
(exp.f64 (log.f64 (*.f64 V l)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l))) (*.f64 V l))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(/.f64 V (/.f64 #s(literal 1 binary64) l))
(/.f64 l (/.f64 #s(literal 1 binary64) V))
(/.f64 (*.f64 V l) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(/.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal -1 binary64) V))
(/.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal -1 binary64) l))
(pow.f64 (*.f64 V l) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) #s(literal -1 binary64))
(*.f64 V l)
(*.f64 l V)
(.f64 (.f64 V l) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 V l))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 V l)))
(*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V))
(*.f64 (-.f64 #s(literal 0 binary64) l) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) V))))
(*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) V))) (-.f64 #s(literal 0 binary64) l))

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

446×	`fma-define`
412×	`fnmadd-define`
364×	`fma-lowering-fma.f32`
364×	`fma-lowering-fma.f64`
276×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	932
1	33	868
2	84	868
3	182	868
4	449	868
5	694	868
6	1244	868
7	1501	868
8	1569	868
9	1577	868
0	1577	868

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

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

Outputs
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A (*.f64 V l))))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(/ A (* V l))
(/.f64 A (*.f64 V l))
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)
(* V l)
(*.f64 V l)

eval67.0ms (0.6%)

Compiler: Compiled 7385 to 1274 computations (82.7% saved)

prune85.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	540	22	562
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	540	23	563

Accuracy

99.6%

Counts

563 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
	21.7%	(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0))
	61.5%	(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
	39.1%	(/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))
	45.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	47.2%	(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
▶	74.1%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
▶	74.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
▶	60.6%	(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
▶	60.5%	(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
	38.7%	(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
	61.5%	(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
	45.2%	(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))
	74.1%	(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
	62.6%	(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
	47.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
▶	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	74.6%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
	41.6%	(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
	74.1%	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
✓	74.1%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	74.1%	(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
	71.0%	(.f64 c0 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))))

Compiler

Compiled 672 to 476 computations (29.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)
✓	cost-diff	0	(/.f64 V A)
✓	cost-diff	0	(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 l))
✓	cost-diff	0	(/.f64 V A)
✓	cost-diff	0	(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
✓	cost-diff	0	(/.f64 V (/.f64 A l))
✓	cost-diff	0	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
✓	cost-diff	0	(/.f64 A l)
✓	cost-diff	0	(/.f64 V (/.f64 A l))
✓	cost-diff	0	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	cost-diff	0	(/.f64 A V)
✓	cost-diff	0	(/.f64 (/.f64 A V) l)
✓	cost-diff	0	(sqrt.f64 (/.f64 (/.f64 A V) l))
✓	cost-diff	0	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
40×	`associate-r`
40×	`associate-l`
38×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	148
1	40	148
2	58	148
3	65	148
4	107	148
5	119	148
6	131	148
0	131	148

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* c0 (sqrt (/ (/ A V) l)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
c0
(sqrt (/ (/ A V) l))
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/ (/ A V) l)
(/.f64 A (*.f64 V l))
(/ A V)
(/.f64 A V)
A
V
l
(/ c0 (sqrt (/ V (/ A l))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
c0
(sqrt (/ V (/ A l)))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(/ V (/ A l))
(/.f64 V (/.f64 A l))
V
(/ A l)
(/.f64 A l)
A
l
(/ 1 (/ (sqrt (/ V (/ A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
1
#s(literal 1 binary64)
(/ (sqrt (/ V (/ A l))) c0)
(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
(sqrt (/ V (/ A l)))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(/ V (/ A l))
(/.f64 V (/.f64 A l))
V
(/ A l)
(/.f64 A l)
A
l
c0
(* (pow (/ V A) -1/2) (/ c0 (sqrt l)))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(pow (/ V A) -1/2)
(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
(/ V A)
(/.f64 V A)
V
A
-1/2
#s(literal -1/2 binary64)
(/ c0 (sqrt l))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt l)
(sqrt.f64 l)
l
(* (pow (/ V A) -1/2) (* (pow l -1/2) c0))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 l #s(literal -1/2 binary64))))
(pow (/ V A) -1/2)
(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
(/ V A)
(/.f64 V A)
V
A
-1/2
#s(literal -1/2 binary64)
(* (pow l -1/2) c0)
(*.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))
(pow l -1/2)
(pow.f64 l #s(literal -1/2 binary64))
l
c0

localize201.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 V A)
✓	accuracy	99.8%	(*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)
✓	accuracy	96.7%	(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
✓	accuracy	84.1%	(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 l)
✓	accuracy	99.8%	(/.f64 c0 (sqrt.f64 l))
✓	accuracy	96.7%	(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
✓	accuracy	84.1%	(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
✓	accuracy	92.9%	(/.f64 V (/.f64 A l))
✓	accuracy	77.6%	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	accuracy	100.0%	(/.f64 A l)
✓	accuracy	99.1%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	accuracy	92.9%	(/.f64 V (/.f64 A l))
✓	accuracy	77.6%	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	accuracy	100.0%	(/.f64 A V)
✓	accuracy	99.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	accuracy	96.5%	(/.f64 (/.f64 A V) l)
✓	accuracy	77.8%	(sqrt.f64 (/.f64 (/.f64 A V) l))

Results

140.0ms	187×	0	valid
27.0ms	69×	0	invalid

Compiler

Compiled 155 to 25 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 17.0ms (37% of total)

ival-mult: 14.0ms (30.5% of total)

ival-pow: 8.0ms (17.4% of total)

ival-sqrt: 6.0ms (13.1% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series35.0ms (0.3%)

Counts

17 → 588

Calls

Call 1

Inputs
#<alt (* c0 (sqrt (/ (/ A V) l)))>
#<alt (sqrt (/ (/ A V) l))>
#<alt (/ (/ A V) l)>
#<alt (/ A V)>
#<alt (/ c0 (sqrt (/ V (/ A l))))>
#<alt (sqrt (/ V (/ A l)))>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (/ 1 (/ (sqrt (/ V (/ A l))) c0))>
#<alt (/ (sqrt (/ V (/ A l))) c0)>
#<alt (* (pow (/ V A) -1/2) (/ c0 (sqrt l)))>
#<alt (pow (/ V A) -1/2)>
#<alt (/ V A)>
#<alt (/ c0 (sqrt l))>
#<alt (* (pow (/ V A) -1/2) (* (pow l -1/2) c0))>
#<alt (* (pow l -1/2) c0)>
#<alt (sqrt l)>

Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A (* V l))>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (/ V A)>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))>
#<alt (* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))>
#<alt (* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))>
#<alt (* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>

Calls

147 calls:

Time	Variable		Point	Expression
6.0ms	A	@	-inf	(/ A l)
1.0ms	c0	@	0	(/ c0 (sqrt l))
1.0ms	A	@	-inf	(pow (/ V A) -1/2)
1.0ms	V	@	-inf	(/ c0 (sqrt (/ V (/ A l))))
1.0ms	V	@	-inf	(/ (sqrt (/ V (/ A l))) c0)

rewrite365.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3608×	`/-lowering-/.f32`
3608×	`/-lowering-/.f64`
2564×	`-lowering-.f32`
2564×	`-lowering-.f64`
1886×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	104	94
2	548	93
3	3118	93
0	8380	93

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1685

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))
(exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A))) (.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 A V)) #s(literal 1/2 binary64)) (.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 A V)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))) (/.f64 c0 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))) (/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))) (/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (.f64 V l) #s(literal 1/2 binary64))) (sqrt.f64 A)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))) (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 V))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64)) (.f64 c0 (sqrt.f64 A))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 l (-.f64 #s(literal 0 binary64) V)) #s(literal 1/2 binary64)) (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0) (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 A) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (*.f64 c0 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (*.f64 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0)))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))))
(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 A) (.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (sqrt.f64 V))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sqrt.f64 V) c0)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (pow.f64 (.f64 l (-.f64 #s(literal 0 binary64) V)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 l) c0))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))) (sqrt.f64 l))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(/.f64 (neg.f64 (/.f64 c0 (sqrt.f64 V))) (neg.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (.f64 (sqrt.f64 A) c0) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 l))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 l)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 l) c0))
(/.f64 (neg.f64 (.f64 c0 (sqrt.f64 A))) (neg.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (.f64 l (-.f64 #s(literal 0 binary64) V)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) c0)) (neg.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 c0 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) c0)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))
(*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(.f64 (-.f64 #s(literal 0 binary64) c0) (.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) c0) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(*.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 l) c0)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 A) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) c0))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 V))) (sqrt.f64 (/.f64 A l)))
(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 V #s(literal -1/2 binary64))) (sqrt.f64 A))
(.f64 (.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) c0)
(*.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 l) c0)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 c0) (*.f64 #s(literal -1/2 binary64) (log.f64 l))))
(exp.f64 (+.f64 (log.f64 c0) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 l)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 c0) (.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 c0) (neg.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 l)) (log.f64 c0)))
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 l)) #s(literal 1/2 binary64)) (log.f64 c0)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 c0)))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64))) (log.f64 c0)))
(exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 l) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 l)) (-.f64 #s(literal 0 binary64) (log.f64 c0))))
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 c0))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 c0))))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 c0))))
(-.f64 #s(literal 0 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 l)) #s(literal 1 binary64)) (/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) #s(literal 1 binary64)))
(neg.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))))
(/.f64 c0 (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) c0))
(/.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) c0)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 l)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) c0))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (sqrt.f64 l)))
(pow.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1 binary64))
(*.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)
(*.f64 #s(literal -1 binary64) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (-.f64 #s(literal 0 binary64) c0))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 l #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 l)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 l)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 l))))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 l)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(sqrt.f64 l)
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 l) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 l) #s(literal 1 binary64))
(pow.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 l))
(*.f64 #s(literal 1 binary64) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))

simplify406.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1582×	`fnmadd-define`
1518×	`fma-define`
1176×	`fma-lowering-fma.f32`
1176×	`fma-lowering-fma.f64`
1120×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	3976
1	92	3728
2	247	3724
3	549	3724
4	1513	3724
5	3334	3724
6	5377	3724
7	6569	3724
8	6908	3724
9	7008	3724
10	7068	3724
11	7462	3724
12	7616	3724
13	7618	3724
14	7618	3724
15	7618	3724
16	7618	3724
0	7618	3724

Stop Event

1×	iter limit
1×	saturated

Counts

588 → 588

Calls

Call 1

Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A (* V l))
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
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(/ A V)
(/ A V)
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(/ A V)
(/ A V)
(/ A V)
(/ A V)
(/ A V)
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(* (sqrt (/ A (* V l))) c0)
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(* -1 (* (sqrt (/ A (* V l))) c0))
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(sqrt (/ (* V l) A))
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(sqrt (/ (* V l) A))
(sqrt (/ (* V l) A))
(sqrt (/ (* V l) A))
(sqrt (/ (* V l) A))
(sqrt (/ (* V l) A))
(sqrt (/ (* V l) A))
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(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
(* -1 (* (sqrt (/ A (* V l))) c0))
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(* (sqrt (/ (* V l) A)) (/ 1 c0))
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(* (sqrt (/ (* V l) A)) (/ 1 c0))
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(* (sqrt (/ (* V l) A)) (/ 1 c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
(* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))
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(sqrt (/ A V))
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(sqrt (/ A V))
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(/ V A)
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(/ V A)
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(/ V A)
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(/ V A)
(/ V A)
(/ V A)
(/ V A)
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(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(* c0 (sqrt (/ 1 l)))
(* c0 (sqrt (/ 1 l)))
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(* c0 (sqrt (/ 1 l)))
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(* c0 (sqrt (/ 1 l)))
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
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Outputs
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(sqrt (/ A (* V l)))
(sqrt.f64 (/.f64 A (*.f64 V l)))
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) c0))
(* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) c0))
(* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) c0))
(* (* c0 (pow (sqrt -1) 2)) (sqrt (/ 1 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) c0))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* c0 (sqrt (/ 1 l)))
(*.f64 c0 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)

eval628.0ms (6%)

Compiler: Compiled 39560 to 4083 computations (89.7% saved)

prune331.0ms (3.2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	2748	14	2762
Fresh	12	5	17
Picked	3	2	5
Done	0	1	1
Total	2763	22	2785

Accuracy

99.6%

Counts

2785 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
▶	45.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	21.7%	(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
	62.6%	(/.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l))))
	40.2%	(/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
	63.3%	(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
▶	74.3%	(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
	73.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
	74.1%	(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
▶	74.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
▶	76.3%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
	60.7%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
✓	74.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
	74.1%	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
	45.2%	(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))
	60.8%	(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
	60.7%	(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
	62.6%	(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
	47.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	74.1%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
▶	71.0%	(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))

Compiler

Compiled 592 to 424 computations (28.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 V (/.f64 A l)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))
✓	cost-diff	0	(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))))
✓	cost-diff	0	(sqrt.f64 (*.f64 V l))
✓	cost-diff	0	(sqrt.f64 A)
✓	cost-diff	0	(*.f64 c0 (sqrt.f64 A))
✓	cost-diff	0	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
✓	cost-diff	0	(/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)
✓	cost-diff	0	(sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
✓	cost-diff	128	(/.f64 V (/.f64 #s(literal 1 binary64) l))
✓	cost-diff	0	(/.f64 l A)
✓	cost-diff	0	(*.f64 (/.f64 l A) V)
✓	cost-diff	0	(sqrt.f64 (*.f64 (/.f64 l A) V))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓	cost-diff	0	(/.f64 V A)
✓	cost-diff	0	(*.f64 (/.f64 V A) l)
✓	cost-diff	0	(sqrt.f64 (*.f64 (/.f64 V A) l))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`/-lowering-/.f32`
36×	`/-lowering-/.f64`
20×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	156
1	50	150
2	61	150
3	78	150
4	86	150
0	86	150

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ c0 (sqrt (* (/ V A) l)))
c0
(sqrt (* (/ V A) l))
(* (/ V A) l)
(/ V A)
V
A
l
(/ c0 (sqrt (* (/ l A) V)))
c0
(sqrt (* (/ l A) V))
(* (/ l A) V)
(/ l A)
l
A
V
(/ c0 (sqrt (/ (/ V (/ 1 l)) A)))
c0
(sqrt (/ (/ V (/ 1 l)) A))
(/ (/ V (/ 1 l)) A)
(/ V (/ 1 l))
V
(/ 1 l)
1
l
A
(/ (* c0 (sqrt A)) (sqrt (* V l)))
(* c0 (sqrt A))
c0
(sqrt A)
A
(sqrt (* V l))
(* V l)
V
l
(* c0 (exp (* -1/2 (log (/ V (/ A l))))))
c0
(exp (* -1/2 (log (/ V (/ A l)))))
(* -1/2 (log (/ V (/ A l))))
-1/2
(log (/ V (/ A l)))
(/ V (/ A l))
V
(/ A l)
A
l

Outputs
(/ c0 (sqrt (* (/ V A) l)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
c0
(sqrt (* (/ V A) l))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(* (/ V A) l)
(/.f64 V (/.f64 A l))
(/ V A)
(/.f64 V A)
V
A
l
(/ c0 (sqrt (* (/ l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
c0
(sqrt (* (/ l A) V))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(* (/ l A) V)
(/.f64 V (/.f64 A l))
(/ l A)
(/.f64 l A)
l
A
V
(/ c0 (sqrt (/ (/ V (/ 1 l)) A)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
c0
(sqrt (/ (/ V (/ 1 l)) A))
(sqrt.f64 (/.f64 V (/.f64 A l)))
(/ (/ V (/ 1 l)) A)
(/.f64 V (/.f64 A l))
(/ V (/ 1 l))
(*.f64 V l)
V
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
A
(/ (* c0 (sqrt A)) (sqrt (* V l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(* c0 (sqrt A))
(*.f64 c0 (sqrt.f64 A))
c0
(sqrt A)
(sqrt.f64 A)
A
(sqrt (* V l))
(sqrt.f64 (*.f64 V l))
(* V l)
(*.f64 V l)
V
l
(* c0 (exp (* -1/2 (log (/ V (/ A l))))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
c0
(exp (* -1/2 (log (/ V (/ A l)))))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))
(* -1/2 (log (/ V (/ A l))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))
-1/2
#s(literal -1/2 binary64)
(log (/ V (/ A l)))
(log.f64 (/.f64 V (/.f64 A l)))
(/ V (/ A l))
(/.f64 V (/.f64 A l))
V
(/ A l)
(/.f64 A l)
A
l

localize165.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
✓	accuracy	97.3%	(/.f64 V (/.f64 A l))
✓	accuracy	95.7%	(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))))
✓	accuracy	77.3%	(log.f64 (/.f64 V (/.f64 A l)))
✓	accuracy	100.0%	(sqrt.f64 A)
✓	accuracy	99.9%	(*.f64 c0 (sqrt.f64 A))
✓	accuracy	97.4%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
✓	accuracy	87.3%	(sqrt.f64 (*.f64 V l))
✓	accuracy	99.8%	(/.f64 V (/.f64 #s(literal 1 binary64) l))
✓	accuracy	99.5%	(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
✓	accuracy	97.2%	(/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)
✓	accuracy	79.8%	(sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A))
✓	accuracy	100.0%	(/.f64 l A)
✓	accuracy	99.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓	accuracy	96.9%	(*.f64 (/.f64 l A) V)
✓	accuracy	79.8%	(sqrt.f64 (*.f64 (/.f64 l A) V))
✓	accuracy	100.0%	(/.f64 V A)
✓	accuracy	99.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓	accuracy	97.0%	(*.f64 (/.f64 V A) l)
✓	accuracy	79.8%	(sqrt.f64 (*.f64 (/.f64 V A) l))

Results

72.0ms	134×	0	valid
56.0ms	122×	0	invalid

Compiler

Compiled 168 to 31 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 20.0ms (44.4% of total)

ival-mult: 10.0ms (22.2% of total)

ival-sqrt: 9.0ms (20% of total)

ival-log: 3.0ms (6.7% of total)

ival-exp: 3.0ms (6.7% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series191.0ms (1.8%)

Counts

21 → 732

Calls

Call 1

Inputs
#<alt (/ c0 (sqrt (* (/ V A) l)))>
#<alt (sqrt (* (/ V A) l))>
#<alt (* (/ V A) l)>
#<alt (/ V A)>
#<alt (/ c0 (sqrt (* (/ l A) V)))>
#<alt (sqrt (* (/ l A) V))>
#<alt (* (/ l A) V)>
#<alt (/ l A)>
#<alt (/ V (/ 1 l))>
#<alt (/ c0 (sqrt (/ (/ V (/ 1 l)) A)))>
#<alt (sqrt (/ (/ V (/ 1 l)) A))>
#<alt (/ (/ V (/ 1 l)) A)>
#<alt (/ (* c0 (sqrt A)) (sqrt (* V l)))>
#<alt (* c0 (sqrt A))>
#<alt (sqrt A)>
#<alt (sqrt (* V l))>
#<alt (exp (* -1/2 (log (/ V (/ A l)))))>
#<alt (* c0 (exp (* -1/2 (log (/ V (/ A l))))))>
#<alt (* -1/2 (log (/ V (/ A l))))>
#<alt (log (/ V (/ A l)))>
#<alt (/ V (/ A l))>

Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
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#<alt (* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))>
#<alt (* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))>
#<alt (* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))>
#<alt (* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))>
#<alt (* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))>
#<alt (* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))>
#<alt (* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))>
#<alt (* -1/2 (+ (log (* V l)) (* -1 (log A))))>
#<alt (* -1/2 (+ (log (* V l)) (* -1 (log A))))>
#<alt (* -1/2 (+ (log (* V l)) (* -1 (log A))))>
#<alt (* -1/2 (+ (log (* V l)) (* -1 (log A))))>
#<alt (* -1/2 (+ (log (* V l)) (log (/ 1 A))))>
#<alt (* -1/2 (+ (log (* V l)) (log (/ 1 A))))>
#<alt (* -1/2 (+ (log (* V l)) (log (/ 1 A))))>
#<alt (* -1/2 (+ (log (* V l)) (log (/ 1 A))))>
#<alt (* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))>
#<alt (* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))>
#<alt (* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))>
#<alt (* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))>
#<alt (* -1/2 (+ (log l) (log (/ V A))))>
#<alt (* -1/2 (+ (log l) (log (/ V A))))>
#<alt (* -1/2 (+ (log l) (log (/ V A))))>
#<alt (* -1/2 (+ (log l) (log (/ V A))))>
#<alt (* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))>
#<alt (* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))>
#<alt (* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))>
#<alt (* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))>
#<alt (* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))>
#<alt (* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))>
#<alt (* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))>
#<alt (* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))>
#<alt (+ (log V) (log (/ l A)))>
#<alt (+ (log V) (log (/ l A)))>
#<alt (+ (log V) (log (/ l A)))>
#<alt (+ (log V) (log (/ l A)))>
#<alt (+ (log (/ l A)) (* -1 (log (/ 1 V))))>
#<alt (+ (log (/ l A)) (* -1 (log (/ 1 V))))>
#<alt (+ (log (/ l A)) (* -1 (log (/ 1 V))))>
#<alt (+ (log (/ l A)) (* -1 (log (/ 1 V))))>
#<alt (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))>
#<alt (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))>
#<alt (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))>
#<alt (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))>
#<alt (+ (log (* V l)) (* -1 (log A)))>
#<alt (+ (log (* V l)) (* -1 (log A)))>
#<alt (+ (log (* V l)) (* -1 (log A)))>
#<alt (+ (log (* V l)) (* -1 (log A)))>
#<alt (+ (log (* V l)) (log (/ 1 A)))>
#<alt (+ (log (* V l)) (log (/ 1 A)))>
#<alt (+ (log (* V l)) (log (/ 1 A)))>
#<alt (+ (log (* V l)) (log (/ 1 A)))>
#<alt (+ (log (* -1 (* V l))) (log (/ -1 A)))>
#<alt (+ (log (* -1 (* V l))) (log (/ -1 A)))>
#<alt (+ (log (* -1 (* V l))) (log (/ -1 A)))>
#<alt (+ (log (* -1 (* V l))) (log (/ -1 A)))>
#<alt (+ (log l) (log (/ V A)))>
#<alt (+ (log l) (log (/ V A)))>
#<alt (+ (log l) (log (/ V A)))>
#<alt (+ (log l) (log (/ V A)))>
#<alt (+ (log (/ V A)) (* -1 (log (/ 1 l))))>
#<alt (+ (log (/ V A)) (* -1 (log (/ 1 l))))>
#<alt (+ (log (/ V A)) (* -1 (log (/ 1 l))))>
#<alt (+ (log (/ V A)) (* -1 (log (/ 1 l))))>
#<alt (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))>
#<alt (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))>
#<alt (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))>
#<alt (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>

Calls

183 calls:

Time	Variable		Point	Expression
39.0ms	A	@	0	(* -1/2 (log (/ V (/ A l))))
38.0ms	V	@	0	(* -1/2 (log (/ V (/ A l))))
18.0ms	l	@	0	(* -1/2 (log (/ V (/ A l))))
16.0ms	l	@	-inf	(* -1/2 (log (/ V (/ A l))))
16.0ms	A	@	-inf	(* -1/2 (log (/ V (/ A l))))

rewrite375.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
3266×	`/-lowering-/.f32`
3266×	`/-lowering-/.f64`
1708×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	128	117
2	596	117
3	3156	117
0	8378	117

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2511

Calls

Call 1

Inputs
(/ c0 (sqrt (* (/ V A) l)))
(sqrt (* (/ V A) l))
(* (/ V A) l)
(/ V A)
(/ c0 (sqrt (* (/ l A) V)))
(sqrt (* (/ l A) V))
(* (/ l A) V)
(/ l A)
(/ V (/ 1 l))
(/ c0 (sqrt (/ (/ V (/ 1 l)) A)))
(sqrt (/ (/ V (/ 1 l)) A))
(/ (/ V (/ 1 l)) A)
(/ (* c0 (sqrt A)) (sqrt (* V l)))
(* c0 (sqrt A))
(sqrt A)
(sqrt (* V l))
(exp (* -1/2 (log (/ V (/ A l)))))
(* c0 (exp (* -1/2 (log (/ V (/ A l))))))
(* -1/2 (log (/ V (/ A l))))
(log (/ V (/ A l)))
(/ V (/ A l))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l))))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 c0 (sqrt.f64 (/.f64 V A)))))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 l) (/.f64 c0 (sqrt.f64 (/.f64 V A))))))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))))
(/.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A)))
(/.f64 (neg.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (pow.f64 A #s(literal -1/2 binary64)) c0)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (neg.f64 (/.f64 #s(literal 1 binary64) c0)))
(/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 l A)) c0))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 l A))) (sqrt.f64 V))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (neg.f64 (/.f64 (sqrt.f64 V) c0)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (/.f64 (sqrt.f64 l) c0)))
(/.f64 (neg.f64 (pow.f64 V #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 l A)) c0)))
(/.f64 (neg.f64 (/.f64 c0 (sqrt.f64 (/.f64 l A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (neg.f64 (/.f64 c0 (sqrt.f64 (/.f64 V A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 l)) (sqrt.f64 V))
(/.f64 (/.f64 c0 #s(literal 1 binary64)) (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 (/.f64 (.f64 c0 (sqrt.f64 A)) #s(literal 1 binary64)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) c0)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))))
(/.f64 (.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 V)))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 A l)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (/.f64 l A)))) (sqrt.f64 V))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 (/.f64 V A)))) (sqrt.f64 l))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c0) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))))
(/.f64 (.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 V))) c0) (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 A l)))))
(/.f64 (.f64 (pow.f64 V #s(literal -1/2 binary64)) (.f64 c0 (sqrt.f64 A))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 A) (/.f64 c0 (sqrt.f64 l))) (sqrt.f64 V))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 l A))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (sqrt.f64 A))) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) c0)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (.f64 c0 (sqrt.f64 A)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) c0))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (.f64 V l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 c0 (sqrt.f64 (/.f64 l A))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 c0 (sqrt.f64 (/.f64 V A))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V A))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 l)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (/.f64 V A))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l A))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 V)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (/.f64 l A))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 c0 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 A #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (.f64 V l))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (pow.f64 A #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 V)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 l A))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 V)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 l)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 V A))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 l)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A))) (sqrt.f64 V)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 V)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (.f64 c0 (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 V)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (.f64 c0 (sqrt.f64 A)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (sqrt.f64 (.f64 V l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) c0)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (.f64 c0 (sqrt.f64 A)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (-.f64 #s(literal 0 binary64) (.f64 c0 (sqrt.f64 A))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))) (sqrt.f64 (.f64 V l))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) V)) l)) (-.f64 #s(literal 0 binary64) (/.f64 A l))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) V)) l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A l))) (.f64 (-.f64 #s(literal 0 binary64) A) V)) (*.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (/.f64 A l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) l)) (.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 V A))) (/.f64 A l))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) V)) l)) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 (/.f64 A (-.f64 #s(literal 0 binary64) V)) l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) A)) (.f64 (-.f64 #s(literal 0 binary64) A) (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) A)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) A) (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) A) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 A (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 A (*.f64 V l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 A l)) (.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) V))) (*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 A l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) A) (.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (.f64 V l)))) (.f64 (-.f64 #s(literal 0 binary64) A) A))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) l)) (.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 V (-.f64 #s(literal 0 binary64) A)))) (-.f64 #s(literal 0 binary64) (/.f64 A l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 A l))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) V)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) (/.f64 A l))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) l)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 V A))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 #s(literal -1 binary64) l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) A)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) A)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (.f64 V l))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 A l)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) V))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 A l)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) A) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) (.f64 V l)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) A))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) l)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 V (-.f64 #s(literal 0 binary64) A)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 #s(literal 1 binary64) l)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) A) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 V l)))
(/.f64 (neg.f64 (*.f64 (/.f64 V A) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) l))
(/.f64 (neg.f64 (*.f64 (/.f64 l A) (-.f64 #s(literal 0 binary64) V))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A))) (/.f64 #s(literal 1 binary64) l))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1 binary64))
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 A (*.f64 V l))))
(*.f64 V (/.f64 l A))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(*.f64 (/.f64 V (/.f64 A l)) #s(literal 1 binary64))
(*.f64 (/.f64 l A) V)
(*.f64 #s(literal 1 binary64) (/.f64 V (/.f64 A l)))
(.f64 (.f64 V l) (/.f64 #s(literal 1 binary64) A))
(.f64 (.f64 V l) (/.f64 (/.f64 #s(literal 1 binary64) A) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) A))
(*.f64 #s(literal -1 binary64) (/.f64 l (/.f64 A (-.f64 #s(literal 0 binary64) V))))
(*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 V (-.f64 #s(literal 0 binary64) A)))
(*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(*.f64 (-.f64 #s(literal 0 binary64) V) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) (/.f64 #s(literal -1 binary64) A))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) (/.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) A))))
(.f64 (/.f64 #s(literal 1 binary64) A) (.f64 V l))
(.f64 (/.f64 #s(literal -1 binary64) A) (-.f64 #s(literal 0 binary64) (.f64 V l)))
(*.f64 (/.f64 #s(literal -1 binary64) A) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (-.f64 #s(literal 0 binary64) l)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)) (-.f64 #s(literal 0 binary64) V))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) A) #s(literal -1 binary64))
(*.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)) (-.f64 #s(literal 0 binary64) l))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) A) #s(literal 1 binary64)) (.f64 V l))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 V l)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 V (-.f64 #s(literal 0 binary64) A))) (-.f64 #s(literal 0 binary64) l))
(.f64 (.f64 (/.f64 V A) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) (-.f64 #s(literal 0 binary64) l))
(.f64 (pow.f64 (.f64 (/.f64 A V) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) l))
(.f64 (pow.f64 (.f64 (/.f64 A (-.f64 #s(literal 0 binary64) V)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) l))
(*.f64 (pow.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) l))
(*.f64 (exp.f64 (log.f64 (/.f64 V (-.f64 #s(literal 0 binary64) A)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) l))))

simplify350.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2160×	`fnmadd-define`
1930×	`fma-lowering-fma.f32`
1930×	`fma-lowering-fma.f64`
1878×	`fma-define`
1608×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	4736
1	212	4624
2	496	4624
3	867	4624
4	1642	4624
5	2761	4624
6	5022	4624
7	6434	4624
8	7438	4624
0	8010	4624

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

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

Outputs
(* (sqrt (/ A (* V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
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(sqrt (/ (* V l) A))
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(sqrt (/ (* V l) A))
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(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
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(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
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(/ (* V l) A)
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
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(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (-.f64 #s(literal 0 binary64) c0))
(* -1/2 (+ (log V) (log (/ l A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log V) (log (/ l A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log V) (log (/ l A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log V) (log (/ l A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log (/ l A)) (* -1 (log (/ 1 V)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))
(* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V))))
(* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V))))
(* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V))))
(* -1/2 (+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V)))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V))))
(* -1/2 (+ (log (* V l)) (* -1 (log A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (* -1 (log A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (* -1 (log A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (* -1 (log A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (log (/ 1 A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (log (/ 1 A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (log (/ 1 A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* V l)) (log (/ 1 A))))
(.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (.f64 V l)) (log.f64 A)))
(* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))
(.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A))))
(* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))
(.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A))))
(* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))
(.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A))))
(* -1/2 (+ (log (* -1 (* V l))) (log (/ -1 A))))
(.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A))))
(* -1/2 (+ (log l) (log (/ V A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log l) (log (/ V A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log l) (log (/ V A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log l) (log (/ V A))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log (/ V A)) (* -1 (log (/ 1 l)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 l) (log.f64 (/.f64 V A))))
(* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* -1/2 (+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(+ (log V) (log (/ l A)))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log V) (log (/ l A)))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log V) (log (/ l A)))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log V) (log (/ l A)))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log (/ l A)) (* -1 (log (/ 1 V))))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log (/ l A)) (* -1 (log (/ 1 V))))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log (/ l A)) (* -1 (log (/ 1 V))))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log (/ l A)) (* -1 (log (/ 1 V))))
(+.f64 (log.f64 V) (log.f64 (/.f64 l A)))
(+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))
(-.f64 (log.f64 (*.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V)))
(+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))
(-.f64 (log.f64 (*.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V)))
(+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))
(-.f64 (log.f64 (*.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V)))
(+ (log (* -1 (/ l A))) (* -1 (log (/ -1 V))))
(-.f64 (log.f64 (*.f64 l (/.f64 #s(literal -1 binary64) A))) (log.f64 (/.f64 #s(literal -1 binary64) V)))
(+ (log (* V l)) (* -1 (log A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (* -1 (log A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (* -1 (log A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (* -1 (log A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (log (/ 1 A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (log (/ 1 A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (log (/ 1 A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* V l)) (log (/ 1 A)))
(-.f64 (log.f64 (*.f64 V l)) (log.f64 A))
(+ (log (* -1 (* V l))) (log (/ -1 A)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A)))
(+ (log (* -1 (* V l))) (log (/ -1 A)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A)))
(+ (log (* -1 (* V l))) (log (/ -1 A)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A)))
(+ (log (* -1 (* V l))) (log (/ -1 A)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (log.f64 (/.f64 #s(literal -1 binary64) A)))
(+ (log l) (log (/ V A)))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log l) (log (/ V A)))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log l) (log (/ V A)))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log l) (log (/ V A)))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log (/ V A)) (* -1 (log (/ 1 l))))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log (/ V A)) (* -1 (log (/ 1 l))))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log (/ V A)) (* -1 (log (/ 1 l))))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log (/ V A)) (* -1 (log (/ 1 l))))
(+.f64 (log.f64 l) (log.f64 (/.f64 V A)))
(+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log (* -1 (/ V A))) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 (/.f64 (/.f64 V #s(literal -1 binary64)) A)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)

eval368.0ms (3.5%)

Compiler: Compiled 46284 to 3818 computations (91.8% saved)

prune193.0ms (1.9%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	3234	9	3243
Fresh	7	7	14
Picked	0	5	5
Done	0	3	3
Total	3241	24	3265

Accuracy

100.0%

Counts

3265 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
	25.4%	(/.f64 (*.f64 c0 (sqrt.f64 A)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
✓	45.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	21.7%	(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
▶	40.2%	(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
✓	74.3%	(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
	73.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
▶	74.1%	(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
✓	74.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓	76.3%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
▶	60.7%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
✓	74.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
▶	74.1%	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
	38.9%	(.f64 (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
▶	60.8%	(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
	74.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
	45.2%	(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))
	63.4%	(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
	63.1%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
	47.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	23.1%	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	74.1%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	71.0%	(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))

Compiler

Compiled 594 to 426 computations (28.3% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 V l))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
✓	cost-diff	0	(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
✓	cost-diff	0	(/.f64 A V)
✓	cost-diff	0	(pow.f64 (/.f64 A V) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
✓	cost-diff	0	(sqrt.f64 (/.f64 A V))
✓	cost-diff	0	(sqrt.f64 l)
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 l))
✓	cost-diff	0	(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
✓	cost-diff	0	(/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))
✓	cost-diff	0	(sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A)))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) l) A)
✓	cost-diff	0	(/.f64 A l)
✓	cost-diff	0	(/.f64 V (/.f64 A l))
✓	cost-diff	0	(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)

Rules

248×	`-lowering-.f32`
248×	`-lowering-.f64`
180×	`sum3-define`
174×	`fma-define`
138×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	169
1	61	167
2	101	166
3	182	166
4	261	166
5	376	166
6	567	166
7	615	166
8	718	166
9	775	166
10	785	166
11	811	166
0	811	166

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (pow (/ V (/ A l)) -1/2) c0)
(pow (/ V (/ A l)) -1/2)
(/ V (/ A l))
V
(/ A l)
A
l
-1/2
c0
(/ c0 (sqrt (/ V (* (/ 1 l) A))))
c0
(sqrt (/ V (* (/ 1 l) A)))
(/ V (* (/ 1 l) A))
V
(* (/ 1 l) A)
(/ 1 l)
1
l
A
(* (/ c0 (sqrt l)) (sqrt (/ A V)))
(/ c0 (sqrt l))
c0
(sqrt l)
l
(sqrt (/ A V))
(/ A V)
A
V
(/ 1 (/ (pow (/ A V) -1/2) (/ c0 (sqrt l))))
1
(/ (pow (/ A V) -1/2) (/ c0 (sqrt l)))
(pow (/ A V) -1/2)
(/ A V)
A
V
-1/2
(/ c0 (sqrt l))
c0
(sqrt l)
l
(/ c0 (/ (sqrt (- 0 (* V l))) (sqrt (- 0 A))))
c0
(/ (sqrt (- 0 (* V l))) (sqrt (- 0 A)))
(sqrt (- 0 (* V l)))
(- 0 (* V l))
0
(* V l)
V
l
(sqrt (- 0 A))
(- 0 A)
A

Outputs
(* (pow (/ V (/ A l)) -1/2) c0)
(.f64 (pow.f64 (/.f64 (.f64 V l) A) #s(literal -1/2 binary64)) c0)
(pow (/ V (/ A l)) -1/2)
(pow.f64 (/.f64 (*.f64 V l) A) #s(literal -1/2 binary64))
(/ V (/ A l))
(/.f64 (*.f64 V l) A)
V
(/ A l)
(/.f64 A l)
A
l
-1/2
#s(literal -1/2 binary64)
c0
(/ c0 (sqrt (/ V (* (/ 1 l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
c0
(sqrt (/ V (* (/ 1 l) A)))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(/ V (* (/ 1 l) A))
(/.f64 (*.f64 V l) A)
V
(* (/ 1 l) A)
(/.f64 A l)
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)
l
A
(* (/ c0 (sqrt l)) (sqrt (/ A V)))
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0))
(/ c0 (sqrt l))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt l)
(sqrt.f64 l)
l
(sqrt (/ A V))
(sqrt.f64 (/.f64 A V))
(/ A V)
(/.f64 A V)
A
V
(/ 1 (/ (pow (/ A V) -1/2) (/ c0 (sqrt l))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(/ (pow (/ A V) -1/2) (/ c0 (sqrt l)))
(/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(pow (/ A V) -1/2)
(pow.f64 (/.f64 A V) #s(literal -1/2 binary64))
(/ A V)
(/.f64 A V)
A
V
-1/2
#s(literal -1/2 binary64)
(/ c0 (sqrt l))
(/.f64 c0 (sqrt.f64 l))
c0
(sqrt l)
(sqrt.f64 l)
l
(/ c0 (/ (sqrt (- 0 (* V l))) (sqrt (- 0 A))))
(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))
c0
(/ (sqrt (- 0 (* V l))) (sqrt (- 0 A)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(sqrt (- 0 (* V l)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(- 0 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
0
#s(literal 0 binary64)
(* V l)
(*.f64 V l)
V
l
(sqrt (- 0 A))
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(- 0 A)
(-.f64 #s(literal 0 binary64) A)
A

localize201.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
✓	accuracy	99.1%	(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
✓	accuracy	88.7%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
✓	accuracy	99.8%	(/.f64 c0 (sqrt.f64 l))
✓	accuracy	97.6%	(/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
✓	accuracy	91.0%	(pow.f64 (/.f64 A V) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 l)
✓	accuracy	99.8%	(/.f64 c0 (sqrt.f64 l))
✓	accuracy	97.7%	(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
✓	accuracy	91.0%	(sqrt.f64 (/.f64 A V))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) l) A)
✓	accuracy	99.1%	(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
✓	accuracy	95.2%	(/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))
✓	accuracy	86.8%	(sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A)))
✓	accuracy	100.0%	(/.f64 A l)
✓	accuracy	99.1%	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
✓	accuracy	95.2%	(/.f64 V (/.f64 A l))
✓	accuracy	86.8%	(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))

Results

70.0ms	134×	0	invalid
66.0ms	122×	0	valid

Compiler

Compiled 190 to 32 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 20.0ms (37% of total)

ival-sqrt: 12.0ms (22.2% of total)

ival-pow: 10.0ms (18.5% of total)

ival-mult: 7.0ms (12.9% of total)

ival-sub: 4.0ms (7.4% of total)

const: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

21 → 684

Calls

Call 1

Inputs
#<alt (* (pow (/ V (/ A l)) -1/2) c0)>
#<alt (pow (/ V (/ A l)) -1/2)>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (* (/ 1 l) A)>
#<alt (/ c0 (sqrt (/ V (* (/ 1 l) A))))>
#<alt (sqrt (/ V (* (/ 1 l) A)))>
#<alt (/ V (* (/ 1 l) A))>
#<alt (* (/ c0 (sqrt l)) (sqrt (/ A V)))>
#<alt (/ c0 (sqrt l))>
#<alt (sqrt l)>
#<alt (sqrt (/ A V))>
#<alt (/ 1 (/ (pow (/ A V) -1/2) (/ c0 (sqrt l))))>
#<alt (/ (pow (/ A V) -1/2) (/ c0 (sqrt l)))>
#<alt (pow (/ A V) -1/2)>
#<alt (/ A V)>
#<alt (/ c0 (/ (sqrt (- 0 (* V l))) (sqrt (- 0 A))))>
#<alt (/ (sqrt (- 0 (* V l))) (sqrt (- 0 A)))>
#<alt (sqrt (- 0 (* V l)))>
#<alt (- 0 (* V l))>
#<alt (sqrt (- 0 A))>

Outputs
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (sqrt (/ A (* V l)))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (/ A l)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (/ (* V l) A)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (* c0 (sqrt (/ 1 l)))>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (sqrt l)>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt l) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ A V)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (sqrt (/ A V))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* (sqrt (/ (* V l) A)) (/ 1 c0))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (* -1 (* (sqrt (/ (* V l) A)) (/ (pow (sqrt -1) 2) c0)))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ V A)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (sqrt (/ V A))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ V A)) (pow (sqrt -1) 2)))>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (/ A V)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (* -1 (* (sqrt (/ A (* V l))) c0))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (* -1 (sqrt (/ (* V l) A)))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (sqrt (/ (* V l) A))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* (sqrt (* V l)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* V l)) (sqrt -1)))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* -1 (* V l))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* (sqrt A) (sqrt -1))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (sqrt -1)))>

Calls

171 calls:

Time	Variable		Point	Expression
3.0ms	V	@	inf	(pow (/ A V) -1/2)
1.0ms	V	@	-inf	(/ (sqrt (- 0 (* V l))) (sqrt (- 0 A)))
1.0ms	V	@	-inf	(pow (/ A V) -1/2)
0.0ms	V	@	0	(pow (/ A V) -1/2)
0.0ms	A	@	-inf	(pow (/ A V) -1/2)

rewrite368.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
2720×	`/-lowering-/.f32`
2720×	`/-lowering-/.f64`
2048×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	120
1	150	114
2	754	111
3	3947	111
0	8958	111

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2249

Calls

Call 1

Inputs
(* (pow (/ V (/ A l)) -1/2) c0)
(pow (/ V (/ A l)) -1/2)
(/ V (/ A l))
(/ A l)
(* (/ 1 l) A)
(/ c0 (sqrt (/ V (* (/ 1 l) A))))
(sqrt (/ V (* (/ 1 l) A)))
(/ V (* (/ 1 l) A))
(* (/ c0 (sqrt l)) (sqrt (/ A V)))
(/ c0 (sqrt l))
(sqrt l)
(sqrt (/ A V))
(/ 1 (/ (pow (/ A V) -1/2) (/ c0 (sqrt l))))
(/ (pow (/ A V) -1/2) (/ c0 (sqrt l)))
(pow (/ A V) -1/2)
(/ A V)
(/ c0 (/ (sqrt (- 0 (* V l))) (sqrt (- 0 A))))
(/ (sqrt (- 0 (* V l))) (sqrt (- 0 A)))
(sqrt (- 0 (* V l)))
(- 0 (* V l))
(sqrt (- 0 A))

Outputs
(exp.f64 (log.f64 (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 c0 (sqrt.f64 l))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A)))))
(exp.f64 (+.f64 (log.f64 (/.f64 c0 (sqrt.f64 l))) (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 A V))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A))) (log.f64 (/.f64 c0 (sqrt.f64 l)))))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 A V))) #s(literal -1 binary64)) (log.f64 (/.f64 c0 (sqrt.f64 l)))))
(exp.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 l)) (.f64 (log.f64 (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 l))))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A))) (log.f64 (/.f64 (sqrt.f64 l) c0))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 A V))) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 l) c0))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 l))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64))) (neg.f64 (.f64 c0 (sqrt.f64 A)))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (/.f64 (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) c0))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (/.f64 (sqrt.f64 l) c0) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 l) c0)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 A) (/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (sqrt.f64 A)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (pow.f64 l #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 A)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (pow.f64 l #s(literal -1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 A)))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 (/.f64 A l) V)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 V (/.f64 A l))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 V (/.f64 A l))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (sqrt.f64 l))
(.f64 (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 V) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) (sqrt.f64 V))
(.f64 (pow.f64 A #s(literal -1/2 binary64)) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64)) (pow.f64 A #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 V (-.f64 #s(literal 0 binary64) (/.f64 A l)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (*.f64 V (-.f64 #s(literal 0 binary64) l)))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V A)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 V A)) #s(literal -1 binary64))) (sqrt.f64 l))
(*.f64 (sqrt.f64 (/.f64 (/.f64 V A) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V))))
(/.f64 (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 V) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V))) (pow.f64 l #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 l) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 l) (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V))))
(.f64 (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 V) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (sqrt.f64 V))
(.f64 (pow.f64 (.f64 V l) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 l))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 V (-.f64 #s(literal 0 binary64) l)))
(+.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(fma.f64 V (-.f64 #s(literal 0 binary64) l) #s(literal 0 binary64))
(fma.f64 l (-.f64 #s(literal 0 binary64) V) #s(literal 0 binary64))
(fma.f64 l (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) #s(literal 0 binary64))
(fma.f64 (*.f64 V l) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 V l) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) V #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) l #s(literal 0 binary64))
(neg.f64 (*.f64 V l))
(/.f64 V (/.f64 #s(literal -1 binary64) l))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V)))
(/.f64 (*.f64 V l) #s(literal -1 binary64))
(/.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) V))
(/.f64 (-.f64 #s(literal 0 binary64) V) (/.f64 #s(literal 1 binary64) l))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (/.f64 #s(literal 1 binary64) l))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) l))
(pow.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) V)) #s(literal -1 binary64))
(*.f64 V (-.f64 #s(literal 0 binary64) l))
(*.f64 V (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) l))))
(*.f64 l (-.f64 #s(literal 0 binary64) V))
(.f64 l (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)))
(.f64 (.f64 V l) #s(literal -1 binary64))
(.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 V l))
(*.f64 (-.f64 #s(literal 0 binary64) l) V)
(*.f64 (-.f64 #s(literal 0 binary64) V) l)
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) l))) V)
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 V l))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) A))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) A)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) A))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) A)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) A))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 0 binary64) A))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) A) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) A)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(*.f64 (sqrt.f64 A) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))

simplify236.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2412×	`fnmadd-define`
1464×	`fma-define`
1372×	`sum3-define`
1288×	`fma-lowering-fma.f32`
1288×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	4584
1	119	4268
2	301	4268
3	623	4268
4	1504	4268
5	3489	4268
6	5339	4268
7	6654	4268
8	6996	4268
9	7128	4268
10	7175	4268
11	7388	4268
0	8234	4268

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2))))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(* (sqrt (/ A (* V l))) c0)
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ A (* V l))) (pow (sqrt -1) 2)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(sqrt (/ A (* V l)))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(* (sqrt (/ A (* V l))) (pow (sqrt -1) 2))
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ (* V l) A)
(/ A l)
(/ A l)
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Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
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(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
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(* (sqrt (/ A (* V l))) (* c0 (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (-.f64 #s(literal 0 binary64) c0))
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
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(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
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(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
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eval347.0ms (3.3%)

Compiler: Compiled 51293 to 3825 computations (92.5% saved)

prune247.0ms (2.4%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	3074	3	3077
Fresh	0	11	11
Picked	3	2	5
Done	0	8	8
Total	3077	24	3101

Accuracy

100.0%

Counts

3101 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
	61.6%	(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
	25.4%	(/.f64 (*.f64 c0 (sqrt.f64 A)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
✓	45.6%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	21.7%	(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
	74.3%	(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
	40.2%	(/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
✓	74.3%	(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
	73.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
✓	74.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
✓	76.3%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓	74.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
✓	74.1%	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
	38.9%	(.f64 (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
✓	60.8%	(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
	74.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
	45.2%	(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))
	63.4%	(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
	63.1%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
	47.6%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	23.1%	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
✓	76.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	74.1%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	71.0%	(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))

Compiler

Compiled 881 to 417 computations (52.7% saved)

regimes126.0ms (1.2%)

Counts

49 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(.f64 c0 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))))
(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
(.f64 (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
(/.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l))))
(/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))
(.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))
(/.f64 (*.f64 c0 (sqrt.f64 A)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))

Outputs

(*.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V)))

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

Calls

8 calls:

27.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
14.0ms	A
14.0ms	l
13.0ms	V
13.0ms	c0

Results

Accuracy	Segments	Branch
76.5%	1	`c0`
92.8%	2	`A`
86.5%	2	`V`
88.8%	2	`l`
82.4%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
84.5%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
84.5%	3	`(/.f64 A (*.f64 V l))`
96.4%	5	`(*.f64 V l)`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes31.0ms (0.3%)

Counts

47 → 5

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(.f64 c0 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))))
(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
(.f64 (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))
(/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
(/.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l))))
(/.f64 (.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))

Outputs
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))

Calls

2 calls:

14.0ms	(*.f64 V l)
13.0ms	A

Results

Accuracy	Segments	Branch
95.7%	5	`(*.f64 V l)`
90.2%	2	`A`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Counts

44 → 5

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))
(/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(.f64 c0 (exp.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))) #s(literal -1 binary64))))
(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
(.f64 (/.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(*.f64 c0 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) V))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 V l))) c0))

Outputs
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (*.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))

Calls

1 calls:

12.0ms

(*.f64 V l)

Results

Accuracy	Segments	Branch
95.7%	5	`(*.f64 V l)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes24.0ms (0.2%)

Counts

36 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(.f64 c0 (exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l))))))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l))))

Outputs
(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Calls

2 calls:

11.0ms	A
10.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
90.2%	2	`A`
92.1%	4	`(*.f64 V l)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 (sqrt.f64 (/.f64 A V)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))

Outputs
(*.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.8%	2	`A`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.1%	2	`A`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 V l)) c0))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))

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

Calls

3 calls:

8.0ms	l
7.0ms	A
6.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
85.0%	2	`l`
90.3%	4	`(*.f64 V l)`
88.1%	2	`A`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes19.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

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

Calls

3 calls:

6.0ms	(*.f64 V l)
6.0ms	A
6.0ms	V

Results

Accuracy	Segments	Branch
81.3%	2	`V`
87.7%	3	`(*.f64 V l)`
85.8%	2	`A`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes37.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c0)) (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 V l) (/.f64 l A))) (.f64 (.f64 V l) V))))

Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A)))

Calls

7 calls:

6.0ms	A
5.0ms	l
5.0ms	V
5.0ms	(*.f64 V l)
5.0ms	(/.f64 A (*.f64 V l))

Results

Accuracy	Segments	Branch
79.9%	2	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
76.5%	1	`V`
80.0%	2	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
80.0%	2	`(/.f64 A (*.f64 V l))`
78.5%	2	`l`
76.5%	1	`A`
80.1%	3	`(*.f64 V l)`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes96.0ms (0.9%)

Counts

14 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 V l)) A)))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 #s(literal 1 binary64) l)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (*.f64 (/.f64 #s(literal 1 binary64) l) A))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 #s(literal 1 binary64) (/.f64 l A)))))

Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Calls

3 calls:

87.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Accuracy	Segments	Branch
79.7%	2	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
79.7%	2	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.7%	2	`(/.f64 A (*.f64 V l))`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes8.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) c0)

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

Calls

3 calls:

3.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
2.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
2.0ms	(/.f64 A (*.f64 V l))

Results

Accuracy	Segments	Branch
79.7%	2	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
79.7%	2	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.7%	2	`(/.f64 A (*.f64 V l))`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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))))

Calls

8 calls:

3.0ms	V
1.0ms	l
1.0ms	c0
1.0ms	A
1.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
74.1%	1	`c0`
74.1%	1	`A`
74.1%	1	`V`
74.1%	1	`l`
74.1%	1	`(*.f64 V l)`
74.1%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
74.1%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
74.1%	1	`(/.f64 A (*.f64 V l))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.42229441089289e-306	1.2523332507334124e-294

Results

12.0ms	160×	0	valid
10.0ms	122×	0	invalid

Compiler

Compiled 359 to 274 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.6% of total)

ival-mult: 4.0ms (39.6% of total)

ival-sqrt: 2.0ms (19.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.816527152354139e+271	7.340925500282185e+277
0.0ms	1.2082735428658627e-302	1.0639889921521891e-296
0.0ms	-4.0042e-318	0.0
0.0ms	-inf	-6.223476639941081e+303

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.816527152354139e+271	7.340925500282185e+277
0.0ms	1.2082735428658627e-302	1.0639889921521891e-296
0.0ms	-4.0042e-318	0.0
0.0ms	-inf	-6.223476639941081e+303

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1.42229441089289e-306	1.2523332507334124e-294

Results

12.0ms	160×	0	valid
10.0ms	149×	0	invalid

Compiler

Compiled 309 to 224 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.1% of total)

ival-div: 2.0ms (21.1% of total)

ival-sqrt: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-1.42229441089289e-306	1.2523332507334124e-294

Results

20.0ms	199×	0	invalid
13.0ms	160×	0	valid

Compiler

Compiled 309 to 224 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (45.1% of total)

ival-div: 3.0ms (27.1% of total)

ival-sqrt: 3.0ms (27.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-1.42229441089289e-306	1.2523332507334124e-294

Results

12.0ms	160×	0	valid
9.0ms	137×	0	invalid

Compiler

Compiled 299 to 214 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43.8% of total)

ival-div: 2.0ms (21.9% of total)

ival-sqrt: 2.0ms (21.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-1.42229441089289e-306	1.2523332507334124e-294

Results

13.0ms	160×	0	valid
11.0ms	159×	0	invalid

Compiler

Compiled 299 to 214 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (42.1% of total)

ival-div: 2.0ms (21% of total)

ival-sqrt: 2.0ms (21% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.816527152354139e+271	7.340925500282185e+277
0.0ms	1.2082735428658627e-302	1.0639889921521891e-296

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.03e-322	8.9798184867e-314

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5566325505836065e-289	8.748927336710303e-289

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.5e-323

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	380
1	114	380
2	125	380
3	131	380
4	133	380

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 l A) V)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 l A) V)))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 81/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A))))
(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 0 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) V))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V)))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 l A) V)))))))
(if (<=.f64 (.f64 l V) #s(literal -inf.0 binary64)) (.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (.f64 l V) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (/.f64 l (/.f64 #s(literal -1 binary64) V))) (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 l V) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 l V) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V)))) (/.f64 c0 (sqrt.f64 (.f64 V (/.f64 l A))))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (neg.f64 (.f64 V l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))
(if (<=.f64 (.f64 l V) #s(literal -inf.0 binary64)) (.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (if (<=.f64 (.f64 l V) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 l V))) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (if (<=.f64 (.f64 l V) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 l V) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V)))) (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 c0 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 V A)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (sqrt.f64 (/.f64 A V)) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))
(if (<=.f64 A #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))
(if (<=.f64 (.f64 V l) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (.f64 V l) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 l A) V)))))
(if (<=.f64 (.f64 l V) #s(literal 1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (.f64 l V) #s(literal 19999999999999999058197170507947502291002684749293990408887399067504444618416270201549474508798139751928988117598053793648018567516882951833813598972778780887382558937316468701808219757041401886296114093588220347708916685745589530112467999364473271158685885882886252396544 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 l V)))) (/.f64 c0 (sqrt.f64 (.f64 V (/.f64 l A))))))
(if (<=.f64 (/.f64 A (*.f64 V l)) #s(literal 81/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A))))
(if (<=.f64 (/.f64 A (*.f64 l V)) #s(literal 81/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (/.f64 c0 (sqrt.f64 (/.f64 (/.f64 V (/.f64 #s(literal 1 binary64) l)) A))))
(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))
(if (<=.f64 (/.f64 A (.f64 l V)) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) #s(literal -1/2 binary64))) (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))
(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 0 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))
(if (<=.f64 (/.f64 A (.f64 l V)) #s(literal 0 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))

soundness1.8s (17%)

Rules

3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
3608×	`/-lowering-/.f32`
3608×	`/-lowering-/.f64`
3574×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	128	117
2	596	117
3	3156	117
0	8378	117
0	31	120
1	150	114
2	754	111
3	3947	111
0	8958	111
0	24	94
1	104	94
2	548	93
3	3118	93
0	8380	93
0	8	22
1	25	22
2	119	22
3	651	22
4	3236	22
0	8386	22

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1046 to 550 computations (47.4% saved)

preprocess115.0ms (1.1%)

Remove: (negabs c0)
Compiler: Compiled 1724 to 742 computations (57% saved)

Iter	Nodes	Cost
0	31	169
1	61	167
2	101	166
3	182	166
4	261	166
5	376	166
6	567	166
7	615	166
8	718	166
9	775	166
10	785	166
11	811	166
0	811	166

Iter	Nodes	Cost
0	31	169
1	61	167
2	101	166
3	182	166
4	261	166
5	376	166
6	567	166
7	615	166
8	718	166
9	775	166
10	785	166
11	811	166
0	811	166

analyze358.0ms (3.4%)

sample1.8s (17.1%)

preprocess65.0ms (0.6%)

explain92.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize40.0ms (0.4%)

series15.0ms (0.1%)

rewrite222.0ms (2.1%)

simplify101.0ms (1%)

eval67.0ms (0.6%)

prune85.0ms (0.8%)

simplify10.0ms (0.1%)

localize201.0ms (1.9%)

series35.0ms (0.3%)

rewrite365.0ms (3.5%)

simplify406.0ms (3.9%)

eval628.0ms (6%)

prune331.0ms (3.2%)

simplify9.0ms (0.1%)

localize165.0ms (1.6%)

series191.0ms (1.8%)

rewrite375.0ms (3.6%)

simplify350.0ms (3.4%)

eval368.0ms (3.5%)

prune193.0ms (1.9%)

simplify32.0ms (0.3%)

localize201.0ms (1.9%)

series19.0ms (0.2%)

rewrite368.0ms (3.5%)

simplify236.0ms (2.3%)

eval347.0ms (3.3%)

prune247.0ms (2.4%)

regimes126.0ms (1.2%)

regimes31.0ms (0.3%)

regimes16.0ms (0.2%)

regimes24.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes23.0ms (0.2%)

regimes19.0ms (0.2%)

regimes37.0ms (0.4%)

regimes96.0ms (0.9%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch35.0ms (0.3%)

bsearch47.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.2%)

soundness1.8s (17%)

preprocess115.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	169
1	61	167
2	101	166
3	182	166
4	261	166
5	376	166
6	567	166
7	615	166
8	718	166
9	775	166
10	785	166
11	811	166
0	811	166