Metrics for Henrywood and Agarwal, Equation (3)

analyze308.0ms (3.1%)

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: 80.0ms

ival-mult: 36.0ms (44.9% of total)

ival-sqrt: 25.0ms (31.2% of total)

ival-div: 16.0ms (19.9% of total)

const: 2.0ms (2.5% of total)

backward-pass: 1.0ms (1.2% of total)

sample1.6s (15.5%)

Results

602.0ms	8256×	0	valid
486.0ms	6509×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-mult: 293.0ms (49.8% of total)

ival-sqrt: 143.0ms (24.3% of total)

ival-div: 133.0ms (22.6% of total)

const: 14.0ms (2.4% of total)

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

Bogosity

preprocess68.0ms (0.7%)

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)

explain79.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
81	1	(1.8366056742387598e+147 1.8450561767068777e-273 8.551747442432084e+63 1.7552631761828454e+308)	4	(7.889492662140114e+169 -2.728498195463112e-45 -1.0396204819244738e+121 6.8833267765878575e+155)	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
30	0	-	4	(2.691520908552499e-96 -9.385330282146346e-90 -2.555868533256279e-112 3.981174059991393e-205)	`(/.f64 A (*.f64 V l))`
4	1	(1.8883542127097868e+31 2.0952912411888946e-287 -4.826832959380715e+219 -1.8112789222069751e+202)	2	(1.8366056742387598e+147 1.8450561767068777e-273 8.551747442432084e+63 1.7552631761828454e+308)	`(.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

53.0ms

512×

valid

Compiler

Compiled 74 to 26 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (53.7% of total)

ival-div: 4.0ms (21.5% of total)

ival-sqrt: 4.0ms (21.5% of total)

const: 1.0ms (5.4% 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
▶	70.0%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (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

localize31.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 V l)
✓	accuracy	98.9%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	accuracy	90.0%	(/.f64 A (*.f64 V l))
✓	accuracy	71.3%	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

23.0ms

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 (46.1% of total)

ival-div: 2.0ms (23% of total)

ival-sqrt: 2.0ms (23% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

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
3.0ms	V	@	0	(* c0 (sqrt (/ A (* V l))))
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	l	@	0	(* c0 (sqrt (/ A (* V l))))

rewrite278.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3048×	`-lowering-.f32`
3048×	`-lowering-.f64`
1776×	`/-lowering-/.f32`
1776×	`/-lowering-/.f64`
1494×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	25	22
2	124	22
3	712	22
4	4692	22
0	8451	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 454

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)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) c0))
(neg.f64 (*.f64 c0 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (.f64 c0 (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l)))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 A) (neg.f64 c0)) (sqrt.f64 (.f64 V 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 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l))) (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) (*.f64 c0 (sqrt.f64 (/.f64 A l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(/.f64 (.f64 (sqrt.f64 A) (neg.f64 c0)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V l))))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))
(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
(/.f64 (.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/2 binary64))) (pow.f64 A #s(literal -1/2 binary64)))
(/.f64 (neg.f64 c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 A) (neg.f64 c0))) (sqrt.f64 (.f64 V l)))
(/.f64 (neg.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (neg.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (.f64 (.f64 c0 (sqrt.f64 A)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 V l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
(/.f64 (*.f64 c0 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 c0 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (*.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (.f64 (.f64 c0 (sqrt.f64 A)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 V l))))
(/.f64 (.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l))))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 A)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) #s(literal 1 binary64)) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1/2 binary64)) c0) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 l))) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (/.f64 c0 (sqrt.f64 l))) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (sqrt.f64 V))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (/.f64 (/.f64 #s(literal -1 binary64) l) V)) (.f64 A A))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 A A)) (/.f64 (/.f64 #s(literal -1 binary64) l) V)) A)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal -1 binary64)) l)
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l) #s(literal -1 binary64)) V)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))) (.f64 V (-.f64 #s(literal 0 binary64) l))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) (/.f64 V (/.f64 A l)))))
(pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (/.f64 A (*.f64 V l)) (/.f64 V (/.f64 A l))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 V (/.f64 A l)) (/.f64 V (/.f64 A l))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 (/.f64 A (.f64 V l)) (/.f64 V (/.f64 A l))) (/.f64 (/.f64 A (*.f64 V l)) (/.f64 V (/.f64 A l)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 V (/.f64 A l))))
(.f64 A (/.f64 #s(literal 1 binary64) (.f64 V l)))
(.f64 (/.f64 A (.f64 V l)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (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)) (/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 A) (.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 (/.f64 #s(literal -1 binary64) l) V))
(.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)) (exp.f64 (log.f64 A)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 V l)) (*.f64 (sqrt.f64 A) (sqrt.f64 A)))
(*.f64 (/.f64 A V) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 A V) (/.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 A (.f64 V (-.f64 #s(literal 0 binary64) l))))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) A)))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) A))
(.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)) (pow.f64 (/.f64 V (/.f64 A l)) #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)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (/.f64 #s(literal -1 binary64) l))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) (/.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (.f64 (neg.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 A V))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (/.f64 A V) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 A l))
(*.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 (/.f64 A l) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(.f64 (/.f64 A (.f64 V (-.f64 #s(literal 0 binary64) l))) #s(literal -1 binary64))
(*.f64 (/.f64 A l) (/.f64 #s(literal 1 binary64) V))
(*.f64 (/.f64 A l) (/.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l) (/.f64 #s(literal -1 binary64) V))
(*.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 (-.f64 #s(literal 0 binary64) A) l))
(.f64 (/.f64 #s(literal -1 binary64) V) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) V) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))))
(.f64 (exp.f64 (log.f64 A)) (/.f64 #s(literal 1 binary64) (.f64 V l)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) A))) (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V))))
(*.f64 (exp.f64 (log.f64 (/.f64 A V))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 l))))
(.f64 (/.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) A)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) (/.f64 A V))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) #s(literal 1 binary64)) (/.f64 A l))
(.f64 (.f64 (sqrt.f64 A) (sqrt.f64 A)) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (/.f64 (/.f64 #s(literal -1 binary64) l) V))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 A)) (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (.f64 (neg.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 A V)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) l) A) (/.f64 #s(literal -1 binary64) V))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) l) #s(literal -1 binary64)) (/.f64 A V))
(.f64 (.f64 A (pow.f64 (.f64 V l) #s(literal -1/2 binary64))) (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (pow.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 A))) (neg.f64 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l)))))) (.f64 V (.f64 l (*.f64 V l))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 0 binary64) (.f64 V (.f64 l (.f64 V l))))) (*.f64 V l))
(+.f64 (*.f64 V l) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 V l))
(exp.f64 (log.f64 (*.f64 V l)))
(exp.f64 (.f64 (log.f64 (.f64 V l)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 V l))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 V (-.f64 #s(literal 0 binary64) l)))
(fma.f64 V l #s(literal 0 binary64))
(fma.f64 l 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 #s(literal -1 binary64) (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) V) (*.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) l) #s(literal 0 binary64))
(neg.f64 (*.f64 V (-.f64 #s(literal 0 binary64) 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 (sqrt.f64 (.f64 V l)) (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))
(/.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 V l)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) l) V))
(/.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))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l))))) (-.f64 #s(literal 0 binary64) (.f64 V (.f64 l (.f64 V l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l))))) (.f64 #s(literal -1 binary64) (.f64 V (.f64 l (*.f64 V l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 V (.f64 l (.f64 V l)))) (.f64 V (-.f64 #s(literal 0 binary64) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l)))))) (.f64 V (.f64 l (.f64 V l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 V (.f64 l (.f64 V l))))) (.f64 V l))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l))))) (.f64 V (.f64 l (.f64 V l))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) #s(literal 3 binary64))) (.f64 V (.f64 l (.f64 V l))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 V l) (.f64 V (.f64 l (.f64 V l)))))) (.f64 V (.f64 l (*.f64 V l))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 V (.f64 l (.f64 V l))))) (*.f64 V 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 V (-.f64 #s(literal 0 binary64) l)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 V l))
(.f64 #s(literal -1 binary64) (.f64 V (-.f64 #s(literal 0 binary64) l)))
(*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) V))
(.f64 (-.f64 #s(literal 0 binary64) l) (.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) V) (-.f64 #s(literal 0 binary64) l))
(.f64 (-.f64 #s(literal 0 binary64) V) (.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) V))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) V)) (-.f64 #s(literal 0 binary64) l))

simplify62.0ms (0.6%)

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	83	868
3	181	868
4	439	868
5	686	868
6	1236	868
7	1493	868
8	1561	868
9	1569	868
0	1569	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)

eval62.0ms (0.6%)

Compiler: Compiled 7846 to 1466 computations (81.3% saved)

prune112.0ms (1.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	574	24	598
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	574	25	599

Accuracy

99.9%

Counts

599 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
	61.9%	(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
	23.8%	(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
	20.7%	(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
▶	40.4%	(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l))))
	41.3%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
▶	76.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
	76.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
	61.8%	(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
	61.9%	(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
	61.9%	(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
▶	20.1%	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
	40.0%	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
	40.7%	(.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))
	64.0%	(*.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l)))
	41.9%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	64.1%	(.f64 c0 (.f64 (pow.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal -1/2 binary64))))
	64.0%	(.f64 c0 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l))))
	69.2%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) V) (/.f64 #s(literal -1 binary64) A))))
	75.5%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
▶	74.4%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	74.8%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) V) (/.f64 l A))))
	74.7%	(.f64 c0 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) V) (.f64 (/.f64 #s(literal 1 binary64) A) (-.f64 #s(literal 0 binary64) l)))))
▶	26.3%	(.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (.f64 A A)))))
✓	70.0%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 742 to 520 computations (29.9% saved)

simplify145.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) A)
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
✓	cost-diff	0	(*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
✓	cost-diff	0	(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) l))))
✓	cost-diff	0	(sqrt.f64 (/.f64 l A))
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 (/.f64 l A)))
✓	cost-diff	0	(pow.f64 V #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A)))
✓	cost-diff	768	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (*.f64 A A)))
✓	cost-diff	768	(sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (*.f64 A A))))
✓	cost-diff	768	(.f64 c0 (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (.f64 A A)))))
✓	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)))
✓	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))))

Rules

2624×	`-lowering-.f32`
2624×	`-lowering-.f64`
1698×	`/-lowering-/.f32`
1698×	`/-lowering-/.f64`
770×	`distribute-frac-neg2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
1	70	168
2	174	168
3	781	168
4	3339	168
5	6740	168
0	8031	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize131.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
✓	accuracy	100.0%	(*.f64 V (-.f64 #s(literal 0 binary64) l))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 0 binary64) A))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 V (-.f64 #s(literal 0 binary64) l)))
✓	accuracy	100.0%	(/.f64 l A)
✓	accuracy	100.0%	(/.f64 c0 (sqrt.f64 (/.f64 l A)))
✓	accuracy	100.0%	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 l A))
✓	accuracy	100.0%	(*.f64 V (-.f64 #s(literal 0 binary64) l))
✓	accuracy	100.0%	(.f64 A (.f64 A A))
✓	accuracy	100.0%	(*.f64 A A)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A))) (.f64 (.f64 V (-.f64 #s(literal 0 binary64) l)) (*.f64 A A))))
✓	accuracy	100.0%	(/.f64 (/.f64 A V) l)
✓	accuracy	100.0%	(/.f64 A V)
✓	accuracy	100.0%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (/.f64 A V) l))
✓	accuracy	100.0%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	accuracy	100.0%	(/.f64 V (/.f64 A l))
✓	accuracy	100.0%	(/.f64 A l)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 V (/.f64 A l)))

Results

90.0ms

256×

invalid

Compiler

Compiled 225 to 34 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 17.0ms (34.9% of total)

ival-mult: 14.0ms (28.8% of total)

ival-sqrt: 10.0ms (20.5% of total)

ival-sub: 4.0ms (8.2% of total)

ival-pow: 2.0ms (4.1% of total)

const: 1.0ms (2.1% of total)

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

series43.0ms (0.4%)

Counts

25 → 732

Calls

Call 1

Inputs
#<alt (/ c0 (sqrt (/ V (/ A l))))>
#<alt (sqrt (/ V (/ A l)))>
#<alt (/ V (/ A l))>
#<alt (/ A l)>
#<alt (* c0 (sqrt (/ (/ A V) l)))>
#<alt (sqrt (/ (/ A V) l))>
#<alt (/ (/ A V) l)>
#<alt (/ A V)>
#<alt (* c0 (sqrt (/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A)))))>
#<alt (sqrt (/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A))))>
#<alt (/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A)))>
#<alt (- 0 (* A (* A A)))>
#<alt (* (pow V -1/2) (/ c0 (sqrt (/ l A))))>
#<alt (pow V -1/2)>
#<alt (/ c0 (sqrt (/ l A)))>
#<alt (sqrt (/ l A))>
#<alt (/ (* c0 (sqrt (- 0 A))) (sqrt (* V (- 0 l))))>
#<alt (* c0 (sqrt (- 0 A)))>
#<alt (sqrt (- 0 A))>
#<alt (- 0 A)>
#<alt (* A A)>
#<alt (* A (* A A))>
#<alt (* V (- 0 l))>
#<alt (/ l A)>
#<alt (sqrt (* V (- 0 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)>
#<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 (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 (* -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 (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* -1 (pow A 3))>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<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))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (sqrt (/ A (* V l))) c0)>
#<alt (* (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 (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (sqrt (/ 1 V))>
#<alt (* (sqrt (/ 1 V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 V)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* (sqrt (/ A l)) c0)>
#<alt (* -1 (* (sqrt (/ A l)) c0))>
#<alt (* -1 (* (sqrt (/ A l)) c0))>
#<alt (* -1 (* (sqrt (/ A l)) c0))>
#<alt (* -1 (* (sqrt (/ A l)) c0))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (sqrt (/ l A))>
#<alt (* (sqrt (/ l A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ l A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ l A)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ l A)) (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 (* -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 (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) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* (sqrt A) (* c0 (sqrt -1)))>
#<alt (* -1 (* (sqrt A) (* c0 (sqrt -1))))>
#<alt (* -1 (* (sqrt A) (* c0 (sqrt -1))))>
#<alt (* -1 (* (sqrt A) (* c0 (sqrt -1))))>
#<alt (* -1 (* (sqrt A) (* c0 (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 (* (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)))>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (* -1 A)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 2)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<alt (pow A 3)>
#<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 (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<alt (/ l A)>
#<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)))>

Calls

183 calls:

Time	Variable		Point	Expression
10.0ms	l	@	inf	(/ c0 (sqrt (/ l A)))
3.0ms	A	@	-inf	(/ A V)
1.0ms	c0	@	0	(* c0 (sqrt (- 0 A)))
1.0ms	V	@	-inf	(/ c0 (sqrt (/ V (/ A l))))
1.0ms	c0	@	inf	(* c0 (sqrt (- 0 A)))

rewrite312.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3912×	`-lowering-.f32`
3912×	`-lowering-.f64`
3682×	`/-lowering-/.f32`
3682×	`/-lowering-/.f64`
1574×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	124
1	182	124
2	1376	123
0	8792	123

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1968

Calls

Call 1

Inputs
(/ c0 (sqrt (/ V (/ A l))))
(sqrt (/ V (/ A l)))
(/ V (/ A l))
(/ A l)
(* c0 (sqrt (/ (/ A V) l)))
(sqrt (/ (/ A V) l))
(/ (/ A V) l)
(/ A V)
(* c0 (sqrt (/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A)))))
(sqrt (/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A))))
(/ (- 0 (* A (* A A))) (* (* V (- 0 l)) (* A A)))
(- 0 (* A (* A A)))
(* (pow V -1/2) (/ c0 (sqrt (/ l A))))
(pow V -1/2)
(/ c0 (sqrt (/ l A)))
(sqrt (/ l A))
(/ (* c0 (sqrt (- 0 A))) (sqrt (* V (- 0 l))))
(* c0 (sqrt (- 0 A)))
(sqrt (- 0 A))
(- 0 A)
(* A A)
(* A (* A A))
(* V (- 0 l))
(/ l A)
(sqrt (* V (- 0 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) (neg.f64 (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))) (neg.f64 (.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)))))
(neg.f64 (neg.f64 (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 c0 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))) (pow.f64 V #s(literal -1/2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)))
(neg.f64 (/.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) c0)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) c0))
(/.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 #s(literal 0 binary64) (.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)))))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))))
(/.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 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (.f64 c0 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (.f64 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) c0)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (/.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 (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) c0) (pow.f64 V #s(literal -1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))) c0))
(/.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) c0)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
(/.f64 (.f64 c0 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64)))) (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))))
(/.f64 (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) c0) (sqrt.f64 l))
(/.f64 (.f64 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) c0) (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (neg.f64 (pow.f64 V #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)) c0)))
(/.f64 (neg.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 c0 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 A V) #s(literal 1/2 binary64)) c0)) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 A (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) c0)) (-.f64 #s(literal 0 binary64) (.f64 A (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))))
(/.f64 (neg.f64 (/.f64 (*.f64 c0 (pow.f64 (-.f64 #s(literal 0 binary64) A) #s(literal 1/2 binary64))) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) c0))) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) #s(literal -1 binary64))
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(.f64 (/.f64 (.f64 A A) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (-.f64 #s(literal 0 binary64) (/.f64 l A)))
(.f64 (/.f64 (.f64 A A) (-.f64 #s(literal 0 binary64) (.f64 (.f64 A (.f64 A A)) (.f64 A (.f64 A A))))) (/.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal 1 binary64) (.f64 A (*.f64 A A)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) A) (/.f64 #s(literal -1 binary64) A))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) (*.f64 A A)) (/.f64 A (-.f64 #s(literal 0 binary64) A)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) (-.f64 #s(literal 0 binary64) A)) (/.f64 #s(literal 1 binary64) A))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) (.f64 (.f64 A (.f64 A A)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 A (.f64 A A)) (.f64 A (.f64 A A)))))) (/.f64 A (/.f64 #s(literal 1 binary64) (.f64 (.f64 A (.f64 A A)) (.f64 A (*.f64 A A))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) (-.f64 #s(literal 0 binary64) (*.f64 A A))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) (-.f64 #s(literal 0 binary64) (.f64 (.f64 A (.f64 A A)) (.f64 A (.f64 A A))))) (/.f64 A (/.f64 #s(literal 1 binary64) (.f64 A (*.f64 A A)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) l) A) #s(literal -1 binary64)) (/.f64 A (.f64 A (.f64 A A))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l (.f64 l l))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) A))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) l) A))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l (.f64 l l))) (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l (.f64 l l))) (-.f64 #s(literal 0 binary64) (.f64 A A))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (/.f64 #s(literal 1 binary64) A)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (-.f64 #s(literal 0 binary64) (.f64 A (.f64 A A)))) (/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 A A))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) (-.f64 #s(literal 0 binary64) (*.f64 A A))) (/.f64 A l))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) (.f64 l (*.f64 l l))))) l)
(/.f64 (sqrt.f64 (.f64 V (-.f64 #s(literal 0 binary64) (.f64 l l)))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 l (*.f64 l l))) V)) l)
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 l l)) V)) (sqrt.f64 l))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) (-.f64 #s(literal 0 binary64) (*.f64 V l))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))))
(*.f64 (sqrt.f64 V) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(*.f64 (sqrt.f64 V) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (sqrt.f64 V))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))

simplify254.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`fnmadd-define`
1276×	`fma-define`
1242×	`fma-lowering-fma.f32`
1242×	`fma-lowering-fma.f64`
1042×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	4508
1	116	4400
2	299	4396
3	479	4396
4	846	4396
5	1599	4396
6	3175	4396
7	3995	4396
8	4520	4396
9	4714	4396
10	4898	4396
11	5239	4396
12	5333	4396
13	5333	4396
14	5333	4396
15	5386	4396
0	5386	4396

Stop Event

1×	iter limit
1×	saturated

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)
(/ 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)
(* (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)
(/ 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)
(* (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))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* -1 (pow A 3))
(* (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))) 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)
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(* (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 (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(sqrt (/ 1 V))
(* (sqrt (/ 1 V)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 V)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 V)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 V)) (pow (sqrt -1) 2))
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
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(* (sqrt (/ A l)) c0)
(* (sqrt (/ A l)) c0)
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(* -1 (* (sqrt (/ A l)) c0))
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(* -1 (* (sqrt (/ A l)) c0))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(sqrt (/ l A))
(* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt (/ l A)) (pow (sqrt -1) 2)))
(sqrt (/ l A))
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(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(* -1 A)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 2)
(pow A 3)
(pow A 3)
(pow A 3)
(pow A 3)
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(pow A 3)
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(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(* -1 (* V l))
(/ 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)
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(* (sqrt (* V l)) (sqrt -1))
(* (sqrt (* V l)) (sqrt -1))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
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(* -1 (* (sqrt (* V l)) (sqrt -1)))
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Outputs
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (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 (/ 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 (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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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))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(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))
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(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
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(* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2))
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(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
(sqrt (/ (* V l) A))
(sqrt.f64 (/.f64 (*.f64 V l) A))
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(sqrt.f64 (/.f64 (*.f64 V l) A))
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(* -1 (* (sqrt (/ (* V l) A)) (pow (sqrt -1) 2)))
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
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(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ (* V l) A)
(/.f64 (*.f64 V l) A)
(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(/ A l)
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(* (sqrt (/ A (* V l))) c0)
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(* (sqrt (/ A (* V l))) c0)
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(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
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(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* (sqrt A) (* c0 (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c0 (sqrt.f64 A)))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 A) (-.f64 #s(literal 0 binary64) c0)))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 A) (-.f64 #s(literal 0 binary64) c0)))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 A) (-.f64 #s(literal 0 binary64) c0)))
(* -1 (* (sqrt A) (* c0 (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 A) (-.f64 #s(literal 0 binary64) c0)))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* (sqrt A) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A))
(* -1 (* (sqrt A) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 (* (sqrt A) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 (* (sqrt A) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 (* (sqrt A) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 A)))
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(* -1 A)
(-.f64 #s(literal 0 binary64) A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 2)
(*.f64 A A)
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(pow A 3)
(.f64 A (.f64 A A))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(* -1 (* V l))
(-.f64 #s(literal 0 binary64) (*.f64 V l))
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(/ l A)
(/.f64 l A)
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* (sqrt (* V l)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 V l)))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* V l)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 V l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))

eval317.0ms (3.2%)

Compiler: Compiled 47998 to 5034 computations (89.5% saved)

prune263.0ms (2.6%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	2788	11	2799
Fresh	7	12	19
Picked	2	3	5
Done	0	1	1
Total	2797	27	2824

Accuracy

99.9%

Counts

2824 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
	61.9%	(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
	23.8%	(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
	20.7%	(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
	40.4%	(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l))))
	41.3%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	70.0%	(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
▶	64.0%	(/.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64))))
	64.1%	(/.f64 c0 (/.f64 (sqrt.f64 l) (pow.f64 (/.f64 A V) #s(literal 1/2 binary64))))
	64.2%	(/.f64 c0 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A)))))
	70.4%	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓	76.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
▶	51.0%	(/.f64 c0 (sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l))))
	74.0%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
▶	76.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
	69.5%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))) c0))
	61.9%	(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0))
✓	20.1%	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
	40.0%	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
▶	75.5%	(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
	40.7%	(.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))
▶	64.0%	(*.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l)))
	41.9%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	64.0%	(.f64 c0 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l))))
✓	74.4%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.0%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	49.9%	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (/.f64 A V) (*.f64 l l)) l)))

Compiler

Compiled 728 to 510 computations (29.9% saved)

simplify287.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 V A)
✓	cost-diff	64	(pow.f64 (/.f64 V A) #s(literal 1/2 binary64))
✓	cost-diff	64	(/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
✓	cost-diff	64	(/.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64))))
✓	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)) (sqrt.f64 l))
✓	cost-diff	0	(*.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l)))
✓	cost-diff	256	(.f64 (/.f64 A (.f64 l l)) l)
✓	cost-diff	256	(/.f64 V (.f64 (/.f64 A (.f64 l l)) l))
✓	cost-diff	256	(sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l)))
✓	cost-diff	256	(/.f64 c0 (sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l))))
✓	cost-diff	0	(/.f64 A l)
✓	cost-diff	0	(/.f64 (/.f64 A l) V)
✓	cost-diff	0	(sqrt.f64 (/.f64 (/.f64 A l) V))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓	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))

Rules

5772×	`-lowering-.f32`
5772×	`-lowering-.f64`
3052×	`cube-prod`
2580×	`/-lowering-/.f32`
2580×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	164
1	51	162
2	84	162
3	125	162
4	230	162
5	589	162
6	1762	162
7	2497	162
8	2772	162
9	2881	162
10	3079	162
11	3394	162
12	4479	162
13	4995	162
14	5638	162
15	6640	162
16	6998	162
17	7232	162
18	7376	162
19	7513	162
20	7658	162
0	8206	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize139.0ms (1.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 V A)
✓	accuracy	99.6%	(/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
✓	accuracy	99.0%	(/.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64))))
✓	accuracy	83.7%	(pow.f64 (/.f64 V A) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 l)
✓	accuracy	99.5%	(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l))
✓	accuracy	99.1%	(*.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l)))
✓	accuracy	83.8%	(pow.f64 (/.f64 V A) #s(literal -1/2 binary64))
✓	accuracy	95.6%	(/.f64 V (.f64 (/.f64 A (.f64 l l)) l))
✓	accuracy	91.5%	(/.f64 A (*.f64 l l))
✓	accuracy	81.9%	(.f64 (/.f64 A (.f64 l l)) l)
✓	accuracy	76.5%	(sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l)))
✓	accuracy	100.0%	(/.f64 A l)
✓	accuracy	99.1%	(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
✓	accuracy	95.2%	(/.f64 (/.f64 A l) V)
✓	accuracy	75.8%	(sqrt.f64 (/.f64 (/.f64 A l) V))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
✓	accuracy	98.9%	(/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)
✓	accuracy	95.6%	(/.f64 V (/.f64 A l))
✓	accuracy	76.5%	(sqrt.f64 (/.f64 V (/.f64 A l)))

Results

82.0ms	194×	0	valid
19.0ms	62×	0	invalid

Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 21.0ms (37.7% of total)

ival-pow: 17.0ms (30.5% of total)

ival-sqrt: 9.0ms (16.2% of total)

ival-mult: 8.0ms (14.4% of total)

const: 1.0ms (1.8% of total)

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

series32.0ms (0.3%)

Counts

21 → 732

Calls

Call 1

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

183 calls:

Time	Variable		Point	Expression
6.0ms	A	@	inf	(/ A (* l l))
2.0ms	A	@	-inf	(/ (pow (/ V A) 1/2) (pow l -1/2))
1.0ms	V	@	-inf	(/ (sqrt (/ V (/ A l))) c0)
1.0ms	A	@	-inf	(pow (/ V A) -1/2)
1.0ms	l	@	-inf	(/ (pow (/ V A) -1/2) (sqrt l))

rewrite380.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3670×	`-lowering-.f32`
3670×	`-lowering-.f64`
3014×	`/-lowering-/.f32`
3014×	`/-lowering-/.f64`
2016×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	123
1	156	118
2	922	117
3	6960	117
0	8875	117

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2590

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))))
(-.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 -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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 l)))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) (-.f64 #s(literal 0 binary64) c0)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(/.f64 (pow.f64 (/.f64 A l) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 V) 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))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.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 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) (*.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 A l) #s(literal -1/2 binary64))) (sqrt.f64 V))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) c0) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (pow.f64 l #s(literal -1/2 binary64))))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (/.f64 A l) #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 c0 (/.f64 #s(literal -1 binary64) (sqrt.f64 l))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(/.f64 (.f64 c0 (/.f64 #s(literal -1 binary64) (sqrt.f64 l))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A l) #s(literal 1/2 binary64))) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) c0)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l))) c0) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 A) c0) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 V (/.f64 A l)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) l) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 V) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sqrt.f64 V) (pow.f64 (.f64 A l) #s(literal 1/2 binary64))) l)
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) l) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 V A))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 V (.f64 (/.f64 A V) A))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64)) (.f64 (log.f64 (/.f64 V A)) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V A)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(sqrt.f64 (/.f64 V A))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 V) (sqrt.f64 A))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (neg.f64 (sqrt.f64 A)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A V))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 A V) #s(literal 1/4 binary64))) (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal -1/2 binary64))) (sqrt.f64 A))
(pow.f64 (/.f64 V A) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 A V) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 A V) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 V (*.f64 (/.f64 A V) A)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 V A)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 V) (pow.f64 A #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 V) (.f64 (pow.f64 A #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)))))
(.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 A #s(literal -1/2 binary64)) (sqrt.f64 V))
(.f64 (pow.f64 V #s(literal 1/4 binary64)) (.f64 (pow.f64 A #s(literal -1/4 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) A) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) A)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))))
(.f64 (pow.f64 (/.f64 A V) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 A V) #s(literal -1/8 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 V #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 A #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 A #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 A V) #s(literal -1/4 binary64)) (pow.f64 (/.f64 A V) #s(literal -1/8 binary64))) (pow.f64 (/.f64 A V) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 l (/.f64 A l))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 A l) l)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 A l) l)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 l (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 A l) l)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 A l) l)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 A l)))
(/.f64 A (*.f64 l l))
(/.f64 (/.f64 A l) l)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 A l) l)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l A) (-.f64 #s(literal 0 binary64) l)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l (-.f64 #s(literal 0 binary64) A)) l))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (-.f64 #s(literal 0 binary64) l))
(/.f64 (-.f64 #s(literal 0 binary64) A) (*.f64 l (-.f64 #s(literal 0 binary64) l)))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 l A))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (/.f64 #s(literal 1 binary64) A))
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l (-.f64 #s(literal 0 binary64) A)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) A) #s(literal -1 binary64)) (.f64 l l))
(pow.f64 (/.f64 l (/.f64 A l)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 A l) l))
(*.f64 A (/.f64 (/.f64 #s(literal 1 binary64) l) l))
(*.f64 (/.f64 A l) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (/.f64 A l) l) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 A l) l)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 (/.f64 #s(literal -1 binary64) l) l))
(.f64 (-.f64 #s(literal 0 binary64) A) (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 A l))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) A)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (pow.f64 (/.f64 #s(literal 1 binary64) A) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) l))
(*.f64 (/.f64 #s(literal -1 binary64) l) (-.f64 #s(literal 0 binary64) (/.f64 A l)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) l) l) (-.f64 #s(literal 0 binary64) A))
(*.f64 (/.f64 A #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) l) l))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 l)))
(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)))
(-.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 #s(literal 1 binary64) (/.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 l #s(literal 1/4 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 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal -1/4 binary64)))
(/.f64 (pow.f64 l #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 l #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 l #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal -1/4 binary64))))
(/.f64 (/.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal -1/8 binary64))) (pow.f64 l #s(literal -1/8 binary64)))
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 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 (pow.f64 l #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.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 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (/.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

simplify263.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1890×	`fma-define`
1836×	`fnmadd-define`
1084×	`fma-lowering-fma.f32`
1084×	`fma-lowering-fma.f64`
1064×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	4748
1	96	4544
2	245	4544
3	568	4544
4	1613	4544
5	3449	4544
6	5063	4544
7	7018	4544
8	7153	4544
9	7185	4544
10	7201	4544
11	7279	4544
12	7339	4544
13	7341	4544
14	7341	4544
0	7341	4544

Stop Event

1×	iter limit
1×	saturated

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

eval396.0ms (4%)

Compiler: Compiled 47085 to 4782 computations (89.8% saved)

prune307.0ms (3.1%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	3450	10	3460
Fresh	7	11	18
Picked	3	2	5
Done	0	4	4
Total	3460	27	3487

Accuracy

99.9%

Counts

3487 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
	62.9%	(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)) c0))
	46.4%	(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)))
	61.9%	(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
	62.0%	(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 A V) #s(literal -1/2 binary64)))
	23.8%	(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 A)) (sqrt.f64 V))
▶	16.5%	(/.f64 (.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (.f64 A l) #s(literal 1/2 binary64))) l)
	40.4%	(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l))))
	41.3%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	70.0%	(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
	50.6%	(/.f64 c0 (.f64 (sqrt.f64 (/.f64 V (.f64 A l))) l))
	70.4%	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓	76.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	51.0%	(/.f64 c0 (sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l))))
▶	74.0%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
	50.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 V (.f64 A l))) l) c0))
	70.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0))
▶	76.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
✓	20.1%	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
	64.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))) c0)
▶	40.0%	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
✓	75.5%	(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
	40.7%	(.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))
	64.2%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	41.9%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
✓	74.4%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.0%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 694 to 486 computations (30% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 c0 (sqrt.f64 V))
✓	cost-diff	64	(pow.f64 (*.f64 A l) #s(literal 1/2 binary64))
✓	cost-diff	64	(.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (.f64 A l) #s(literal 1/2 binary64)))
✓	cost-diff	64	(/.f64 (.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (.f64 A l) #s(literal 1/2 binary64))) l)
✓	cost-diff	0	(*.f64 V l)
✓	cost-diff	0	(pow.f64 (*.f64 V l) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
✓	cost-diff	0	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) c0)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
✓	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)))
✓	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	128	(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))

Rules

364×	`-lowering-.f32`
364×	`-lowering-.f64`
306×	`times-frac`
222×	`/-lowering-/.f32`
222×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	167
1	56	165
2	89	165
3	171	165
4	283	165
5	458	165
6	587	165
7	647	165
8	661	165
9	688	165
10	712	165
11	720	165
12	725	165
13	727	165
0	727	165

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize133.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 c0 (sqrt.f64 V))
✓	accuracy	98.4%	(.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (.f64 A l) #s(literal 1/2 binary64)))
✓	accuracy	97.0%	(/.f64 (.f64 (/.f64 c0 (sqrt.f64 V)) (pow.f64 (.f64 A l) #s(literal 1/2 binary64))) l)
✓	accuracy	93.2%	(pow.f64 (*.f64 A l) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 A)
✓	accuracy	99.9%	(.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))
✓	accuracy	98.1%	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
✓	accuracy	93.4%	(pow.f64 (*.f64 V l) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	accuracy	98.7%	(/.f64 V (/.f64 A l))
✓	accuracy	92.1%	(sqrt.f64 (/.f64 V (/.f64 A l)))
✓	accuracy	100.0%	(/.f64 V A)
✓	accuracy	99.5%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓	accuracy	97.8%	(*.f64 (/.f64 V A) l)
✓	accuracy	92.1%	(sqrt.f64 (*.f64 (/.f64 V A) l))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c0)
✓	accuracy	99.6%	(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
✓	accuracy	98.7%	(/.f64 V (/.f64 A l))
✓	accuracy	92.1%	(pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64))

Results

65.0ms	189×	0	invalid
26.0ms	67×	0	valid

Compiler

Compiled 183 to 31 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 16.0ms (32.8% of total)

ival-pow: 13.0ms (26.7% of total)

ival-mult: 12.0ms (24.6% of total)

ival-sqrt: 7.0ms (14.4% of total)

const: 1.0ms (2.1% of total)

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

series32.0ms (0.3%)

Counts

21 → 720

Calls

Call 1

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

Calls

180 calls:

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

rewrite287.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
2790×	`/-lowering-/.f32`
2790×	`/-lowering-/.f64`
1856×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	131
1	150	121
2	773	119
3	6364	119
0	8077	119

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1516

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0))))
(exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 V (/.f64 A l)))) (.f64 #s(literal -1 binary64) (log.f64 c0))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) c0)) (/.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))))
(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal 1 binary64))
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) c0) (sqrt.f64 (/.f64 l A))))
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)))))
(/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 l A))) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (/.f64 c0 (sqrt.f64 (/.f64 l A))) (sqrt.f64 V))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) c0))
(/.f64 (/.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 c0 (sqrt.f64 A)) (pow.f64 (.f64 V l) #s(literal 1/2 binary64)))
(/.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (sqrt.f64 l))
(/.f64 (.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 A)) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (sqrt.f64 l)))
(/.f64 (*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) c0) (sqrt.f64 l))
(/.f64 (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) c0) (.f64 (sqrt.f64 l) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 A)) (.f64 (/.f64 (sqrt.f64 V) c0) (sqrt.f64 l)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (.f64 (/.f64 (sqrt.f64 V) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 A)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) c0) (sqrt.f64 l)))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (.f64 (sqrt.f64 V) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 l) c0))
(/.f64 (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 l) (/.f64 #s(literal -1 binary64) c0)))
(/.f64 (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) c0)) (.f64 (sqrt.f64 l) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) c0) (sqrt.f64 l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) (pow.f64 c0 #s(literal -1/2 binary64))) (pow.f64 c0 #s(literal -1/2 binary64)))
(/.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)))
(/.f64 (/.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (.f64 (.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0))) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) c0)
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) c0))
(.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A)))
(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
(.f64 (sqrt.f64 A) (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 A l)))
(.f64 (/.f64 c0 (sqrt.f64 V)) (.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) (/.f64 (sqrt.f64 (/.f64 A l)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
(.f64 (pow.f64 V #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 c0 (sqrt.f64 A))))
(.f64 (pow.f64 V #s(literal -1/2 binary64)) (.f64 (*.f64 c0 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 A)))
(.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))))
(.f64 (pow.f64 l #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) c0))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
(*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 c0 (sqrt.f64 V)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) c0))
(.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) c0)))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 V l) #s(literal -1/4 binary64)) (*.f64 c0 (sqrt.f64 A))))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/4 binary64)) (.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64))) (sqrt.f64 A)))
(.f64 (pow.f64 (.f64 V l) #s(literal -1/4 binary64)) (.f64 (.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64))) c0))
(.f64 (pow.f64 V #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 A l) #s(literal 1/4 binary64)) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 l #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/4 binary64)) (.f64 (pow.f64 l #s(literal -1/4 binary64)) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 A #s(literal 1/4 binary64)) (.f64 (pow.f64 A #s(literal 1/4 binary64)) (.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 l) c0) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 l)))
(.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (/.f64 c0 (sqrt.f64 (/.f64 l A))) (pow.f64 V #s(literal -1/2 binary64)))
(.f64 (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 (/.f64 l A))))
(.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/8 binary64)) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)) c0) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) c0)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))) (.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) c0)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 A l))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) #s(literal -1/2 binary64)))
(.f64 (.f64 c0 (pow.f64 (.f64 V l) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) #s(literal -1/4 binary64))))
(.f64 (.f64 c0 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64))) (pow.f64 l #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 A) (pow.f64 (.f64 V l) #s(literal -1/4 binary64))) (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) c0) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 l) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/2 binary64)) (pow.f64 c0 #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c0 #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) c0)))
(.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) c0)))
(.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) c0)))
(.f64 (/.f64 (pow.f64 (/.f64 A (.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)) (pow.f64 c0 #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (/.f64 c0 (-.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (sqrt.f64 l)))
(*.f64 (/.f64 c0 (sqrt.f64 l)) (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/4 binary64))))
(.f64 (/.f64 c0 (pow.f64 (/.f64 A (.f64 V l)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 A (*.f64 V l)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
(*.f64 (/.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 #s(literal -1 binary64) c0)))
(*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0)))
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(.f64 (.f64 (/.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 V) c0)) (pow.f64 (.f64 A l) #s(literal 1/8 binary64))) (pow.f64 (*.f64 A l) #s(literal 1/8 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 A l)) #s(literal 1 binary64)) (/.f64 c0 (sqrt.f64 V)))
(.f64 (/.f64 (sqrt.f64 (.f64 A l)) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) c0))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 A l))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 A (.f64 l (.f64 A l)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 A l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 A l)) #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 A l)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 A l))
(pow.f64 (*.f64 A l) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 A (.f64 l (*.f64 A l))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 A l)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 A l)))
(*.f64 (sqrt.f64 A) (sqrt.f64 l))
(.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 A l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 l) (sqrt.f64 A))
(.f64 (sqrt.f64 l) (.f64 (sqrt.f64 A) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 A #s(literal 1/4 binary64)) (.f64 (pow.f64 A #s(literal 1/4 binary64)) (sqrt.f64 l)))
(.f64 (pow.f64 A #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 (*.f64 A l) #s(literal 1/4 binary64))))
(.f64 (pow.f64 l #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal 1/4 binary64)) (sqrt.f64 A)))
(.f64 (pow.f64 l #s(literal 1/4 binary64)) (.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 (*.f64 A l) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 A l) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 A l) #s(literal 1/8 binary64)) (pow.f64 (*.f64 A l) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 A))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 A)) (sqrt.f64 l))
(.f64 (pow.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 A l) #s(literal 1/4 binary64))) (pow.f64 (.f64 A l) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 A) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 l) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) (pow.f64 A #s(literal 1/4 binary64))) (pow.f64 l #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 A l) #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64))) (pow.f64 A #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 A l) #s(literal 1/4 binary64)) (pow.f64 (.f64 A l) #s(literal 1/8 binary64))) (pow.f64 (*.f64 A l) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 V) c0)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))) (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 V) c0))
(/.f64 c0 (sqrt.f64 V))
(/.f64 c0 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) #s(literal -1 binary64)))
(/.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) c0))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c0) (sqrt.f64 V)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(/.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (-.f64 #s(literal 0 binary64) (sqrt.f64 V)))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 V))))
(/.f64 (-.f64 #s(literal 0 binary64) c0) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 V)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))) #s(literal -1 binary64))
(/.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (pow.f64 V #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 V #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) c0))
(/.f64 (*.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c0))
(pow.f64 (/.f64 (sqrt.f64 V) c0) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c0 (sqrt.f64 V)))
(*.f64 c0 (pow.f64 V #s(literal -1/2 binary64)))
(*.f64 (/.f64 c0 (sqrt.f64 V)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c0 (sqrt.f64 V))))
(*.f64 (pow.f64 V #s(literal -1/2 binary64)) c0)
(*.f64 (-.f64 #s(literal 0 binary64) c0) (/.f64 #s(literal -1 binary64) (sqrt.f64 V)))
(.f64 (pow.f64 V #s(literal -1/4 binary64)) (.f64 (pow.f64 V #s(literal -1/4 binary64)) c0))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 V)) (-.f64 #s(literal 0 binary64) c0))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c0) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 V #s(literal 1/4 binary64))) (/.f64 c0 (pow.f64 V #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 V) c0) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 V) c0) #s(literal -1/2 binary64)))
(.f64 (.f64 c0 (pow.f64 V #s(literal -1/4 binary64))) (pow.f64 V #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 V #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) c0))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 A)))
(sqrt.f64 A)
(pow.f64 A #s(literal 1/2 binary64))
(pow.f64 (pow.f64 A #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 A A) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 A)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 A #s(literal 1/4 binary64)) (pow.f64 A #s(literal 1/4 binary64)))

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1812×	`fnmadd-define`
1750×	`fma-define`
1412×	`fma-lowering-fma.f32`
1412×	`fma-lowering-fma.f64`
1226×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	4892
1	115	4624
2	311	4608
3	665	4608
4	1766	4608
5	3784	4608
6	6213	4608
7	7602	4608
0	8001	4608

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

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

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

eval557.0ms (5.6%)

Compiler: Compiled 32227 to 3216 computations (90% saved)

prune221.0ms (2.2%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	2433	4	2437
Fresh	5	11	16
Picked	1	4	5
Done	0	6	6
Total	2439	25	2464

Accuracy

99.9%

Counts

2464 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (pow.f64 (/.f64 V (/.f64 A l)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c0))
	50.2%	(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 A l) V)) l) (/.f64 #s(literal 1 binary64) c0))
	61.9%	(/.f64 (/.f64 c0 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64))) (sqrt.f64 l))
	48.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 (*.f64 A l) V)))) l)
	48.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 A l) V)) c0) l)
	40.4%	(/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l))))
	41.3%	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	70.0%	(/.f64 c0 (pow.f64 (/.f64 A (*.f64 V l)) #s(literal -1/2 binary64)))
	50.6%	(/.f64 c0 (.f64 (sqrt.f64 (/.f64 V (.f64 A l))) l))
	70.4%	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓	76.9%	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
✓	51.0%	(/.f64 c0 (sqrt.f64 (/.f64 V (.f64 (/.f64 A (.f64 l l)) l))))
✓	74.0%	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
	70.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0))
✓	76.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))
✓	20.1%	(*.f64 (pow.f64 V #s(literal -1/2 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))
	49.2%	(.f64 (/.f64 c0 l) (sqrt.f64 (/.f64 (.f64 A l) V)))
	64.0%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 A l)))) c0)
✓	40.0%	(.f64 (.f64 c0 (pow.f64 (*.f64 V l) #s(literal -1/2 binary64))) (sqrt.f64 A))
✓	75.5%	(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)
	40.7%	(.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))
	64.2%	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	41.9%	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
✓	74.4%	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	70.0%	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 908 to 426 computations (53.1% saved)

regimes127.0ms (1.3%)

Counts

50 → 4

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

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

Calls

8 calls:

30.0ms	c0
13.0ms	A
13.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
13.0ms	V
13.0ms	l

Results

Accuracy	Segments	Branch
78.7%	2	`c0`
88.3%	2	`A`
88.0%	2	`V`
86.3%	2	`l`
84.1%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
85.6%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
85.6%	3	`(/.f64 A (*.f64 V l))`
94.2%	4	`(*.f64 V l)`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes20.0ms (0.2%)

Counts

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

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

Calls

1 calls:

15.0ms

(*.f64 V l)

Results

Accuracy	Segments	Branch
95.0%	5	`(*.f64 V l)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Counts

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

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

Calls

1 calls:

12.0ms

(*.f64 V l)

Results

Accuracy	Segments	Branch
94.8%	5	`(*.f64 V l)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.2%)

Counts

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

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

Calls

1 calls:

11.0ms

(*.f64 V l)

Results

Accuracy	Segments	Branch
94.7%	5	`(*.f64 V l)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes39.0ms (0.4%)

Counts

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

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

Calls

3 calls:

12.0ms	(*.f64 V l)
12.0ms	V
11.0ms	A

Results

Accuracy	Segments	Branch
83.0%	3	`V`
84.5%	2	`A`
88.8%	3	`(*.f64 V l)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes15.0ms (0.2%)

Counts

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

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

Calls

1 calls:

10.0ms

(*.f64 V l)

Results

Accuracy	Segments	Branch
88.7%	3	`(*.f64 V l)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Counts

29 → 4

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

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

Calls

1 calls:

8.0ms

(*.f64 V l)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes41.0ms (0.4%)

Counts

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

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

Calls

5 calls:

9.0ms	(/.f64 A (*.f64 V l))
8.0ms	(*.f64 V l)
7.0ms	l
7.0ms	A
7.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

Accuracy	Segments	Branch
82.2%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
82.2%	3	`(/.f64 A (*.f64 V l))`
79.1%	2	`A`
76.9%	1	`l`
85.4%	3	`(*.f64 V l)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes38.0ms (0.4%)

Counts

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

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

Calls

5 calls:

7.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
7.0ms	V
7.0ms	(*.f64 V l)
6.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
6.0ms	(/.f64 A (*.f64 V l))

Results

Accuracy	Segments	Branch
82.2%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
82.2%	3	`(/.f64 A (*.f64 V l))`
76.9%	1	`V`
81.3%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
76.9%	1	`(*.f64 V l)`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes10.0ms (0.1%)

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.0%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
80.8%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
80.8%	3	`(/.f64 A (*.f64 V l))`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes58.0ms (0.6%)

Counts

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

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

Calls

8 calls:

42.0ms	V
2.0ms	l
2.0ms	A
2.0ms	c0
2.0ms	(*.f64 V l)

Results

Accuracy	Segments	Branch
75.5%	1	`V`
75.5%	1	`l`
75.5%	1	`(*.f64 V l)`
75.5%	1	`c0`
75.5%	1	`A`
79.9%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.9%	3	`(/.f64 A (*.f64 V l))`
79.9%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes6.0ms (0.1%)

Counts

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

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

Calls

3 calls:

2.0ms	(.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
79.1%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.1%	3	`(/.f64 A (*.f64 V l))`
79.3%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes4.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.0ms	(/.f64 A (*.f64 V l))

Results

Accuracy	Segments	Branch
79.1%	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
79.1%	3	`(/.f64 A (*.f64 V l))`
79.1%	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes10.0ms (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:

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

Results

Accuracy	Segments	Branch
70.0%	1	`c0`
70.0%	1	`A`
70.0%	1	`V`
70.0%	1	`l`
70.0%	1	`(*.f64 V l)`
70.0%	1	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
70.0%	1	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
70.0%	1	`(/.f64 A (*.f64 V l))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	0.0	6.0861e-319
0.0ms	-6.521073724479331e-272	-1.816668260649545e-277

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	0.0	6.0861e-319
0.0ms	-6.521073724479331e-272	-1.816668260649545e-277
0.0ms	-inf	-3.800522697169496e+306

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	0.0	6.0861e-319
0.0ms	-6.521073724479331e-272	-1.816668260649545e-277
0.0ms	-inf	-3.800522697169496e+306

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	2.960454009903e-312	7.5416364940419e-310
0.0ms	-4.2594817680560647e-296	-3.642560456215598e-307
0.0ms	-inf	-3.800522697169496e+306

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	6.0861e-319	2.960454009903e-312

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	6.0861e-319	2.960454009903e-312

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	2.960454009903e-312	7.5416364940419e-310
0.0ms	-6.521073724479331e-272	-1.816668260649545e-277

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.194835188030467e+283	3.01125365784136e+288
0.0ms	2.960454009903e-312	7.5416364940419e-310

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.714169051776092e+291	1.077167790303917e+294
0.0ms	3.8e-322	4.00634241e-315

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.37737342437172e+189	2.5477242344673326e+192
0.0ms	2.004644275671915e-291	2.825222040217209e-283

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.146297309130527e+303	+inf
0.0ms	2.004644275671915e-291	2.825222040217209e-283

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5477242344673326e+192	4.094785622039423e+194
0.0ms	2.004644275671915e-291	2.825222040217209e-283

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.350058955989625e+293	3.7737028777867903e+295
0.0ms	0.0	2e-323

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`neg-mul-1_binary64`
6×	`sub0-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	669
1	159	669
2	175	669
3	184	669
4	187	669
5	188	669

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 l)) (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A))))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A))))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (.f64 c0 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -3681675540198023/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal 101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (<=.f64 (.f64 V l) #s(literal 101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal 1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))
(if (<=.f64 (.f64 V l) #s(literal 1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 c0 l) (sqrt.f64 (/.f64 (.f64 A l) V))) (if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 5617791046444737/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 10000000000000000725591715973187783610303424287811372824568343983972101724920689074452068181743241951740625976868675721161334753163637413771490365780039321792212624518252692320803210995433472 binary64)) (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))
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(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 5617791046444737/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 5000000000000000331137566598036511445407389453390846087787359307030935353460273357335189277235541978069813652595228101912165434051752871448770458498755506020260404406084020667075938662683246592 binary64)) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 0 binary64)) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
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(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (/.f64 c0 (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) V) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l A))))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
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(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (.f64 c0 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) l)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 0 binary64)) (.f64 c0 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) V)) (sqrt.f64 (/.f64 A (-.f64 #s(literal 0 binary64) l))))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 (pow.f64 l #s(literal -1/2 binary64)) c0)) (if (<=.f64 (.f64 V l) #s(literal -3681675540198023/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (neg.f64 (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal -inf.0 binary64)) (.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (.f64 c0 (pow.f64 l #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal -3681675540198023/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (/.f64 (.f64 c0 (sqrt.f64 (-.f64 #s(literal 0 binary64) A))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 V l)))) (if (<=.f64 (.f64 V l) #s(literal 1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))
(if (<=.f64 (.f64 V l) #s(literal 101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(if (<=.f64 (.f64 V l) #s(literal 101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 c0 (/.f64 (pow.f64 (/.f64 V A) #s(literal -1/2 binary64)) (sqrt.f64 l))) (if (<=.f64 (.f64 V l) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
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(if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 c0 l) (sqrt.f64 (/.f64 (.f64 A l) V))) (if (<=.f64 (/.f64 A (.f64 V l)) #s(literal 10000000000000000132565989783574162680686561089586460035632031477942492726904253214615979418039362499727374638565892090988122974650007025784551738302746731685907395315255274646861058187558214617579496201832662352585538835573636597522107561710941518560028749376834095178551288964115055725510656 binary64)) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))
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(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

soundness2.1s (21.2%)

Rules

4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
3912×	`-lowering-.f32`
3912×	`-lowering-.f64`
3682×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	25	22
2	124	22
3	712	22
4	4692	22
0	8451	22
0	30	131
1	150	121
2	773	119
3	6364	119
0	8077	119
0	30	123
1	156	118
2	922	117
3	6960	117
0	8875	117
0	33	124
1	182	124
2	1376	123
0	8792	123

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 1396 to 606 computations (56.6% saved)

preprocess130.0ms (1.3%)

Remove: (negabs c0)
Compiler: Compiled 2420 to 804 computations (66.8% saved)

Iter	Nodes	Cost
0	30	167
1	56	165
2	89	165
3	171	165
4	283	165
5	458	165
6	587	165
7	647	165
8	661	165
9	688	165
10	712	165
11	720	165
12	725	165
13	727	165
0	727	165

Iter	Nodes	Cost
0	30	167
1	56	165
2	89	165
3	171	165
4	283	165
5	458	165
6	587	165
7	647	165
8	661	165
9	688	165
10	712	165
11	720	165
12	725	165
13	727	165
0	727	165

analyze308.0ms (3.1%)

sample1.6s (15.5%)

preprocess68.0ms (0.7%)

explain79.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize31.0ms (0.3%)

series17.0ms (0.2%)

rewrite278.0ms (2.8%)

simplify62.0ms (0.6%)

eval62.0ms (0.6%)

prune112.0ms (1.1%)

simplify145.0ms (1.4%)

localize131.0ms (1.3%)

series43.0ms (0.4%)

rewrite312.0ms (3.1%)

simplify254.0ms (2.5%)

eval317.0ms (3.2%)

prune263.0ms (2.6%)

simplify287.0ms (2.9%)

localize139.0ms (1.4%)

series32.0ms (0.3%)

rewrite380.0ms (3.8%)

simplify263.0ms (2.6%)

eval396.0ms (4%)

prune307.0ms (3.1%)

simplify32.0ms (0.3%)

localize133.0ms (1.3%)

series32.0ms (0.3%)

rewrite287.0ms (2.9%)

simplify190.0ms (1.9%)

eval557.0ms (5.6%)

prune221.0ms (2.2%)

regimes127.0ms (1.3%)

regimes20.0ms (0.2%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes39.0ms (0.4%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes41.0ms (0.4%)

regimes38.0ms (0.4%)

regimes10.0ms (0.1%)

regimes58.0ms (0.6%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch38.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness2.1s (21.2%)

preprocess130.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	167
1	56	165
2	89	165
3	171	165
4	283	165
5	458	165
6	587	165
7	647	165
8	661	165
9	688	165
10	712	165
11	720	165
12	725	165
13	727	165
0	727	165