Henrywood and Agarwal, Equation (12)

Time bar (total: 13.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze413.0ms (3.2%)

Memory
20.9MiB live, 568.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
12.5%12.5%87.3%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
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.9s (45.6%)

Memory
1.9MiB live, 6 794.8MiB allocated
Samples
2.9s13 202×0invalid
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
ival-div: 1.1s (29.9% of total)
ival-mult: 979.0ms (27.2% of total)
ival-pow: 883.0ms (24.5% of total)
ival-pow2: 445.0ms (12.4% of total)
ival-sub: 169.0ms (4.7% of total)
exact: 23.0ms (0.6% of total)
ival-true: 18.0ms (0.5% of total)
ival-assert: 10.0ms (0.3% of total)
Bogosity

explain357.0ms (2.7%)

Memory
-12.2MiB live, 506.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-1(7.22480544287791e-286 3.0131599853860433e+24 5.450822706172286e-305 -4.723952413184039e+260 -3.6017610197267755e-171)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
530-0-(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
370-1(7.187929881641095e+111 7.77824597511206e-117 4.4371841973371236e+195 -1.317537041521653e+192 -6.754057743714082e-52)(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
340-1(2.8075787516917927e-24 4.268388374605484e+162 1.8750248007357884e-174 9.993818660411843e-251 -2.5654771349273423e-72)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
180-1(1.2232989391677921e-145 1.3511701846796386e+51 1.4320803911763309e+299 -2.4831152813348255e+92 -2.793565273013561e-49)(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(/.f64 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue380
(/.f64 d h)overflow38
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue290
(/.f64 d h)underflow29
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue280
(/.f64 d l)overflow28
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue250
(/.f64 d l)underflow25
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n150
(*.f64 M D)overflow33
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))n*o110
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*o70
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))u*o70
(/.f64 d h)underflow29
(/.f64 d l)underflow25
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))underflow15
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow77
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow77
(/.f64 h l)overflow35
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))overflow77
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))overflow77
(*.f64 M D)overflow33
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow36
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))o*u60
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow77
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow77
(*.f64 M D)overflow33
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow36
(/.f64 h l)underflow31
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*u30
Confusion
Predicted +Predicted -
+815
-37133
Precision
0.6864406779661016
Recall
0.9418604651162791
Confusion?
Predicted +Predicted MaybePredicted -
+8105
-370133
Precision?
0.6864406779661016
Recall?
0.9418604651162791
Freqs
test
numberfreq
0138
180
225
313
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
103.0ms512×0valid
Compiler

Compiled 501 to 92 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 21.0ms (30.7% of total)
ival-pow: 21.0ms (30.7% of total)
ival-mult: 17.0ms (24.9% of total)
ival-pow2: 6.0ms (8.8% of total)
ival-sub: 3.0ms (4.4% of total)
ival-true: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess159.0ms (1.2%)

Memory
13.2MiB live, 165.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168564
1565553
22087548
35974548
02229
03827
16927
218427
3126627
4487427
0823026
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize65.0ms (0.5%)

Memory
13.8MiB live, 88.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy8.02729427762313
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy8.232418105068463
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy12.583060186473524
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy15.886747660978227
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
47.0ms256×0valid
Compiler

Compiled 310 to 46 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.7% of total)
ival-pow: 10.0ms (29.7% of total)
ival-mult: 8.0ms (23.8% of total)
ival-pow2: 3.0ms (8.9% of total)
ival-sub: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-11.9MiB live, 67.7MiB allocated
Counts
4 → 8
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
Calls

15 calls:

TimeVariablePointExpression
9.0ms
M
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
8.0ms
d
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
M
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
h
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
3.0ms
d
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify11.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03070
06770
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
8 → 8
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))

rewrite146.0ms (1.1%)

Memory
-15.8MiB live, 176.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932
03230
19730
255228
3589828
0803128
Stop Event
iter limit
node limit
iter limit
Counts
4 → 482
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 d)) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 h d)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 h d)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 h d)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 h d)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
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(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d)
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))
(/.f64 D (*.f64 #s(literal 2 binary64) (/.f64 d M)))
(/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) M))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal 1 binary64))))
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))

eval98.0ms (0.8%)

Memory
-32.3MiB live, 147.5MiB allocated
Compiler

Compiled 18 206 to 2 586 computations (85.8% saved)

prune41.0ms (0.3%)

Memory
2.9MiB live, 79.5MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New46129490
Fresh000
Picked101
Done000
Total46229491
Accuracy
90.0%
Counts
491 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
68.1%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
67.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
42.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) d) h)) (neg.f64 l))))
51.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))))
39.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) h)))
62.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) l) (/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))))
59.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))
61.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))))))
59.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
42.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l))))
62.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
54.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))))
66.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
50.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))))))
34.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 D (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))))))
40.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
29.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
42.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
67.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
67.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
29.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
67.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
33.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
68.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.1%
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.2%
(*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.1%
(*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 2 086 to 1 432 computations (31.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize252.0ms (1.9%)

Memory
11.1MiB live, 247.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.1415701234150877
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D)
accuracy5.808957121324593
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l))
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy3.0393677968759807
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy3.713337966258432
(*.f64 M (/.f64 h l))
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy1.6333866871367555
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy4.610190509809697
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy4.689859402206881
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.093261061506679
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy9.560042914036286
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy4.610190509809697
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy4.689859402206881
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.670009914190045
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
Samples
94.0ms146×0valid
83.0ms110×0invalid
Compiler

Compiled 1 672 to 138 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-mult: 90.0ms (66.2% of total)
ival-div: 17.0ms (12.5% of total)
ival-pow: 16.0ms (11.8% of total)
ival-pow2: 5.0ms (3.7% of total)
ival-sub: 4.0ms (2.9% of total)
ival-sqrt: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (0.8%)

Memory
4.1MiB live, 156.8MiB allocated
Counts
12 → 28
Calls
Call 1
Inputs
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D)
Outputs
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/2 (/ (* D M) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* -2 (* D (* M d)))
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* (pow D 2) (* (pow M 2) h))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
Calls

15 calls:

TimeVariablePointExpression
14.0ms
l
@0
((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D))
11.0ms
M
@inf
((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D))
8.0ms
h
@0
((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D))
8.0ms
D
@-inf
((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D))
6.0ms
d
@0
((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D))

simplify26.0ms (0.2%)

Memory
-0.8MiB live, 36.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136518
0409508
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
28 → 28
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d l))
(* 1/2 (/ (* D M) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* -2 (* D (* M d)))
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* (pow D 2) (* (pow M 2) h))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(* 1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 M h) D)) (*.f64 l d))
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64))
(* -2 (* D (* M d)))
(*.f64 (*.f64 (*.f64 M d) D) #s(literal -2 binary64))
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(/ (* M h) l)
(*.f64 M (/.f64 h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))

rewrite144.0ms (1.1%)

Memory
39.3MiB live, 238.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047128
086125
1270124
21755118
08654117
Stop Event
iter limit
node limit
iter limit
Counts
12 → 833
Calls
Call 1
Inputs
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D)
Outputs
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))))
(*.f64 (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))) (sqrt.f64 d))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 h d)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))
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(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) h))))
(neg.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 l h)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))))
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(*.f64 (neg.f64 (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M))
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(*.f64 (neg.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)
(*.f64 (neg.f64 (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
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(*.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (fabs.f64 (pow.f64 d #s(literal -1 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 D #s(literal 1/2 binary64))) (fabs.f64 (/.f64 M d)))
(*.f64 (fabs.f64 (/.f64 M d)) (fabs.f64 (*.f64 D #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 d #s(literal -1 binary64))))
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(*.f64 (fabs.f64 (*.f64 D #s(literal -2 binary64))) (fabs.f64 (*.f64 M d)))
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M)) D)
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D)) M)
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) M)))
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 M #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)
(*.f64 (fabs.f64 (*.f64 M #s(literal 1/2 binary64))) (fabs.f64 (/.f64 D d)))
(*.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d)))
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(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M))) (exp.f64 (log.f64 D)))
(*.f64 (exp.f64 (log.f64 D)) (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) #s(literal 1 binary64)) M)
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(*.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (pow.f64 d #s(literal -1 binary64)))
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(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) M)
(*.f64 (*.f64 D #s(literal -2 binary64)) (*.f64 M d))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))))
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M d))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
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(*.f64 (neg.f64 d) (*.f64 #s(literal -2 binary64) (*.f64 D M)))
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(*.f64 (neg.f64 M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D)
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 d (*.f64 D M)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 M d) D))
(*.f64 #s(literal -2 binary64) (*.f64 d (*.f64 D M)))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(*.f64 (/.f64 D d) (pow.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 D M))
(*.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))
(*.f64 D (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M)))
(*.f64 D (*.f64 (*.f64 #s(literal -2 binary64) d) M))
(*.f64 M (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D)))
(*.f64 M (fabs.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(*.f64 M (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) #s(literal 1 binary64)))
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(*.f64 M (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (/.f64 D d) M)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (*.f64 M d) D)))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 d (*.f64 D M))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 M d) D))
(*.f64 #s(literal 2 binary64) (*.f64 d (*.f64 D M)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 D d) M))
(*.f64 d (fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 D M))))
(*.f64 d (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 D M)) #s(literal 1 binary64)))
(*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 D M)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) d)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 M (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) d)
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64))) d)
(/.f64 (neg.f64 (*.f64 M #s(literal 1/2 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) d)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 M (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M)) d)
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) d)
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64))) d)
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) d)
(/.f64 (fabs.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d)
(/.f64 (fabs.f64 (*.f64 (neg.f64 D) M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (fabs.f64 (*.f64 M #s(literal 1/2 binary64))) (fabs.f64 (/.f64 d D)))
(/.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 D) M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) d)
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d)
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 M) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D))))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))
(/.f64 D (/.f64 (*.f64 #s(literal -2 binary64) d) M))
(/.f64 M (fabs.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D))))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))
(neg.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (sinh.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))))

eval127.0ms (1%)

Memory
-23.1MiB live, 210.3MiB allocated
Compiler

Compiled 40 708 to 3 558 computations (91.3% saved)

prune207.0ms (1.6%)

Memory
-0.4MiB live, 123.2MiB allocated
Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New95733990
Fresh18624
Picked505
Done000
Total980391 019
Accuracy
93.7%
Counts
1 019 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
32.1%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
31.7%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
14.6%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
27.3%
(-.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))))
26.1%
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
31.6%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
41.1%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
30.4%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
41.8%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
68.1%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
73.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
59.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
62.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
57.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64)))))
42.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
57.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d))) #s(literal 1/8 binary64)))))
37.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64)))))
29.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
19.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
27.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l)))
41.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
24.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
40.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
29.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
66.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
40.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
33.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.2%
(*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.1%
(*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
21.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
39.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
20.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
27.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)))
27.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h))
18.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
30.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
Compiler

Compiled 3 264 to 2 300 computations (29.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize305.0ms (2.3%)

Memory
6.1MiB live, 281.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.6333866871367555
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy4.610190509809697
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy4.689859402206881
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy8.670009914190045
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
accuracy1.6333866871367555
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
accuracy3.0393677968759807
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy3.713337966258432
(*.f64 M (/.f64 h l))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy3.14140442690182
(*.f64 (*.f64 M d) D)
accuracy4.631638892739918
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy6.085957302059743
(sqrt.f64 (/.f64 l d))
accuracy8.553912524457331
(sqrt.f64 (/.f64 d h))
accuracy0.14453125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
accuracy0.29071151393183103
(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy5.05437898850497
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy17.178190459518813
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
accuracy1.6706211040295489
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
accuracy4.689387336598915
(/.f64 (*.f64 D M) d)
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.553912524457331
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
123.0ms146×0valid
87.0ms110×0invalid
Compiler

Compiled 1 366 to 155 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-div: 47.0ms (31.1% of total)
ival-mult: 45.0ms (29.8% of total)
ival-pow2: 28.0ms (18.5% of total)
ival-pow: 16.0ms (10.6% of total)
ival-sqrt: 8.0ms (5.3% of total)
ival-sub: 4.0ms (2.6% of total)
ival-add: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series144.0ms (1.1%)

Memory
-1.0MiB live, 151.0MiB allocated
Counts
19 → 43
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 D M) d)
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 l d))
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 M d) D)
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(sqrt (/ d h))
(sqrt (/ d l))
(/ (* D M) d)
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ l d))
1
(+ 1 (* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(* D (* M d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2))))
Calls

15 calls:

TimeVariablePointExpression
64.0ms
D
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
12.0ms
d
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
8.0ms
h
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
7.0ms
M
@inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms
d
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify28.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172715
0529699
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
43 → 43
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d l))
(/ (* D M) d)
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ l d))
1
(+ 1 (* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(* D (* M d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2))))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/2 binary64))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal 2 binary64) #s(literal 1 binary64))
(* D (* M d))
(*.f64 (*.f64 M d) D)
(* 1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d d))) (*.f64 d d))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 l d)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (/ 1 (* h l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(/ (* M h) l)
(*.f64 M (/.f64 h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)) h)
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 M M)) (*.f64 D D)) l) (neg.f64 (/.f64 #s(literal 1 binary64) h))) h))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) l) l)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 l d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) (*.f64 M M))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 D D))) (*.f64 D D))

rewrite182.0ms (1.4%)

Memory
1.5MiB live, 277.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076217
0127214
1359193
22317187
08501183
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 006
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 D M) d)
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 l d))
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 M d) D)
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
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(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))))
(*.f64 (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))) (sqrt.f64 d))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 h d)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (neg.f64 (sqrt.f64 h))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (fabs.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))))
(sqrt.f64 (/.f64 d h))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 h))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d h))))
(fabs.f64 (sqrt.f64 (/.f64 d h)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64) (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 d h))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))))
(*.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 d))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d)))
(*.f64 (pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (neg.f64 (sqrt.f64 d)) (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(pow.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 l)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 l)))))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(neg.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l))))
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l))))
(sqrt.f64 (/.f64 d l))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d l))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(fabs.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l))))
(fabs.f64 (sqrt.f64 (/.f64 d l)))
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))))
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 M d))
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 D d))
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 M D) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 M D))
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (*.f64 M D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 M d) D)
(*.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal -1 binary64))))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) D))
(pow.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 d M)))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 D) (neg.f64 (/.f64 d M)))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 M D) d)
(/.f64 D (/.f64 d M))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) d))
(neg.f64 (/.f64 (*.f64 M D) (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 M D) (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) h) d))
(*.f64 (*.f64 h (*.f64 (/.f64 M d) D)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 (/.f64 M d) D))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) h) (pow.f64 (*.f64 M D) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) h)
(*.f64 (*.f64 M D) (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) D) h))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 1/2 binary64) h))
(*.f64 D (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 h (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 (/.f64 d (*.f64 M D))))
(/.f64 (neg.f64 (*.f64 h (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 1/2 binary64) h)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) h)) (/.f64 d (*.f64 M D)))
(/.f64 (*.f64 h (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) d)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(*.f64 (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 l)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(+.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l))))

eval150.0ms (1.2%)

Memory
12.2MiB live, 293.8MiB allocated
Compiler

Compiled 38 071 to 4 606 computations (87.9% saved)

prune75.0ms (0.6%)

Memory
-5.0MiB live, 156.7MiB allocated
Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New91840958
Fresh27734
Picked415
Done000
Total94948997
Accuracy
94.7%
Counts
997 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
48.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
30.7%
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
5.5%
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
46.8%
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
66.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
42.3%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 h l) M))) d)))
43.0%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
24.7%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
57.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64)))))
42.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
32.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
19.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
32.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
73.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
66.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
35.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
50.7%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
49.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
73.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
50.7%
(*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
41.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
34.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
39.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
24.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
29.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
41.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
22.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
30.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
29.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
30.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
24.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
3.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
30.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
18.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
20.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
30.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
41.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
30.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d))
29.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
34.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
45.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Compiler

Compiled 3 888 to 2 741 computations (29.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize354.0ms (2.7%)

Memory
-42.2MiB live, 272.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.6333866871367555
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
accuracy2.6059790027090095
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l)
accuracy4.83837851034197
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d))
accuracy8.670009914190045
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
accuracy1.2732317837268408
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
accuracy1.6333866871367555
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
accuracy3.0393677968759807
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
accuracy3.713337966258432
(*.f64 M (/.f64 h l))
accuracy0.1640625
(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d)))
accuracy1.760382807206528
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
accuracy8.553912524457331
(sqrt.f64 (/.f64 d h))
accuracy17.178190459518813
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
accuracy0.0
(*.f64 l h)
accuracy0.12890625
(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy4.888532836838047
(sqrt.f64 (*.f64 l h))
accuracy17.178190459518813
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy1.6706211040295489
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
accuracy4.689387336598915
(/.f64 (*.f64 D M) d)
accuracy6.430176195003632
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.680042067499334
(sqrt.f64 (/.f64 h d))
Samples
147.0ms110×0invalid
127.0ms146×0valid
Compiler

Compiled 1 254 to 158 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-sqrt: 73.0ms (41.5% of total)
ival-mult: 48.0ms (27.3% of total)
ival-div: 29.0ms (16.5% of total)
ival-pow: 16.0ms (9.1% of total)
ival-sub: 5.0ms (2.8% of total)
ival-pow2: 3.0ms (1.7% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series111.0ms (0.9%)

Memory
-9.3MiB live, 148.3MiB allocated
Counts
20 → 37
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 h d))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 D M) d)
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(sqrt.f64 (*.f64 l h))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
(sqrt.f64 (/.f64 d h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d)))
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l)
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
Outputs
(sqrt (/ h d))
(sqrt (/ d l))
(/ (* D M) d)
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(* -1 (* d (sqrt (/ 1 h))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/4 (/ (* D M) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (* h l))
(* h l)
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* 1/2 (/ (* D M) l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
Calls

15 calls:

TimeVariablePointExpression
30.0ms
D
@inf
((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D))))))
20.0ms
h
@-inf
((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D))))))
8.0ms
d
@inf
((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D))))))
6.0ms
d
@-inf
((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D))))))
6.0ms
d
@0
((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D))))))

simplify43.0ms (0.3%)

Memory
7.1MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144592
0430581
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
37 → 37
Calls
Call 1
Inputs
(sqrt (/ h d))
(sqrt (/ d l))
(/ (* D M) d)
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d h))
(* -1 (* d (sqrt (/ 1 h))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/4 (/ (* D M) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(sqrt (* h l))
(* h l)
(/ (* M h) l)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* 1/2 (/ (* D M) l))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
Outputs
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/2 binary64))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* d (sqrt (/ 1 h))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal 1/2 binary64))
(* 1/4 (/ (* D M) d))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h d)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (* h l))
(sqrt.f64 (*.f64 l h))
(* h l)
(*.f64 l h)
(/ (* M h) l)
(*.f64 M (/.f64 h l))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h d))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))) h))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))
(* 1/2 (/ (* D M) l))
(*.f64 (/.f64 (*.f64 M D) l) #s(literal 1/2 binary64))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))

rewrite160.0ms (1.2%)

Memory
1.1MiB live, 195.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075254
0121234
1388205
23098205
08340201
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 190
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 h d))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 D M) d)
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
(sqrt.f64 (*.f64 l h))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
(sqrt.f64 (/.f64 d h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d)))
(*.f64 M (/.f64 h l))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l)
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
Outputs
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 h)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h d)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (sqrt.f64 h))
(*.f64 (sqrt.f64 h) (pow.f64 d #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64))
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (neg.f64 (sqrt.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (sqrt.f64 d))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 d h))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 h))) (neg.f64 (neg.f64 (sqrt.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))
(/.f64 (pow.f64 d #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 d h))))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d)))
(/.f64 (sqrt.f64 h) (sqrt.f64 d))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 h d))
(fabs.f64 (sqrt.f64 (/.f64 h d)))
(exp.f64 (-.f64 (*.f64 (log.f64 h) #s(literal 1/2 binary64)) (*.f64 (log.f64 d) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 d h)))))
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))))
(*.f64 (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 d))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))
(*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 d) (fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l))) (*.f64 (neg.f64 (sqrt.f64 l)) (sqrt.f64 d))) l)
(/.f64 (fabs.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64))) (sqrt.f64 l))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (sqrt.f64 l))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64)) (sqrt.f64 l))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 d) (fabs.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l))))
(sqrt.f64 (/.f64 d l))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 l)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(fabs.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (/.f64 #s(literal 0 binary64) (sqrt.f64 l))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d l))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))
(fabs.f64 (sqrt.f64 (/.f64 d l)))
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 M D) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 M D))
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (/.f64 M d) D)
(*.f64 (*.f64 M D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) d))
(pow.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 d M)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 d M))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M D))))
(/.f64 (neg.f64 D) (neg.f64 (/.f64 d M)))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 (*.f64 M D) d)
(/.f64 D (/.f64 d M))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) d))
(neg.f64 (/.f64 (*.f64 M D) (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (*.f64 h (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) h) (/.f64 (*.f64 M D) d))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 D (/.f64 h d)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) (/.f64 h d))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) d) h))
(*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal 1/2 binary64) h))
(*.f64 (*.f64 M D) (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 M (*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 h d)))
(*.f64 D (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 h d)))
(*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M))
(*.f64 h (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 (/.f64 d (*.f64 M D))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) (neg.f64 h))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) #s(literal 1 binary64))) (neg.f64 (/.f64 d h)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 1/2 binary64) h)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) h)) (/.f64 d (*.f64 M D)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) (neg.f64 h)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) #s(literal 1 binary64)) (/.f64 d h))
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(fma.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (sqrt.f64 d) (pow.f64 (*.f64 l (/.f64 h d)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fma.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))
(+.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l))))
(+.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h)))))

eval94.0ms (0.7%)

Memory
13.4MiB live, 167.5MiB allocated
Compiler

Compiled 33 546 to 3 410 computations (89.8% saved)

prune114.0ms (0.9%)

Memory
-22.8MiB live, 229.9MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New77725802
Fresh172542
Picked415
Done011
Total79852850
Accuracy
94.8%
Counts
850 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
48.0%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h)))
5.5%
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
46.8%
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
66.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
67.5%
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
57.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64)))))
42.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
35.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
48.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
53.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
48.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d))))
49.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
35.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
69.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
33.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
33.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
73.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
41.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
34.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
39.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
29.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
26.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
42.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
41.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
29.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
20.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
30.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
30.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
30.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
34.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
29.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
3.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
30.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
18.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
30.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
41.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
30.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
28.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d))
24.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
24.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
29.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
34.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
31.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
34.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
45.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Compiler

Compiled 7 245 to 2 094 computations (71.1% saved)

regimes339.0ms (2.6%)

Memory
15.5MiB live, 244.3MiB allocated
Counts
128 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Calls

7 calls:

82.0ms
d
68.0ms
(*.f64 M D)
51.0ms
l
37.0ms
M
36.0ms
D
Results
AccuracySegmentsBranch
89.4%2d
89.4%2h
89.4%2l
73.5%1M
73.5%1D
82.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
73.5%1(*.f64 M D)
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes105.0ms (0.8%)

Memory
-3.2MiB live, 83.0MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
(/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l))
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 h l) M))) d)))
(-.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Calls

3 calls:

49.0ms
h
32.0ms
l
19.0ms
d
Results
AccuracySegmentsBranch
87.2%2d
87.2%2h
87.2%2l
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes69.0ms (0.5%)

Memory
-12.2MiB live, 26.2MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Calls

3 calls:

43.0ms
d
11.0ms
h
11.0ms
l
Results
AccuracySegmentsBranch
85.0%2d
85.0%2l
85.0%2h
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes64.0ms (0.5%)

Memory
5.1MiB live, 41.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Calls

3 calls:

39.0ms
d
11.0ms
h
11.0ms
l
Results
AccuracySegmentsBranch
82.0%3d
81.2%2l
83.1%3h
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes23.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Calls

2 calls:

10.0ms
h
10.0ms
l
Results
AccuracySegmentsBranch
81.2%2l
80.9%2h
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes99.0ms (0.8%)

Memory
-21.8MiB live, 64.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

4 calls:

42.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
34.0ms
l
10.0ms
d
10.0ms
h
Results
AccuracySegmentsBranch
73.5%1d
79.0%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
77.1%3h
77.5%2l
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes147.0ms (1.1%)

Memory
14.8MiB live, 125.9MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

7 calls:

50.0ms
d
32.0ms
(*.f64 M D)
26.0ms
l
10.0ms
h
10.0ms
M
Results
AccuracySegmentsBranch
56.2%2D
62.8%3d
56.8%2M
58.2%2(*.f64 M D)
62.7%2h
65.6%4l
69.0%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes194.0ms (1.5%)

Memory
-11.2MiB live, 111.5MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

7 calls:

99.0ms
h
42.0ms
d
15.0ms
D
9.0ms
l
9.0ms
M
Results
AccuracySegmentsBranch
45.8%1D
45.8%1M
45.8%1(*.f64 M D)
51.4%3d
51.3%3l
51.0%3h
53.6%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
53.6%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes20.0ms (0.2%)

Memory
-16.9MiB live, 19.8MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

18.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
53.2%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes9.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
53.2%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes6.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
53.2%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes40.0ms (0.3%)

Memory
-26.5MiB live, 20.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

4 calls:

27.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
4.0ms
d
4.0ms
h
4.0ms
l
Results
AccuracySegmentsBranch
49.4%2h
49.4%2l
49.4%2d
50.9%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes9.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

4 calls:

2.0ms
l
2.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms
h
2.0ms
d
Results
AccuracySegmentsBranch
48.1%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
45.8%1d
45.8%1l
45.8%1h
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes31.0ms (0.2%)

Memory
-19.0MiB live, 19.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
Calls

7 calls:

24.0ms
(*.f64 M D)
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
d
1.0ms
h
1.0ms
M
Results
AccuracySegmentsBranch
30.8%1l
30.8%1M
30.8%1d
30.8%1(*.f64 M D)
30.8%1D
30.8%1h
30.8%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch60.0ms (0.5%)

Memory
17.2MiB live, 94.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
-1.6952055001570504e-306
2.7378155499075997e-307
Samples
22.0ms131×0invalid
22.0ms128×0valid
Compiler

Compiled 630 to 478 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 10.0ms (28.9% of total)
ival-div: 9.0ms (26% of total)
ival-pow: 8.0ms (23.1% of total)
ival-pow2: 6.0ms (17.3% of total)
ival-sub: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch76.0ms (0.6%)

Memory
0.6MiB live, 114.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
69.0ms
-3.82291461410308e-303
2.1510174907490617e-305
Samples
32.0ms175×0invalid
26.0ms144×0valid
Compiler

Compiled 695 to 525 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 17.0ms (36.6% of total)
ival-pow: 13.0ms (28% of total)
ival-mult: 10.0ms (21.5% of total)
ival-pow2: 3.0ms (6.5% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-3.82291461410308e-303
2.1510174907490617e-305
Compiler

Compiled 668 to 498 computations (25.4% saved)

bsearch59.0ms (0.5%)

Memory
-17.6MiB live, 64.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
7.0ms
9.423089290011037e+141
4.4648781365021495e+143
47.0ms
7.053767882727868e-294
1.6172890225391828e-291
Samples
30.0ms128×0valid
15.0ms92×0invalid
Compiler

Compiled 582 to 446 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 17.0ms (47.7% of total)
ival-div: 7.0ms (19.6% of total)
ival-mult: 7.0ms (19.6% of total)
ival-pow2: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.5%)

Memory
22.5MiB live, 98.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
1.1738314975749913e-217
8.395116438355098e-208
Samples
28.0ms160×0valid
16.0ms110×0invalid
Compiler

Compiled 738 to 550 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 11.0ms (33.5% of total)
ival-mult: 9.0ms (27.4% of total)
ival-pow: 9.0ms (27.4% of total)
ival-pow2: 3.0ms (9.1% of total)
ival-sub: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
0.0ms
-1.1583989573834536e-110
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9344491398687774e+274
2.4654465970545854e+282
0.0ms
0.0
3.308922406142622e-237
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch58.0ms (0.4%)

Memory
-1.9MiB live, 114.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
5.453182445859837e-298
7.053767882727868e-294
Samples
25.0ms110×0invalid
20.0ms128×0valid
Compiler

Compiled 694 to 494 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (35.7% of total)
ival-div: 8.0ms (22% of total)
ival-pow: 8.0ms (22% of total)
ival-pow2: 4.0ms (11% of total)
ival-sub: 3.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.725931325498041e-26
-9.72327623745798e-43
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify230.0ms (1.8%)

Memory
-10.6MiB live, 109.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01721963
12571963
23441963
35361963
48881963
513331963
616071963
717661963
819201963
920741963
1021851963
1122331963
1222621963
1323281963
1423981963
1524911963
1625731963
1726501963
1827131963
1927911963
2028921963
2129731963
2230371963
2330951963
2431291963
2531431963
2631651963
2731811963
2832111963
2932261963
3032301963
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))))
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))))
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))))
(if (<=.f64 h #s(literal 2588678114201735/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (if (<=.f64 h #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))))
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Outputs
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness1.3s (10%)

Memory
-11.2MiB live, 1 319.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0136518
0409508
075254
0121234
1388205
23098205
08340201
076217
0127214
1359193
22317187
08501183
01932
03230
19730
255228
3589828
0803128
047128
086125
1270124
21755118
08654117
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
Compiler

Compiled 7 815 to 2 829 computations (63.8% saved)

preprocess111.0ms (0.9%)

Memory
21.7MiB live, 217.4MiB allocated
Compiler

Compiled 5 124 to 844 computations (83.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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