Crypto.Random.Test:calculate from crypto-random-0.0.9

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze54.0ms (3.8%)

Memory
13.2MiB live, 61.8MiB allocated; 6ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample701.0ms (49.6%)

Memory
17.0MiB live, 819.9MiB allocated; 113ms collecting garbage
Samples
422.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult!: 54.0ms (43.2% of total)
ival-div!: 49.0ms (39.2% of total)
ival-add!: 20.0ms (16% of total)
adjust: 2.0ms (1.6% of total)
Bogosity

explain167.0ms (11.8%)

Memory
-0.4MiB live, 167.9MiB allocated; 135ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(/.f64 (*.f64 y y) z)
00-0-(+.f64 x (/.f64 (*.f64 y y) z))
00-0-y
00-0-(*.f64 y y)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 y y) z)o/n230
(*.f64 y y)overflow68
/.f64(/.f64 (*.f64 y y) z)u/n10
(*.f64 y y)underflow70
Confusion
Predicted +Predicted -
+240
-0232
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-00232
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0232
124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
120.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div!: 14.0ms (78.1% of total)
ival-mult!: 3.0ms (16.7% of total)
ival-add!: 1.0ms (5.6% of total)
adjust: 0.0ms (0% of total)

preprocess13.0ms (0.9%)

Memory
-12.8MiB live, 34.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02675
17073
217773
334173
458473
562273
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(+.f64 x (/.f64 (*.f64 y y) z))
Symmetry

(abs y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series7.0ms (0.5%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
6 → 12
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
Outputs
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms
y
@0
((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms
y
@-inf
((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms
z
@-inf
((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms
x
@-inf
((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)

rewrite87.0ms (6.2%)

Memory
-45.9MiB live, 98.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041162
044160
1187160
01477149
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 81
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y y) z))
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y y) z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 y (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 y (/.f64 y z) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
x
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)
(*.f64 (/.f64 y z) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (*.f64 y (pow.f64 z #s(literal -1 binary64))))
(*.f64 y (/.f64 y z))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 y y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z))
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x))
#s(approx x x)
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x))
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64))))
#s(approx (/ (* y y) z) (/.f64 (*.f64 y y) z))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx z z)

eval9.0ms (0.6%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 956 to 229 computations (76% saved)

prune3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584
Accuracy
100.0%
Counts
84 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
99.9%
(fma.f64 (/.f64 y z) y x)
91.0%
(+.f64 x (/.f64 (*.f64 y y) z))
45.0%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
50.2%
#s(approx (+ x (/ (* y y) z)) x)
Compiler

Compiled 43 to 34 computations (20.9% saved)

series9.0ms (0.6%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
12 → 28
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) x)
x
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 x))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow z -1) #s(hole binary64 (/ 1 z)))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((+ x (/ (* y y) z)) x (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (/ y z) y) x) (/ y z) (+ (* (pow z -1) (* y y)) x) (pow z -1) -1)
1.0ms
y
@-inf
((+ x (/ (* y y) z)) x (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (/ y z) y) x) (/ y z) (+ (* (pow z -1) (* y y)) x) (pow z -1) -1)
1.0ms
z
@-inf
((+ x (/ (* y y) z)) x (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (/ y z) y) x) (/ y z) (+ (* (pow z -1) (* y y)) x) (pow z -1) -1)
1.0ms
z
@0
((+ x (/ (* y y) z)) x (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (/ y z) y) x) (/ y z) (+ (* (pow z -1) (* y y)) x) (pow z -1) -1)
1.0ms
z
@inf
((+ x (/ (* y y) z)) x (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (/ y z) y) x) (/ y z) (+ (* (pow z -1) (* y y)) x) (pow z -1) -1)

rewrite76.0ms (5.4%)

Memory
0.0MiB live, 95.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067446
071412
1258412
01831406
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
40 → 187
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) x)
x
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
(fma.f64 (/.f64 y z) y x)
(/.f64 y z)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(pow.f64 z #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 x))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow z -1) #s(hole binary64 (/ 1 z)))
Outputs
#s(approx (+ (* (pow z -1) (* y y)) x) x)
x
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (*.f64 y y) z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 y z) y)
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y))
(*.f64 y (/.f64 y z))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 y y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z))
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
z
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x)
(fma.f64 y (/.f64 y z) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) y))
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x)
(fma.f64 y (/.f64 y z) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) y))
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))))
#s(literal -1 binary64)
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 y z) y x))
#s(approx x x)
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 y z) y x))
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 y z) y x))
#s(approx (+ (* (pow z -1) (* y y)) x) x)
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x))
#s(approx (+ (* (pow z -1) (* y y)) x) x)
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x))
#s(approx (+ (* (pow z -1) (* y y)) x) x)
#s(approx (+ (* (pow z -1) (* y y)) x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ (* y y) z) (/.f64 (*.f64 y y) z))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (/ y z) (/.f64 y z))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (pow z -1) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx z z)
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx (+ (* (pow z -1) (* y y)) x) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64)))

eval37.0ms (2.6%)

Memory
-6.4MiB live, 42.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 407 to 399 computations (83.4% saved)

prune21.0ms (1.5%)

Memory
-31.4MiB live, 16.3MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1743177
Fresh000
Picked134
Done011
Total1757182
Accuracy
100.0%
Counts
182 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y) x)
99.9%
(fma.f64 (/.f64 y z) y x)
91.0%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
91.0%
(+.f64 x (/.f64 (*.f64 y y) z))
45.0%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
52.3%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
50.2%
#s(approx (+ x (/ (* y y) z)) x)
Compiler

Compiled 66 to 52 computations (21.2% saved)

series11.0ms (0.8%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Counts
15 → 33
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(*.f64 y y)
x
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y) x)
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (* (/ y z) y) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (/ 1 z)))
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z))))
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) y z (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2)
1.0ms
z
@0
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) y z (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2)
1.0ms
y
@-inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) y z (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2)
1.0ms
y
@inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) y z (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2)
1.0ms
z
@inf
((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) y z (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2)

rewrite44.0ms (3.1%)

Memory
7.9MiB live, 55.2MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087548
097506
0342492
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
48 → 89
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(*.f64 y y)
x
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y) x)
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (* (/ y z) y) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (/ 1 z)))
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z))))
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 y z) y)
(*.f64 y (/.f64 y z))
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
y
z
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x))))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x))))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x)
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x))
#s(approx (+ (* (/ 1 z) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (/ 1 z) (* y y)) x) (fma.f64 (/.f64 y z) y x))
#s(approx x x)
#s(approx (+ (* (/ 1 z) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (/ 1 z) (* y y)) x) (fma.f64 (/.f64 y z) y x))
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 z) (* y y)) x) x)
#s(approx (+ (* (/ 1 z) (* y y)) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 z) (* y y)) x) x)
#s(approx (+ (* (/ 1 z) (* y y)) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (* y y) z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x)))
#s(approx (* (/ y z) y) (/.f64 (*.f64 y y) z))
#s(approx (/ y z) (/.f64 y z))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx z z)
#s(approx (+ (* (/ 1 z) (* y y)) x) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx (pow (pow z -1/2) 2) (pow.f64 z #s(literal -1 binary64)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (/.f64 (fma.f64 z x (*.f64 y y)) z))
#s(approx (pow (pow z -1/2) 2) (pow.f64 z #s(literal -1 binary64)))
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (+ (* (/ 1 z) (* y y)) x) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z) #s(literal -1 binary64) x))
#s(approx (pow (pow z -1/2) 2) (pow.f64 z #s(literal -1 binary64)))
#s(approx (pow z -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))

eval21.0ms (1.5%)

Memory
-27.9MiB live, 19.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 103 to 183 computations (83.4% saved)

prune4.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New84185
Fresh000
Picked123
Done044
Total85792
Accuracy
100.0%
Counts
92 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
99.9%
(fma.f64 (/.f64 y z) y x)
91.0%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
91.0%
(+.f64 x (/.f64 (*.f64 y y) z))
45.0%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
52.3%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
50.2%
#s(approx (+ x (/ (* y y) z)) x)
Compiler

Compiled 71 to 56 computations (21.1% saved)

series7.0ms (0.5%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
11 → 19
Calls
Call 1
Inputs
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
(pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
#s(literal 2 binary64)
(*.f64 y y)
y
x
Outputs
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (/ 1 z)))
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z))))
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) z 2 (* y y) y x)
1.0ms
z
@0
((+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) z 2 (* y y) y x)
1.0ms
z
@inf
((+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) z 2 (* y y) y x)
1.0ms
y
@inf
((+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) z 2 (* y y) y x)
1.0ms
y
@-inf
((+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) z 2 (* y y) y x)

rewrite44.0ms (3.1%)

Memory
3.0MiB live, 52.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068304
075266
0313257
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
30 → 49
Calls
Call 1
Inputs
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
(pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
#s(literal 2 binary64)
(*.f64 y y)
y
x
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (pow y 2) z)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z)))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (/ 1 z)))
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z))))
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) x))))
(fma.f64 (*.f64 (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64)) y) y x)
(fma.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 y y) x)
(+.f64 (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))) x)
(+.f64 x (*.f64 (*.f64 y y) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))))
(pow.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
z
#s(literal 2 binary64)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
x
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (/.f64 (*.f64 y y) z))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (+.f64 (/.f64 (*.f64 y y) z) x))
#s(approx x x)
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) x)
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y)))
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (/.f64 (fma.f64 x z (*.f64 y y)) z))
#s(approx (pow (pow z -1/2) 2) (pow.f64 z #s(literal -1 binary64)))
#s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (+ (* (pow (pow z -1/2) 2) (* y y)) x) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z) #s(literal -1 binary64) x))
#s(approx (pow (pow z -1/2) 2) (pow.f64 z #s(literal -1 binary64)))
#s(approx (pow z -1/2) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt z) (neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))))

eval7.0ms (0.5%)

Memory
-29.6MiB live, 17.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 931 to 152 computations (83.7% saved)

prune4.0ms (0.3%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done066
Total49756
Accuracy
100.0%
Counts
56 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
99.9%
(fma.f64 (/.f64 y z) y x)
91.0%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
91.0%
(+.f64 x (/.f64 (*.f64 y y) z))
45.0%
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
52.3%
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
50.2%
#s(approx (+ x (/ (* y y) z)) x)
Compiler

Compiled 160 to 89 computations (44.4% saved)

regimes19.0ms (1.3%)

Memory
3.1MiB live, 50.1MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) y x)
(+.f64 x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y) x)
Outputs
(fma.f64 (/.f64 y z) y x)
Calls

6 calls:

5.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms
z
3.0ms
x
3.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(/.f64 (*.f64 y y) z)
99.9%1(+.f64 x (/.f64 (*.f64 y y) z))
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes12.0ms (0.8%)

Memory
-18.1MiB live, 28.7MiB allocated; 2ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
Calls

6 calls:

4.0ms
(*.f64 y y)
2.0ms
x
2.0ms
z
1.0ms
y
1.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
Results
AccuracySegmentsBranch
86.6%2(*.f64 y y)
89.3%3(/.f64 (*.f64 y y) z)
80.2%3(+.f64 x (/.f64 (*.f64 y y) z))
67.2%3x
86.6%2y
63.2%3z
Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes6.0ms (0.5%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y y) z)) x)
Outputs
#s(approx (+ x (/ (* y y) z)) x)
Calls

6 calls:

1.0ms
(/.f64 (*.f64 y y) z)
1.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
Results
AccuracySegmentsBranch
50.2%1z
50.2%1x
50.2%1(+.f64 x (/.f64 (*.f64 y y) z))
50.2%1(*.f64 y y)
50.2%1y
50.2%1(/.f64 (*.f64 y y) z)
Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3336397009656718e-68
2.3544486471875513e-67
0.0ms
-7.510726994652754e-77
-4.210950055267997e-115
Compiler

Compiled 10 to 12 computations (-20% saved)

derivations25.0ms (1.8%)

Memory
-13.9MiB live, 35.7MiB allocated; 8ms collecting garbage
Stop Event
done
Compiler

Compiled 66 to 19 computations (71.2% saved)

preprocess24.0ms (1.7%)

Memory
17.2MiB live, 63.6MiB allocated; 4ms collecting garbage
Remove

(abs y)

Compiler

Compiled 292 to 122 computations (58.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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