Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

Time bar (total: 20.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample582.0ms (2.9%)

Memory
7.0MiB live, 863.3MiB allocated
Samples
364.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 126.0ms (61.8% of total)
ival-exp: 68.0ms (33.3% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain61.0ms (0.3%)

Memory
-27.1MiB live, 80.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (*.f64 (*.f64 x y) y))
00-0-y
00-0-(*.f64 (*.f64 x y) y)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.7% of total)
ival-exp: 5.0ms (39% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
14934
212434
330034
450234
564834
671834
772934
056
086
1146
2216
3236
4246
0246
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify20.0ms (0.1%)

Memory
-35.6MiB live, 2.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-12288
(exp.f64 (*.f64 (*.f64 x y) y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11416
22116
32316
42416
02416
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y

localize17.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0
(exp.f64 (*.f64 (*.f64 x y) y))
accuracy0.12109375
(*.f64 (*.f64 x y) y)
Samples
13.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (55.4% of total)
ival-exp: 2.0ms (37% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(* x (pow y 2))
(* x y)
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms
x
@0
((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms
x
@inf
((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms
x
@-inf
((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms
y
@0
((* (* x y) y) (* x y) (exp (* (* x y) y)))

simplify176.0ms (0.9%)

Memory
-24.5MiB live, 55.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04498
112098
232898
380998
4110798
5123598
6131598
7133898
8135298
9269698
10329198
11408298
12507898
13509998
14509998
15533098
16533098
17533098
18533098
19690298
20690298
0690287
Stop Event
1×iter limit
1×saturated
Counts
9 → 9
Calls
Call 1
Inputs
(* x (pow y 2))
(* x y)
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y x) #s(literal 1/2 binary64)) y) (*.f64 y x) #s(literal 1 binary64))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y x) #s(literal 1/2 binary64)) y) (*.f64 y x) #s(literal 1 binary64))

rewrite35.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0514
0812
11412
22912
39212
44823
539143
090723
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 7
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
y
x
#s(literal 0 binary64)
y
x
#s(literal 0 binary64)
#s(literal 1 binary64)

eval1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Compiler

Compiled 110 to 37 computations (66.4% saved)

prune6.0ms (0%)

Memory
-31.1MiB live, 6.9MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7411
Fresh000
Picked011
Done000
Total7512
Accuracy
100.0%
Counts
12 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
▶61.8%
(exp.f64 y)
▶62.0%
(exp.f64 x)
▶62.2%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶52.0%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify4.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 y)
cost-diff0
(exp.f64 x)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01740
12740
23240
33440
43540
03540
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(exp.f64 x)
x
(exp.f64 y)
y
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(exp.f64 x)
x
(exp.f64 y)
y

localize43.0ms (0.2%)

Memory
3.8MiB live, 40.1MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(exp.f64 y)
accuracy0
(exp.f64 x)
accuracy0
(*.f64 y x)
accuracy0.0703125
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy24.16734025526524
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy30.74666091951467
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Samples
36.0ms256×0valid
Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (45% of total)
ival-exp: 5.0ms (37.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
6 → 20
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(exp.f64 x)
(exp.f64 y)
Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 1 x) (pow y 2)))
(exp x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(exp y)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms
y
@-inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms
x
@0
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
0.0ms
y
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
0.0ms
x
@inf
((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))

simplify136.0ms (0.7%)

Memory
20.8MiB live, 174.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079173
1227173
2567173
31476173
42232173
53962173
08079149
Stop Event
1×iter limit
1×node limit
Counts
20 → 20
Calls
Call 1
Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 1 x) (pow y 2)))
(exp x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(exp y)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(exp y)
(exp.f64 y)

rewrite504.0ms (2.5%)

Memory
-16.2MiB live, 268.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01734
14034
218134
3151734
0837634
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 216
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(exp.f64 x)
(exp.f64 y)
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 y x))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y x)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 (*.f64 y x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (*.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 y) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) x))
(exp.f64 x)
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(exp.f64 y)

eval25.0ms (0.1%)

Memory
15.5MiB live, 52.5MiB allocated
Compiler

Compiled 7 843 to 772 computations (90.2% saved)

prune10.0ms (0.1%)

Memory
-13.2MiB live, 23.7MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New2247231
Fresh000
Picked044
Done011
Total22412236
Accuracy
100.0%
Counts
236 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
✓61.8%
(exp.f64 y)
✓62.0%
(exp.f64 x)
✓62.2%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶16.1%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
✓52.0%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶58.7%
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
57.6%
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
40.6%
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶40.2%
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 187 to 149 computations (20.3% saved)

simplify17.0ms (0.1%)

Memory
-20.5MiB live, 26.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028127
042127
164127
294127
3176127
4333127
5420127
6444127
0444125
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
Outputs
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(*.f64 y y)
y
x
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)

localize200.0ms (1%)

Memory
16.6MiB live, 92.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy23.28372158522555
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy0
(*.f64 y y)
accuracy6.494170993919216
(*.f64 (*.f64 y y) x)
accuracy24.16734025526524
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
accuracy31.40568086473817
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy28.616705336983312
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy30.61761066267732
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.03515625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.094804177178377
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Samples
147.0ms256×0valid
Compiler

Compiled 218 to 58 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 16.0ms (46.3% of total)
ival-add: 9.0ms (26% of total)
ival-exp: 6.0ms (17.4% of total)
const: 4.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
15 → 45
Calls
Call 1
Inputs
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
Outputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(+ 1 (* 1/2 x))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (/ 1 y)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms
y
@inf
((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms
x
@-inf
((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms
x
@inf
((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))
1.0ms
x
@0
((exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp x) (+ 1 x) (exp y) (+ 1 y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1))

simplify204.0ms (1%)

Memory
-25.9MiB live, 167.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120350
1374338
2995337
33410334
46944334
08181288
Stop Event
1×iter limit
1×node limit
Counts
45 → 43
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(+ 1 (* 1/2 x))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (/ 1 y)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 x) y) y)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite276.0ms (1.4%)

Memory
32.5MiB live, 155.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028114
042114
1152114
21090114
08223112
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 338
Calls
Call 1
Inputs
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
Outputs
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
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(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))

eval87.0ms (0.4%)

Memory
-32.6MiB live, 69.2MiB allocated
Compiler

Compiled 9 263 to 1 539 computations (83.4% saved)

prune29.0ms (0.1%)

Memory
-17.6MiB live, 21.9MiB allocated
Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New3666372
Fresh112
Picked235
Done055
Total36915384
Accuracy
100.0%
Counts
384 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
✓61.8%
(exp.f64 y)
✓62.0%
(exp.f64 x)
▶63.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
✓62.2%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓16.1%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
▶13.5%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
✓52.0%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶57.6%
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
58.7%
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
✓45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶17.1%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
40.6%
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
▶15.6%
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 339 to 246 computations (27.4% saved)

simplify440.0ms (2.2%)

Memory
18.2MiB live, 208.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
cost-diff0
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
cost-diff0
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047299
068299
1122299
2239299
3613299
41777299
52771299
64392299
74419299
84597299
94599299
104599299
08186285
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 y y)
y
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) y) x) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
y
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y x) y)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
#s(literal 1 binary64)
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)

localize96.0ms (0.5%)

Memory
11.9MiB live, 171.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.094804177178377
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
accuracy33.39350680150361
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
accuracy0.02734375
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.03515625
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy10.094804177178377
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy28.906676426336478
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
accuracy0
(*.f64 x y)
accuracy0.12109375
(*.f64 (*.f64 x y) y)
accuracy24.16734025526524
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
accuracy31.40568086473817
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
accuracy0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy0
(*.f64 x x)
accuracy23.28372158522555
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy31.716238890433203
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy3.5695617805349356
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
accuracy3.958269092956848
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
accuracy6.944107672575368
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy19.339237691740287
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Samples
69.0ms256×0valid
Compiler

Compiled 508 to 87 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 31.0ms (58.6% of total)
ival-add: 12.0ms (22.7% of total)
ival-exp: 6.0ms (11.4% of total)
const: 4.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-10.9MiB live, 27.6MiB allocated
Counts
21 → 66
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x x)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(pow x 2)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (pow y 2))
(* x y)
1/2
(+ 1/2 (* 1/6 (* x (pow y 2))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(exp x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* x (pow y 2)))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1/2 (* 1/6 y))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* x y) y) (* x y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2))
2.0ms
y
@inf
((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* x y) y) (* x y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2))
2.0ms
x
@inf
((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* x y) y) (* x y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2))
2.0ms
y
@-inf
((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* x y) y) (* x y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2))
2.0ms
x
@0
((exp (* (* x y) y)) (+ (* (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* y y)) x) (* (* x x) (+ (* (* y y) (* 1/6 x)) 1/2)) (* x x) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* x y) y) (* x y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (+ (* (* y y) (* 1/6 x)) 1/2) (+ (* 1/6 y) 1/2))

simplify186.0ms (0.9%)

Memory
18.4MiB live, 169.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175661
1572654
21692646
34595643
08250575
Stop Event
1×iter limit
1×node limit
Counts
66 → 65
Calls
Call 1
Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(pow x 2)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (pow y 2))
(* x y)
1/2
(+ 1/2 (* 1/6 (* x (pow y 2))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(exp x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* x (pow y 2)))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1/2 (* 1/6 y))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* 1/6 (* (pow x 3) (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x)
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(* 1/6 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) y) y)
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(exp x)
(exp.f64 x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* 1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) x)
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite239.0ms (1.2%)

Memory
-26.1MiB live, 262.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047253
068253
1243253
21738251
08342239
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 327
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x x)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))

eval157.0ms (0.8%)

Memory
15.4MiB live, 100.9MiB allocated
Compiler

Compiled 14 325 to 1 775 computations (87.6% saved)

prune64.0ms (0.3%)

Memory
1.1MiB live, 40.2MiB allocated
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New3758383
Fresh022
Picked235
Done178
Total37820398
Accuracy
100.0%
Counts
398 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
✓61.8%
(exp.f64 y)
✓62.0%
(exp.f64 x)
65.4%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
70.5%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
63.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
62.9%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
61.8%
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
✓62.2%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓13.5%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
✓52.0%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
58.7%
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
✓45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
17.8%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
17.1%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y))) y)))
✓17.1%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
16.1%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
40.6%
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
✓15.6%
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 876 to 396 computations (54.8% saved)

regimes36.0ms (0.2%)

Memory
-19.3MiB live, 53.9MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y))) y)))
(exp.f64 x)
(exp.f64 y)
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
Calls

4 calls:

10.0ms
(*.f64 (*.f64 x y) y)
8.0ms
y
8.0ms
x
6.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(exp.f64 (*.f64 (*.f64 x y) y))
100.0%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes62.0ms (0.3%)

Memory
-0.5MiB live, 43.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y))) y)))
(exp.f64 x)
(exp.f64 y)
Outputs
(exp.f64 x)
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
Calls

4 calls:

41.0ms
x
7.0ms
y
7.0ms
(*.f64 (*.f64 x y) y)
6.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
81.7%2x
80.6%3y
86.4%2(exp.f64 (*.f64 (*.f64 x y) y))
86.4%2(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes46.0ms (0.2%)

Memory
3.4MiB live, 42.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y))) y)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64)))
Calls

4 calls:

26.0ms
y
7.0ms
x
6.0ms
(*.f64 (*.f64 x y) y)
5.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
70.5%1y
70.5%1x
75.3%2(*.f64 (*.f64 x y) y)
75.3%2(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes48.0ms (0.2%)

Memory
1.8MiB live, 38.4MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) y #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Calls

4 calls:

31.0ms
x
6.0ms
y
5.0ms
(*.f64 (*.f64 x y) y)
5.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
64.8%2x
70.9%3y
73.4%3(exp.f64 (*.f64 (*.f64 x y) y))
73.4%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x y) y)
4.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
73.2%3(exp.f64 (*.f64 (*.f64 x y) y))
73.2%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
#s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x y) y)
4.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
72.2%3(exp.f64 (*.f64 (*.f64 x y) y))
72.2%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes26.0ms (0.1%)

Memory
-12.0MiB live, 24.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Calls

3 calls:

16.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
5.0ms
y
4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
67.4%3y
70.3%3(exp.f64 (*.f64 (*.f64 x y) y))
70.3%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x y) y)
3.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
70.2%3(exp.f64 (*.f64 (*.f64 x y) y))
71.8%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes28.0ms (0.1%)

Memory
-39.3MiB live, 12.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
Calls

1 calls:

27.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
70.2%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

2 calls:

3.0ms
(*.f64 (*.f64 x y) y)
3.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
69.6%3(exp.f64 (*.f64 (*.f64 x y) y))
69.6%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

2 calls:

3.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
69.4%3(exp.f64 (*.f64 (*.f64 x y) y))
69.4%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 x y) y)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))
Calls

2 calls:

2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
68.9%3(exp.f64 (*.f64 (*.f64 x y) y))
69.0%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
55.4%2x
59.5%2y
63.6%3(exp.f64 (*.f64 (*.f64 x y) y))
63.6%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.2%)

Memory
-25.8MiB live, 13.0MiB allocated
Accuracy

Total -16.4b remaining (-53.5%)

Threshold costs -16.4b (-53.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Calls

4 calls:

34.0ms
(*.f64 (*.f64 x y) y)
2.0ms
y
2.0ms
x
1.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
52.0%1x
52.0%1y
52.0%1(exp.f64 (*.f64 (*.f64 x y) y))
52.0%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.578052963648375e-32
1.8960828894497795e-28
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.578052963648375e-32
1.8960828894497795e-28
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.578052963648375e-32
1.8960828894497795e-28
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0008727186149318444
177291208585772860.0
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.6948318228829233e+172
4.740154635449013e+183
0.0ms
177291208585772860.0
2.5463104126836497e+26
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0008727186149318444
177291208585772860.0
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
177291208585772860.0
2.5463104126836497e+26
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0008727186149318444
177291208585772860.0
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0008727186149318444
177291208585772860.0
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
177291208585772860.0
2.5463104126836497e+26
0.0ms
-6.632624352250502e+39
-2.413199499064417e+29
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify38.0ms (0.2%)

Memory
13.1MiB live, 50.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117820
1133820
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(exp.f64 (*.f64 (*.f64 y x) y))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 y x) y)) #s(literal 0 binary64)) (exp.f64 x) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/6 binary64)))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 x x)) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) (* 1/6 x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (* (+ (* 1/6 y) 1/2) y) (*.f64 #s(literal 1/2 binary64) y)) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -5000000000000000151893014213501833445376 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 200000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness16.2s (79.5%)

Memory
10.2MiB live, 890.5MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0175661
1572654
21692646
34595643
08250575
0120350
1374338
2995337
33410334
46944334
08181288
047253
068253
1243253
21738251
08342239
0514
0812
11412
22912
39212
44823
539143
090723
079173
1227173
2567173
31476173
42232173
53962173
08079149
04498
112098
232898
380998
4110798
5123598
6131598
7133898
8135298
9269698
10329198
11408298
12507898
13509998
14509998
15533098
16533098
17533098
18533098
19690298
20690298
0690287
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 100 to 402 computations (63.5% saved)

preprocess108.0ms (0.5%)

Memory
-26.4MiB live, 85.8MiB allocated
Remove

(abs y)

Compiler

Compiled 1 676 to 268 computations (84% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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