Logistic function

Time bar (total: 11.2s)

analyze71.0ms (0.6%)

Memory
-20.1MiB live, 63.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (10.1%)

Memory
36.9MiB live, 2 013.2MiB allocated
Samples
824.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 547.0ms
ival-div: 187.0ms (34.2% of total)
const: 137.0ms (25% of total)
ival-exp: 71.0ms (13% of total)
ival-<=: 45.0ms (8.2% of total)
ival-add: 43.0ms (7.9% of total)
ival-neg: 40.0ms (7.3% of total)
ival-and: 11.0ms (2% of total)
exact: 11.0ms (2% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess34.0ms (0.3%)

Memory
11.6MiB live, 49.6MiB allocated
Algorithm
2×egg-herbie
Rules
204×exp-prod
120×times-frac
116×exp-sum
98×associate-/r*
66×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02450
15650
212050
327950
456350
573750
680650
785150
890950
991450
1091550
089
1169
2269
3399
4519
5659
6869
71079
81119
01119
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
Call 2
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/ 1 (+ 1 (exp (/ x (neg s)))))
(/ 1 (+ 1 (exp (/ (neg (neg x)) s))))
(/ 1 (+ 1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg x) (neg s)))))
(/ 1 (+ 1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg (neg x)) s)))))
(/ 1 (- -1 (exp (/ x s))))
(neg (/ 1 (+ 1 (exp (/ (neg x) (neg s))))))
(/ 1 (- -1 (exp (/ x s))))
(/ 1 (+ 1 (exp (/ (neg s) x))))
(/ 1 (+ 1 (exp (/ s (neg x)))))

explain102.0ms (0.9%)

Memory
7.7MiB live, 250.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
11(0.10294164717197418 0.000200757771381177)1(6.436407489816376e-16 1.4490698863214198e-17)(exp.f32 (/.f32 (neg.f32 x) s))
00-0-s
00-0-#s(literal 1 binary32)
00-0-(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
00-0-(neg.f32 x)
00-0-(/.f32 (neg.f32 x) s)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 x) s))sensitivity11
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-11254
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 10.0ms (34.2% of total)
ival-neg: 8.0ms (27.4% of total)
ival-exp: 7.0ms (24% of total)
ival-add: 2.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory
-27.5MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (neg.f32 x) s)
✓cost-diff0
(exp.f32 (/.f32 (neg.f32 x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Rules
32×+-lowering-+.f64
32×*-lowering-*.f32
32×*-lowering-*.f64
32×+-lowering-+.f32
26×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
11630
22630
33930
45130
56530
68630
710730
811130
011130
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
1
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(/ (neg x) s)
(neg x)
x
s
Outputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1
#s(literal 1 binary32)
(+ 1 (exp (/ (neg x) s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(exp (/ (neg x) s))
(exp.f32 (/.f32 x (neg.f32 s)))
(/ (neg x) s)
(/.f32 x (neg.f32 s))
(neg x)
(neg.f32 x)
x
s

localize25.0ms (0.2%)

Memory
30.8MiB live, 69.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 x)
✓accuracy99.9%
(exp.f32 (/.f32 (neg.f32 x) s))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.7% of total)
ival-exp: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-15.4MiB live, 27.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp (/ (neg x) s))))>
#<alt (+ 1 (exp (/ (neg x) s)))>
#<alt (exp (/ (neg x) s))>
#<alt (/ (neg x) s)>
#<alt (neg x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt (exp (* -1 (/ x s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@-inf
(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms
x
@0
(exp (/ (neg x) s))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (/ (neg x) s))))

rewrite306.0ms (2.7%)

Memory
15.3MiB live, 681.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 358×/-lowering-/.f32
4 358×/-lowering-/.f64
3 830×accelerator-lowering-fma.f32
3 830×accelerator-lowering-fma.f64
3 688×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
14327
225027
3209827
0845626
Stop Event
1×iter limit
1×node limit
Counts
5 → 710
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (/ (neg x) s))))
(+ 1 (exp (/ (neg x) s)))
(exp (/ (neg x) s))
(/ (neg x) s)
(neg x)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
(+.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (neg.f32 (/.f32 x s)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
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(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) x) s) (/.f32 x s))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) s) (/.f32 x s))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 x x))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s x)) (/.f32 (*.f32 x x) (*.f32 s x)))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) (*.f32 s (/.f32 s x))) (/.f32 s (*.f32 s (/.f32 s x))))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s s)) (/.f32 (*.f32 s x) (*.f32 s s)))
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 s))) (/.f32 (*.f32 s (neg.f32 x)) (*.f32 s (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x s))) (/.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(/.f32 x (neg.f32 s))
(/.f32 (neg.f32 x) s)
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (neg.f32 s)))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 (neg.f32 s) (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 s (*.f32 x x))))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (*.f32 x x) s)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) s))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 s (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (*.f32 (*.f32 x x) (neg.f32 s))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 (neg.f32 (*.f32 x x)) (*.f32 s x))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s) (*.f32 s (/.f32 s x)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s x)) (*.f32 s s))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x s))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (*.f32 x (neg.f32 s)))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))) (*.f32 s x))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x))) (*.f32 (neg.f32 s) x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (*.f32 s x)))
(/.f32 (/.f32 x #s(literal -1 binary32)) s)
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (+.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x x))) x)
(/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) (*.f32 x x))
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (*.f32 x s)))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s)) (neg.f32 (*.f32 s (/.f32 s x))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s x))) (neg.f32 (*.f32 s s)))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 s (neg.f32 x)))) (neg.f32 (*.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32))) (neg.f32 (*.f32 x (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (neg.f32 (*.f32 s x)))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 s) x)))
(/.f32 (neg.f32 (/.f32 x #s(literal -1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x (*.f32 x x))))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (*.f32 x x)))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 x))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))) #s(literal 0 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (/.f32 x s)) #s(literal 0 binary32)))))
(/.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 #s(literal 0 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 3 binary32)) (neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (neg.f32 (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32))
(*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) s) x)
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (log.f32 (exp.f32 x)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) s))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) s) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x x)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 x x)))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) x)
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 (neg.f32 x) x)))
(log.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (neg.f32 (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (neg.f32 (*.f32 x x)))))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 x x)))
(/.f32 (*.f32 x (*.f32 x x)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(/.f32 (fma.f32 (neg.f32 x) (*.f32 x x) #s(literal 0 binary32)) (fma.f32 x x (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal 0 binary32)))))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))

simplify936.0ms (8.3%)

Memory
-167.5MiB live, 1 145.9MiB allocated
Algorithm
1×egg-herbie
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
4 544×*-lowering-*.f32
4 544×*-lowering-*.f64
2 942×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140758
1378748
21147742
33893722
08438682
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32)) (/.f32 #s(literal -1/48 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 x (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 (/ x s))
(/.f32 x (neg.f32 s))
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)

eval75.0ms (0.7%)

Memory
5.9MiB live, 156.1MiB allocated
Compiler

Compiled 21 079 to 2 698 computations (87.2% saved)

prune119.0ms (1.1%)

Memory
-22.1MiB live, 237.4MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80810818
Fresh000
Picked011
Done000
Total80811819
Accuracy
100.0%
Counts
819 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.2%
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
▶52.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
55.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
62.4%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (neg.f32 (/.f32 x s)))))
▶40.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
▶54.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32))))))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶35.5%
#s(literal 1/2 binary32)
Compiler

Compiled 307 to 214 computations (30.3% saved)

simplify394.0ms (3.5%)

Memory
31.1MiB live, 508.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x)
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s))
✓cost-diff320
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓cost-diff0
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 x s)
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32))))))
✓cost-diff160
(*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32)))
✓cost-diff3200
(log.f32 (E.f32))
Rules
13 248×accelerator-lowering-fma.f32
13 248×accelerator-lowering-fma.f64
2 680×*-lowering-*.f32
2 680×*-lowering-*.f64
1 856×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033241
179231
2170231
3320219
4647219
51206219
62186219
73556219
84886219
96775219
107756219
117986219
08004202
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (* (neg (/ x s)) (log (E))))))
1
(+ 1 (exp (* (neg (/ x s)) (log (E)))))
(exp (* (neg (/ x s)) (log (E))))
(* (neg (/ x s)) (log (E)))
(neg (/ x s))
(/ x s)
x
s
(log (E))
(E)
1/2
(/ 1 (- 2 (/ x s)))
1
(- 2 (/ x s))
2
(/ x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
1
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(/ x s)
x
s
(+ (* 1/2 (/ x s)) -1)
1/2
-1
2
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
1
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
2
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(/ (* x (* x x)) s)
(* x (* x x))
x
(* x x)
s
-1/6
(* 1/2 (* x x))
1/2
Outputs
(/ 1 (+ 1 (exp (* (neg (/ x s)) (log (E))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
1
#s(literal 1 binary32)
(+ 1 (exp (* (neg (/ x s)) (log (E)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(exp (* (neg (/ x s)) (log (E))))
(exp.f32 (neg.f32 (/.f32 x s)))
(* (neg (/ x s)) (log (E)))
(neg.f32 (/.f32 x s))
(neg (/ x s))
(neg.f32 (/.f32 x s))
(/ x s)
(/.f32 x s)
x
s
(log (E))
#s(literal 1 binary32)
(E)
(E.f32)
1/2
#s(literal 1/2 binary32)
(/ 1 (- 2 (/ x s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
1
#s(literal 1 binary32)
(- 2 (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
2
#s(literal 2 binary32)
(/ x s)
(/.f32 x s)
x
s
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
x
s
(+ (* 1/2 (/ x s)) -1)
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
1/2
#s(literal 1/2 binary32)
-1
#s(literal -1 binary32)
2
#s(literal 2 binary32)
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)
(*.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(*.f32 (/.f32 x s) (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
s
-1/6
#s(literal -1/6 binary32)
(* 1/2 (* x x))
(*.f32 #s(literal 1/2 binary32) (*.f32 x x))
1/2
#s(literal 1/2 binary32)

localize116.0ms (1%)

Memory
3.5MiB live, 197.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
✓accuracy93.5%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy91.8%
(/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
✓accuracy86.4%
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.5%
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓accuracy99.4%
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
✓accuracy100.0%
(/.f32 x s)
✓accuracy99.9%
(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓accuracy95.9%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓accuracy99.9%
(exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32))))
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32))))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32)))))
✓accuracy96.9%
(log.f32 (E.f32))
Samples
72.0ms256×0valid
Compiler

Compiled 251 to 35 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 23.0ms (41.2% of total)
ival-mult: 10.0ms (17.9% of total)
ival-add: 6.0ms (10.7% of total)
ival-e: 5.0ms (9% of total)
const: 4.0ms (7.2% of total)
ival-log: 3.0ms (5.4% of total)
ival-exp: 2.0ms (3.6% of total)
ival-sub: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory
-3.0MiB live, 152.7MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#<alt (log (E))>
#<alt (* (neg (/ x s)) (log (E)))>
#<alt (/ 1 (+ 1 (exp (* (neg (/ x s)) (log (E))))))>
#<alt (+ 1 (exp (* (neg (/ x s)) (log (E)))))>
#<alt (/ 1 (- 2 (/ x s)))>
#<alt (- 2 (/ x s))>
#<alt (/ x s)>
#<alt (/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))>
#<alt (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)>
#<alt (+ (* 1/2 (/ x s)) -1)>
#<alt (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))>
#<alt (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))>
#<alt (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)>
#<alt (/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))>
#<alt (exp (* (neg (/ x s)) (log (E))))>
#<alt (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)>
#<alt (/ (* x (* x x)) s)>
Outputs
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt (* -1 (/ (* x (log (E))) s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (* x (log (E))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt (+ 1 (exp (* -1 (/ (* x (log (E))) s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* x (+ (* 1/16 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))>
#<alt (* -1 (/ s x))>
#<alt (/ (+ (* -2 (/ (pow s 2) x)) (* -1 s)) x)>
#<alt (/ (- (+ (* -4 (/ (pow s 3) (pow x 2))) (* -1 s)) (* 2 (/ (pow s 2) x))) x)>
#<alt (/ (- (+ (* -8 (/ (pow s 4) (pow x 3))) (* -1 s)) (+ (* 2 (/ (pow s 2) x)) (* 4 (/ (pow s 3) (pow x 2))))) x)>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ (+ s (* 2 (/ (pow s 2) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -4 (/ (pow s 3) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ (+ s (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow s 4) x)) (* -4 (pow s 3))) x)) (* 2 (pow s 2))) x))) x))>
#<alt (* -1 (/ s x))>
#<alt (* s (- (* -2 (/ s (pow x 2))) (/ 1 x)))>
#<alt (* s (- (* s (- (* -4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt (* s (- (* s (- (* s (- (* -8 (/ s (pow x 4))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x 3) (pow s 3)))) (+ (* -1/4 (/ x s)) (* -1/8 (/ (pow x 2) (pow s 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow x 2) s)) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow x 3) s)) (* -1/8 (pow x 2))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* x (- (* 2 (/ 1 x)) (/ 1 s)))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))>
#<alt (* -1 (/ x s))>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt (/ (- (* 2 s) x) s)>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* -1/32 (/ x (pow s 4))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2 (pow s 2)) (* 4 (/ (pow s 3) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (pow s 4) x)) (* 8 (/ (pow s 4) x))) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 4 (/ s (pow x 3))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* -1/16 (/ (pow x 3) s))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (/ x s))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))>
#<alt (* 1/2 (/ x s))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))>
#<alt (* 1/2 (/ x s))>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt (/ (+ (* -1 s) (* 1/2 x)) s)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt -1>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (- (* 1/2 (/ x s)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt (exp (* -1 (/ (* x (log (E))) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (log (E))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
Calls

96 calls:

TimeVariablePointExpression
45.0ms
x
@0
(* (neg (/ x s)) (log (E)))
10.0ms
s
@0
(* (neg (/ x s)) (log (E)))
3.0ms
s
@inf
(* (neg (/ x s)) (log (E)))
2.0ms
s
@0
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
1.0ms
s
@inf
(/ 1 (+ 1 (exp (* (neg (/ x s)) (log (E))))))

rewrite395.0ms (3.5%)

Memory
11.9MiB live, 555.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 602×/-lowering-/.f32
4 602×/-lowering-/.f64
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
3 370×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033178
1217170
21865170
08831160
Stop Event
1×iter limit
1×node limit
Counts
17 → 609
Calls
Call 1
Inputs
(log (E))
(* (neg (/ x s)) (log (E)))
(/ 1 (+ 1 (exp (* (neg (/ x s)) (log (E))))))
(+ 1 (exp (* (neg (/ x s)) (log (E)))))
(/ 1 (- 2 (/ x s)))
(- 2 (/ x s))
(/ x s)
(/ 1 (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2))
(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
(+ (* 1/2 (/ x s)) -1)
(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
(- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x)
(/ 1 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)))
(exp (* (neg (/ x s)) (log (E))))
(/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s)
(/ (* x (* x x)) s)
Outputs
#s(literal 1 binary32)
(neg.f32 (/.f32 x s))
(neg.f32 (log.f32 (exp.f32 (/.f32 x s))))
(+.f32 (neg.f32 (/.f32 x s)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 (/.f32 x s)))
(+.f32 (log.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)))) (log.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 1/2 binary32)))))
(pow.f32 (neg.f32 (/.f32 s x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1 binary32))
(pow.f32 (/.f32 s (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (/.f32 x s)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 x s)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 (/.f32 x s))))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 x s))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 s))) (/.f32 x (neg.f32 (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 0 binary32) (/.f32 x s))))) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x s))) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 x (neg.f32 s))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s x)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) x))
(/.f32 #s(literal 1 binary32) (/.f32 s (neg.f32 x)))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 s x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (neg.f32 x))))
(/.f32 (neg.f32 x) s)
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
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(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s)
(/.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))) (neg.f32 s))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (*.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 s (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s))
(/.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) (neg.f32 (*.f32 s (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) (neg.f32 (*.f32 s (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))))
(/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s)))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)))
(/.f32 (neg.f32 (*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s))
(*.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) (/.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 s (*.f32 s s))) #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(*.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(*.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (-.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(neg.f32 (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(neg.f32 (/.f32 (neg.f32 (*.f32 x (*.f32 x x))) s))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (*.f32 x (*.f32 x x)) (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 x (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (*.f32 x (*.f32 x x))) #s(literal 1 binary32))))
(/.f32 (*.f32 x (*.f32 x x)) s)
(/.f32 (neg.f32 (*.f32 x (*.f32 x x))) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x)))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x x))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(*.f32 x (/.f32 (*.f32 x x) s))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))
(*.f32 (*.f32 x x) (/.f32 x s))
(*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x x) s) x)
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (*.f32 x x) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (neg.f32 (*.f32 x x)) s))
(*.f32 (/.f32 (*.f32 x x) #s(literal -1 binary32)) (neg.f32 (/.f32 x s)))
(*.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 x s))

simplify362.0ms (3.2%)

Memory
7.8MiB live, 534.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 572×accelerator-lowering-fma.f32
7 572×accelerator-lowering-fma.f64
4 972×*-lowering-*.f32
4 972×*-lowering-*.f64
2 194×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06884471
121533904
267543826
084033632
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
(* -1 (/ (* x (log (E))) s))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
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1/2
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(- (+ 1/2 (* 1/8 (/ (pow x 2) (pow s 2)))) (* -1/4 (/ x s)))
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1/2
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2
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(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
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2
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(/ x s)
(/ x s)
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(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
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1/2
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(* 2 (/ (pow s 2) (pow x 2)))
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(/ (- (+ (* -1 (/ (+ (* -8 (pow s 4)) (* 8 (pow s 4))) (pow x 2))) (* 2 (pow s 2))) (* -4 (/ (pow s 3) x))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4))))) (* 16 (pow s 5))) (pow x 3))) (* 2 (pow s 2))) (+ (* -8 (/ (pow s 4) (pow x 2))) (+ (* -4 (/ (pow s 3) x)) (* 8 (/ (pow s 4) (pow x 2)))))) (pow x 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow s 5) x)) (* -2 (/ (* s (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x))) (+ (* -8 (pow s 4)) (* 8 (pow s 4)))) x)) (* 4 (pow s 3))) x)) (* 2 (pow s 2))) (pow x 2))
(* 2 (/ (pow s 2) (pow x 2)))
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(* (pow s 2) (+ (* s (+ (* -16 (/ (pow s 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (* s (+ (* (pow s 2) (- (* -32 (/ s (pow x 6))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
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2
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(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
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2
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-1
(- (* 1/2 (/ x s)) 1)
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(- (* 1/2 (/ x s)) 1)
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(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
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2
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(* -1/6 (/ (pow x 3) (pow s 3)))
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(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
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(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
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(* -1 x)
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(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
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(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
1
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(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
1
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
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(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
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(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
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(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
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(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
Outputs
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
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(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
(* -1 (/ (* x (log (E))) s))
(/.f32 x (neg.f32 s))
1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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(/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) s)) (neg.f32 s))
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)

eval170.0ms (1.5%)

Memory
-1.8MiB live, 222.9MiB allocated
Compiler

Compiled 27 313 to 3 199 computations (88.3% saved)

prune154.0ms (1.4%)

Memory
-37.0MiB live, 354.7MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1 122211 143
Fresh145
Picked235
Done011
Total1 125291 154
Accuracy
100.0%
Counts
1 154 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.2%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
32.8%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
▶17.1%
(/.f32 s (neg.f32 x))
✓52.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
50.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
54.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
40.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
55.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
52.8%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
31.6%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
32.8%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
62.4%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (neg.f32 (/.f32 x s)))))
18.7%
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
55.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
✓40.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) s) #s(literal 2 binary32)))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
▶53.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶32.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
▶33.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
27.9%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
30.6%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓35.5%
#s(literal 1/2 binary32)
Compiler

Compiled 944 to 612 computations (35.2% saved)

simplify302.0ms (2.7%)

Memory
16.3MiB live, 320.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 x (*.f32 x x))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓cost-diff544
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s))
✓cost-diff192
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)
✓cost-diff0
(/.f32 x (*.f32 s s))
✓cost-diff0
(*.f32 x (/.f32 x (*.f32 s s)))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
✓cost-diff0
(neg.f32 x)
✓cost-diff0
(/.f32 s (neg.f32 x))
✓cost-diff0
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
✓cost-diff64
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))
Rules
3 438×*-lowering-*.f32
3 438×*-lowering-*.f64
3 386×accelerator-lowering-fma.f32
3 386×accelerator-lowering-fma.f64
1 970×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036269
193255
2252249
3670239
41211239
51841237
62947237
73316237
83700237
93833237
103926237
114012237
126464237
137125237
147762237
08038233
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))
1
(+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s)))))
(pow (sqrt (E)) (* 2 (neg (/ x s))))
(sqrt (E))
(E)
(* 2 (neg (/ x s)))
2
(neg (/ x s))
(/ x s)
x
s
(/ s (neg x))
s
(neg x)
x
(/ 1 (* 1/2 (* x (/ x (* s s)))))
1
(* 1/2 (* x (/ x (* s s))))
1/2
(* x (/ x (* s s)))
x
(/ x (* s s))
(* s s)
s
(/ 1 (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s)))
1
(+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s))
2
(/ (* -1/6 (* x (* x (/ x (* s s))))) s)
(* -1/6 (* x (* x (/ x (* s s)))))
-1/6
(* x (* x (/ x (* s s))))
x
(* x (/ x (* s s)))
(/ x (* s s))
(* s s)
s
(/ 1 (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))))
1
(* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s)))))
(* x (* x x))
x
(* x x)
(+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))
(/ 1/2 (* s (* x s)))
1/2
(* s (* x s))
s
(* x s)
(/ -1/6 (* s (* s s)))
-1/6
(* s (* s s))
(* s s)
Outputs
(/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s)))))
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(pow (sqrt (E)) (* 2 (neg (/ x s))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(sqrt (E))
(sqrt.f32 (E.f32))
(E)
(E.f32)
(* 2 (neg (/ x s)))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
2
#s(literal 2 binary32)
(neg (/ x s))
(neg.f32 (/.f32 x s))
(/ x s)
(/.f32 x s)
x
s
(/ s (neg x))
(/.f32 s (neg.f32 x))
s
(neg x)
(neg.f32 x)
x
(/ 1 (* 1/2 (* x (/ x (* s s)))))
(/.f32 (*.f32 s s) (*.f32 x (*.f32 x #s(literal 1/2 binary32))))
1
#s(literal 1 binary32)
(* 1/2 (* x (/ x (* s s))))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(* x (/ x (* s s)))
(/.f32 (*.f32 x x) (*.f32 s s))
x
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ 1 (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (* -1/6 (* x (* x (/ x (* s s))))) s)
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(* -1/6 (* x (* x (/ x (* s s)))))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s))
-1/6
#s(literal -1/6 binary32)
(* x (* x (/ x (* s s))))
(/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s))
x
(* x (/ x (* s s)))
(/.f32 (*.f32 x x) (*.f32 s s))
(/ x (* s s))
(/.f32 x (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ 1 (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))))
(/.f32 (*.f32 s s) (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))))
1
#s(literal 1 binary32)
(* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s)))))
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (*.f32 s s))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
(/ 1/2 (* s (* x s)))
(/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 s s)))
1/2
#s(literal 1/2 binary32)
(* s (* x s))
(*.f32 x (*.f32 s s))
s
(* x s)
(*.f32 x s)
(/ -1/6 (* s (* s s)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
-1/6
#s(literal -1/6 binary32)
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)

localize146.0ms (1.3%)

Memory
29.2MiB live, 338.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
✓accuracy98.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
✓accuracy82.7%
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))
✓accuracy70.6%
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
✓accuracy96.3%
(*.f32 x (/.f32 x (*.f32 s s)))
✓accuracy95.6%
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)
✓accuracy91.0%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s))))
✓accuracy98.3%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
✓accuracy96.3%
(*.f32 x (/.f32 x (*.f32 s s)))
✓accuracy91.0%
(/.f32 x (*.f32 s s))
✓accuracy100.0%
(/.f32 s (neg.f32 x))
✓accuracy100.0%
(neg.f32 x)
✓accuracy100.0%
(E.f32)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s)))))
✓accuracy99.9%
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))
Samples
94.0ms256×0valid
Compiler

Compiled 289 to 38 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 28.0ms (36.3% of total)
ival-div: 24.0ms (31.1% of total)
ival-add: 7.0ms (9.1% of total)
ival-pow: 6.0ms (7.8% of total)
const: 4.0ms (5.2% of total)
ival-e: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-neg: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-0.3MiB live, 116.4MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#<alt (* 2 (neg (/ x s)))>
#<alt (/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))>
#<alt (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s)))))>
#<alt (pow (sqrt (E)) (* 2 (neg (/ x s))))>
#<alt (/ s (neg x))>
#<alt (neg x)>
#<alt (/ 1 (* 1/2 (* x (/ x (* s s)))))>
#<alt (* 1/2 (* x (/ x (* s s))))>
#<alt (* x (/ x (* s s)))>
#<alt (/ x (* s s))>
#<alt (/ (* -1/6 (* x (* x (/ x (* s s))))) s)>
#<alt (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s))>
#<alt (/ 1 (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s)))>
#<alt (* -1/6 (* x (* x (/ x (* s s)))))>
#<alt (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s)))))>
#<alt (/ 1 (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (E)>
#<alt (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))>
#<alt (/ -1/6 (* s (* s s)))>
Outputs
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
#<alt (* -2 (/ x s))>
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#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))>
#<alt (/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -54 (/ (pow s 5) x)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))>
#<alt (/ 1/2 (* (pow s 2) x))>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
#<alt (/ -1/6 (pow s 3))>
Calls

108 calls:

TimeVariablePointExpression
8.0ms
s
@0
(/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))
2.0ms
x
@inf
(/ 1 (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))))
2.0ms
s
@inf
(/ 1 (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s)))
2.0ms
x
@-inf
(/ x (* s s))
1.0ms
s
@inf
(/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))

rewrite384.0ms (3.4%)

Memory
-0.5MiB live, 878.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 968×/-lowering-/.f32
4 968×/-lowering-/.f64
3 738×*-lowering-*.f32
3 738×*-lowering-*.f64
3 620×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036192
1223172
21944151
08822146
Stop Event
1×iter limit
1×node limit
Counts
21 → 978
Calls
Call 1
Inputs
(* 2 (neg (/ x s)))
(/ 1 (+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s))))))
(+ 1 (pow (sqrt (E)) (* 2 (neg (/ x s)))))
(pow (sqrt (E)) (* 2 (neg (/ x s))))
(/ s (neg x))
(neg x)
(/ 1 (* 1/2 (* x (/ x (* s s)))))
(* 1/2 (* x (/ x (* s s))))
(* x (/ x (* s s)))
(/ x (* s s))
(/ (* -1/6 (* x (* x (/ x (* s s))))) s)
(+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s))
(/ 1 (+ 2 (/ (* -1/6 (* x (* x (/ x (* s s))))) s)))
(* -1/6 (* x (* x (/ x (* s s)))))
(* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s)))))
(/ 1 (* (* x (* x x)) (+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))))
(* x (* x x))
(* x x)
(E)
(+ (/ 1/2 (* s (* x s))) (/ -1/6 (* s (* s s))))
(/ -1/6 (* s (* s s)))
Outputs
(neg.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal 2 binary32) (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 x) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (neg.f32 s))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) s)
(/.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 x #s(literal 2 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
(*.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s)))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 x (neg.f32 s)))) (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/3 binary32)) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))) (pow.f32 (exp.f32 #s(literal 1/6 binary32)) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))) (pow.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (+.f32 (/.f32 x (neg.f32 s)) (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)) (/.f32 (/.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(-.f32 (/.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (expm1.f32 (/.f32 x (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
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(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 (*.f32 s (*.f32 x s)) #s(literal 2 binary32)) (*.f32 (*.f32 s s) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 (*.f32 s (*.f32 x s)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 s (*.f32 x s)) (*.f32 (*.f32 s s) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 s (*.f32 x s)))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (neg.f32 (*.f32 s (*.f32 x s))) (*.f32 (*.f32 s s) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (*.f32 s s) (neg.f32 (*.f32 s (*.f32 x s))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x s) (*.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) s)))) (neg.f32 (*.f32 (*.f32 s s) (*.f32 x s))))
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(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 x s)))) (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 s s))))))) (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))))
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(/.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) s) s)
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(/.f32 (neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s s))) (neg.f32 s))
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(*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (*.f32 s s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 s s) #s(literal -1/6 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s s)))

simplify376.0ms (3.3%)

Memory
-14.0MiB live, 667.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 380×accelerator-lowering-fma.f32
7 380×accelerator-lowering-fma.f64
5 998×*-lowering-*.f32
5 998×*-lowering-*.f64
2 466×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04664543
113164423
244274208
081254085
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
1/2
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(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
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1/2
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1/2
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2
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2
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1
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1
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(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ (pow x 2) (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1/6 (/ (pow x 3) (pow s 3)))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
2
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
(+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))
(+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))
(/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))
(- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))
1/2
(+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 2 (/ (pow s 2) (pow x 2)))
(/ (+ (* 2/3 (* s x)) (* 2 (pow s 2))) (pow x 2))
(/ (+ (* 2 (pow s 2)) (* x (- (* 2/9 x) (* -2/3 s)))) (pow x 2))
(/ (+ (* 2 (pow s 2)) (* x (- (* x (+ 2/9 (* 2/27 (/ x s)))) (* -2/3 s)))) (pow x 2))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -54 (/ (pow s 5) (pow x 2))) (* -6 (pow s 3))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -162 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -54 (/ (pow s 5) x)) (* -18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -18 (pow s 4)) (* -1 (/ (+ (* 54 (pow s 5)) (* 162 (/ (pow s 6) x))) x))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -6 (/ (pow s 3) (pow x 3)))
(* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* -54 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* (pow s 3) (- (* s (- (* s (- (* -162 (/ s (pow x 6))) (* 54 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* 2/27 (/ x (pow s 3))) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2)))))))
(* 2 (/ (pow s 2) (pow x 2)))
(* (pow s 2) (+ (* 2/3 (/ 1 (* s x))) (* 2 (/ 1 (pow x 2)))))
(* (pow s 2) (+ (/ 2/9 (pow s 2)) (+ (/ 2/3 (* s x)) (* 2 (/ 1 (pow x 2))))))
(* (pow s 2) (+ (* -1 (/ (- (* -1 (/ (+ 2/9 (* 2/27 (/ x s))) s)) (* 2/3 (/ 1 x))) s)) (* 2 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
(/ -1/6 (pow s 3))
Outputs
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 (/ x s))
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (+ (* 1/2 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (/ (* (log (sqrt (E))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))) s))))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))
(fma.f32 x (fma.f32 x (fma.f32 (neg.f32 x) (*.f32 (pow.f32 (/.f32 (log.f32 (sqrt.f32 (E.f32))) s) #s(literal 3 binary32)) #s(literal 1/6 binary32)) #s(literal 0 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (E.f32)))) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) (pow s 2)))) (* -1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/3 (* (pow x 3) (pow (log (sqrt (E))) 3))) (+ (* 1/2 (* (pow x 3) (pow (log (sqrt (E))) 3))) (* x (* (log (sqrt (E))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))))))) (pow s 3)))) (+ (* -1/2 (/ (* x (log (sqrt (E)))) s)) (+ (* -1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))) (* 1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))
(fma.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (E.f32)))) s) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1/6 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
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(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) (*.f32 s s))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))
(/ -1/6 (pow s 3))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))

eval186.0ms (1.7%)

Memory
-8.1MiB live, 293.1MiB allocated
Compiler

Compiled 34 419 to 4 144 computations (88% saved)

prune226.0ms (2%)

Memory
-14.1MiB live, 469.5MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New1 525191 544
Fresh41620
Picked325
Done044
Total1 532411 573
Accuracy
100.0%
Counts
1 573 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.2%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
19.4%
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
32.8%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.9%
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
✓17.1%
(/.f32 s (neg.f32 x))
31.9%
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
✓52.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
50.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
▶54.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
49.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
47.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
52.5%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) s) #s(literal 2 binary32)))
40.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
55.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
33.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
32.8%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
22.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s)))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
62.4%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (neg.f32 (/.f32 x s)))))
55.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
✓40.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) s) #s(literal 2 binary32)))
▶50.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
▶99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
25.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))))
▶33.4%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
24.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))))
33.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x s) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x s) #s(literal -1/6 binary32)))))))
33.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
✓33.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
18.7%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
21.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s))))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))
30.7%
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
27.9%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
▶17.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
30.6%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓35.5%
#s(literal 1/2 binary32)
Compiler

Compiled 1 531 to 917 computations (40.1% saved)

simplify325.0ms (2.9%)

Memory
19.3MiB live, 446.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
✓cost-diff64
(-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x)
✓cost-diff160
(fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32))
✓cost-diff320
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32)))
✓cost-diff0
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
✓cost-diff64
(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s))
✓cost-diff192
(/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)
✓cost-diff0
(*.f32 x #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 (*.f32 x #s(literal 1/2 binary32)) x)
✓cost-diff160
(*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
✓cost-diff0
(/.f32 #s(literal -1 binary32) x)
✓cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓cost-diff0
(sqrt.f32 (E.f32))
✓cost-diff0
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
Rules
9 732×accelerator-lowering-fma.f32
9 732×accelerator-lowering-fma.f64
3 712×*-lowering-*.f32
3 712×*-lowering-*.f64
1 432×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041292
191277
2224275
3603265
41499259
52039259
62781259
74840259
86838259
08060247
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (sqrt (E)) (/ (* -2 x) s))))
1
(+ 1 (pow (sqrt (E)) (/ (* -2 x) s)))
(pow (sqrt (E)) (/ (* -2 x) s))
(sqrt (E))
(E)
(/ (* -2 x) s)
(* -2 x)
-2
x
s
(* (/ -1 x) s)
(/ -1 x)
-1
x
s
(/ 1 (* (* (* x 1/2) x) (/ 1 (* s s))))
1
(* (* (* x 1/2) x) (/ 1 (* s s)))
(* (* x 1/2) x)
(* x 1/2)
x
1/2
(/ 1 (* s s))
(* s s)
s
(/ 1 (+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s)))
1
(+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s))
2
(/ (/ (* x (* (* x x) -1/6)) (* s s)) s)
(/ (* x (* (* x x) -1/6)) (* s s))
(* x (* (* x x) -1/6))
x
(* (* x x) -1/6)
(* x x)
-1/6
(* s s)
s
(/ 1 (+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2))
1
(+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2)
(/ 1 s)
s
(- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)
(/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s)
(+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6))
x
(* x 1/2)
1/2
(* (/ (* x (* x x)) s) -1/6)
(/ (* x (* x x)) s)
(* x (* x x))
(* x x)
-1/6
2
Outputs
(/ 1 (+ 1 (pow (sqrt (E)) (/ (* -2 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
1
#s(literal 1 binary32)
(+ 1 (pow (sqrt (E)) (/ (* -2 x) s)))
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s)))
(pow (sqrt (E)) (/ (* -2 x) s))
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))
(sqrt (E))
(sqrt.f32 (E.f32))
(E)
(E.f32)
(/ (* -2 x) s)
(/.f32 (*.f32 #s(literal -2 binary32) x) s)
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
-2
#s(literal -2 binary32)
x
s
(* (/ -1 x) s)
(/.f32 s (neg.f32 x))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
-1
#s(literal -1 binary32)
x
s
(/ 1 (* (* (* x 1/2) x) (/ 1 (* s s))))
(*.f32 s (*.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x x))))
1
#s(literal 1 binary32)
(* (* (* x 1/2) x) (/ 1 (* s s)))
(/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s))
(* (* x 1/2) x)
(*.f32 x (*.f32 x #s(literal 1/2 binary32)))
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
x
1/2
#s(literal 1/2 binary32)
(/ 1 (* s s))
(/.f32 #s(literal 1 binary32) (*.f32 s s))
(* s s)
(*.f32 s s)
s
(/ 1 (+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s))
(fma.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (/ (* x (* (* x x) -1/6)) (* s s)) s)
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s)))
(/ (* x (* (* x x) -1/6)) (* s s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s s))
(* x (* (* x x) -1/6))
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))
x
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
(* s s)
(*.f32 s s)
s
(/ 1 (+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2)
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
s
(- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)
(*.f32 x (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) s)
(+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6))
(*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
x
(* x 1/2)
(*.f32 x #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(* (/ (* x (* x x)) s) -1/6)
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(/ (* x (* x x)) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
2
#s(literal 2 binary32)

localize168.0ms (1.5%)

Memory
-0.8MiB live, 279.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
✓accuracy93.5%
(/.f32 (*.f32 x (*.f32 x x)) s)
✓accuracy91.8%
(/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s)
✓accuracy99.0%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy98.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
✓accuracy95.6%
(/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)
✓accuracy80.2%
(/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s))
✓accuracy100.0%
(*.f32 s s)
✓accuracy99.6%
(/.f32 #s(literal 1 binary32) (*.f32 s s))
✓accuracy98.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
✓accuracy77.8%
(*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s)))
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) x)
✓accuracy99.4%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
✓accuracy100.0%
(E.f32)
✓accuracy99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s)))
✓accuracy99.9%
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))
Samples
90.0ms256×0valid
Compiler

Compiled 313 to 43 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 28.0ms (39.2% of total)
ival-mult: 22.0ms (30.8% of total)
ival-pow: 6.0ms (8.4% of total)
ival-add: 5.0ms (7% of total)
const: 4.0ms (5.6% of total)
ival-e: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
0.9MiB live, 40.0MiB allocated
Counts
25 → 480
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (pow (sqrt (E)) (/ (* -2 x) s))))>
#<alt (+ 1 (pow (sqrt (E)) (/ (* -2 x) s)))>
#<alt (pow (sqrt (E)) (/ (* -2 x) s))>
#<alt (sqrt (E))>
#<alt (* (/ -1 x) s)>
#<alt (/ -1 x)>
#<alt (/ 1 (* (* (* x 1/2) x) (/ 1 (* s s))))>
#<alt (* (* (* x 1/2) x) (/ 1 (* s s)))>
#<alt (* (* x 1/2) x)>
#<alt (* x 1/2)>
#<alt (/ (/ (* x (* (* x x) -1/6)) (* s s)) s)>
#<alt (+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s))>
#<alt (/ 1 (+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s)))>
#<alt (/ (* x (* (* x x) -1/6)) (* s s))>
#<alt (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6))>
#<alt (+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2)>
#<alt (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)>
#<alt (/ 1 (+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2))>
#<alt (E)>
#<alt (/ 1 (* s s))>
#<alt (* s s)>
#<alt (* (* x x) -1/6)>
#<alt (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s)>
#<alt (/ (* x (* x x)) s)>
#<alt (* (/ (* x (* x x)) s) -1/6)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 1/2 (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (+ (* 1/2 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (/ (* (log (sqrt (E))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))) s))))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt (/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) (pow s 2)))) (* -1/2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/3 (* (pow x 3) (pow (log (sqrt (E))) 3))) (+ (* 1/2 (* (pow x 3) (pow (log (sqrt (E))) 3))) (* x (* (log (sqrt (E))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))))))) (pow s 3)))) (+ (* -1/2 (/ (* x (log (sqrt (E)))) s)) (+ (* -1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))) (* 1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s)) (* 1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s))) (* 1/2 (* x (log (sqrt (E)))))) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (log (sqrt (E))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))))) s)) (+ (* -1/2 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)) (* 1/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))))) s)) (* 1/2 (* x (log (sqrt (E)))))) s)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 2 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* 2 (/ (* x (pow (log (sqrt (E))) 2)) (pow s 2))))))>
#<alt (+ 2 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* x (+ (* -4/3 (/ (* x (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 2 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2)))))>
#<alt (+ 2 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s)) (* 2 (* x (log (sqrt (E)))))) s)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) s)) (* 2 (* x (log (sqrt (E)))))) s)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 1 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* 2 (/ (* x (pow (log (sqrt (E))) 2)) (pow s 2))))))>
#<alt (+ 1 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* x (+ (* -4/3 (/ (* x (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))))))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (exp (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 1 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2)))))>
#<alt (+ 1 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* x (log (sqrt (E)))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s)) (* 2 (* x (log (sqrt (E)))))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) s)) (* 2 (* x (log (sqrt (E)))))) s)))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (* -1 (/ s x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 2 (/ (pow s 2) (pow x 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (/ (pow x 2) (pow s 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 2 (pow s 3))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt (+ 2 (* -1/6 (/ (pow x 3) (pow s 3))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* 1/288 (/ (pow x 3) (pow s 6))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (+ 1/2 (* (pow x 3) (+ (* (pow x 3) (+ (* 1/3456 (/ (pow x 3) (pow s 9))) (* 1/288 (/ 1 (pow s 6))))) (* 1/24 (/ 1 (pow s 3))))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -72 (/ (pow s 6) (pow x 3))) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -864 (/ (pow s 9) (pow x 6))) (* -6 (pow s 3))) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3))>
#<alt (/ (- (+ (* -10368 (/ (pow s 12) (pow x 9))) (* -6 (pow s 3))) (+ (* 72 (/ (pow s 6) (pow x 3))) (* 864 (/ (pow s 9) (pow x 6))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 72 (/ (pow s 6) (pow x 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -864 (/ (pow s 9) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 10368 (/ (pow s 12) (pow x 3))) (* -864 (pow s 9))) (pow x 3))) (* 72 (pow s 6))) (pow x 3))) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -72 (/ (pow s 3) (pow x 6))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* -864 (/ (pow s 3) (pow x 9))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* (pow s 3) (- (* (pow s 3) (- (* -10368 (/ (pow s 3) (pow x 12))) (* 864 (/ 1 (pow x 9))))) (* 72 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/288 (/ (pow x 6) (pow s 6)))) (* -1/24 (/ (pow x 3) (pow s 3))))>
#<alt (- (+ 1/2 (* 1/3456 (/ (pow x 9) (pow s 9)))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* -1/288 (/ (pow x 6) (pow s 6)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (/ (pow x 3) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/288 (/ (pow x 6) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/3456 (/ (pow x 9) (pow s 3))) (* -1/288 (pow x 6))) (pow s 3))) (* 1/24 (pow x 3))) (pow s 3))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ x s)) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* (pow s 3) (- (* -18 (/ s (pow x 4))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* -18 (/ s (pow x 5))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt (* (pow s 3) (- (* s (- (* s (- (* -18 (/ s (pow x 6))) (* 18 (/ 1 (pow x 5))))) (* 18 (/ 1 (pow x 4))))) (* 6 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))>
#<alt (/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))>
#<alt (* -6 (/ (pow s 3) (pow x 3)))>
#<alt (* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (/ 1 (pow s 2))>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (pow s 2)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (/ (pow x 3) s)>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
#<alt (* -1/6 (/ (pow x 3) s))>
Calls

120 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (/ (* x (* x x)) s) -1/6)
0.0ms
x
@inf
(* (/ (* x (* x x)) s) -1/6)
0.0ms
x
@-inf
(* x 1/2)
0.0ms
x
@inf
(* (* x 1/2) x)
0.0ms
x
@inf
(/ -1 x)

rewrite576.0ms (5.1%)

Memory
2.7MiB live, 827.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 384×*-lowering-*.f32
5 384×*-lowering-*.f64
4 272×/-lowering-/.f32
4 272×/-lowering-/.f64
4 048×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041235
1243214
21939214
08925207
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 117
Calls
Call 1
Inputs
(/ 1 (+ 1 (pow (sqrt (E)) (/ (* -2 x) s))))
(+ 1 (pow (sqrt (E)) (/ (* -2 x) s)))
(pow (sqrt (E)) (/ (* -2 x) s))
(sqrt (E))
(* (/ -1 x) s)
(/ -1 x)
(/ 1 (* (* (* x 1/2) x) (/ 1 (* s s))))
(* (* (* x 1/2) x) (/ 1 (* s s)))
(* (* x 1/2) x)
(* x 1/2)
(/ (/ (* x (* (* x x) -1/6)) (* s s)) s)
(+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s))
(/ 1 (+ 2 (/ (/ (* x (* (* x x) -1/6)) (* s s)) s)))
(/ (* x (* (* x x) -1/6)) (* s s))
(+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6))
(+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2)
(- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)
(/ 1 (+ (* (/ 1 s) (- (/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s) x)) 2))
(E)
(/ 1 (* s s))
(* s s)
(* (* x x) -1/6)
(/ (+ (* x (* x 1/2)) (* (/ (* x (* x x)) s) -1/6)) s)
(/ (* x (* x x)) s)
(* (/ (* x (* x x)) s) -1/6)
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 x s))) #s(literal 1 binary32))
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simplify765.0ms (6.8%)

Memory
36.0MiB live, 832.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 564×accelerator-lowering-fma.f32
9 564×accelerator-lowering-fma.f64
6 214×*-lowering-*.f32
6 214×*-lowering-*.f64
3 214×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06205236
118205053
261944821
087264658
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/96 (/ x (pow s 4))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -6 (/ (pow s 3) (pow x 3)))
(/ (+ (* -18 (/ (pow s 4) x)) (* -6 (pow s 3))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -36 (pow s 5)) (* 54 (pow s 5))) (pow x 2)))) (* 18 (/ (pow s 4) x))) (pow x 3))
(/ (- (+ (* -6 (pow s 3)) (* -1 (/ (+ (* -108 (pow s 6)) (+ (* 3 (* s (+ (* -36 (pow s 5)) (* 54 (pow s 5))))) (* 72 (pow s 6)))) (pow x 3)))) (+ (* -36 (/ (pow s 5) (pow x 2))) (+ (* 18 (/ (pow s 4) x)) (* 54 (/ (pow s 5) (pow x 2)))))) (pow x 3))
(* -6 (/ (pow s 3) (pow x 3)))
(* -1 (/ (+ (* 6 (pow s 3)) (* 18 (/ (pow s 4) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow s 5) x)) (* 36 (/ (pow s 5) x))) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (pow s 6) x)) (+ (* -3 (/ (* s (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 72 (/ (pow s 6) x)))) (+ (* -54 (pow s 5)) (* 36 (pow s 5)))) x)) (* 18 (pow s 4))) x)) (* 6 (pow s 3))) (pow x 3)))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(/ 1 (pow s 2))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
(* -1/6 (/ (pow x 3) s))
Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (+ (* 1/2 (/ (pow (log (sqrt (E))) 3) (pow s 3))) (/ (* (log (sqrt (E))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))) s))))) (+ (* -1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2))) (* 1/2 (/ (pow (log (sqrt (E))) 2) (pow s 2)))))) (* -1/2 (/ (log (sqrt (E))) s)))))
(fma.f32 x (fma.f32 x (fma.f32 (neg.f32 x) (*.f32 (pow.f32 (/.f32 (log.f32 (sqrt.f32 (E.f32))) s) #s(literal 3 binary32)) #s(literal 1/6 binary32)) #s(literal 0 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (E.f32)))) s)) #s(literal 1/2 binary32))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
(/ 1 (+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) (pow s 2)))) (* -1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/3 (* (pow x 3) (pow (log (sqrt (E))) 3))) (+ (* 1/2 (* (pow x 3) (pow (log (sqrt (E))) 3))) (* x (* (log (sqrt (E))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))))))) (pow s 3)))) (+ (* -1/2 (/ (* x (log (sqrt (E)))) s)) (+ (* -1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))) (* 1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)) (*.f32 x (*.f32 x x))) #s(literal 1/6 binary32) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s)) (* 1/2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s))) (* 1/2 (* x (log (sqrt (E)))))) s)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (log (sqrt (E))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2)))))) s)) (+ (* -1/2 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)) (* 1/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)))) (+ (* -1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))) (* 1/2 (* (pow x 2) (pow (log (sqrt (E))) 2))))) s)) (* 1/2 (* x (log (sqrt (E)))))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (log.f32 (sqrt.f32 (E.f32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)) (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/6 binary32)) (neg.f32 s))) s))
2
#s(literal 2 binary32)
(+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal -2 binary32) #s(literal 2 binary32))
(+ 2 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* 2 (/ (* x (pow (log (sqrt (E))) 2)) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 s s)) (*.f32 x #s(literal 2 binary32)) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 2 binary32))
(+ 2 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* x (+ (* -4/3 (/ (* x (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (*.f32 (pow.f32 (/.f32 (log.f32 (sqrt.f32 (E.f32))) s) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32))) (*.f32 s s))) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 2 binary32))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
(+ 1 (exp (* -2 (/ (* x (log (sqrt (E)))) s))))
(+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal -2 binary32) #s(literal 2 binary32))
(+ 2 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2)))))
(fma.f32 x (fma.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 s s)) (*.f32 x #s(literal 2 binary32)) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 2 binary32))
(+ 2 (+ (* -2 (/ (* x (log (sqrt (E)))) s)) (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (pow s 2))))))
(+.f32 (fma.f32 x (fma.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 s s)) (*.f32 x #s(literal 2 binary32)) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 x (*.f32 x x))) (pow.f32 (/.f32 (log.f32 (sqrt.f32 (E.f32))) s) #s(literal 3 binary32))))
2
#s(literal 2 binary32)
(+ 2 (* -2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal -2 binary32) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (* -2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) s)) (* 2 (* x (log (sqrt (E)))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 x x)) s) (*.f32 (log.f32 (sqrt.f32 (E.f32))) (*.f32 x #s(literal 2 binary32)))) s))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (* (pow x 3) (pow (log (sqrt (E))) 3)) s)) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2)))) s)) (* 2 (* x (log (sqrt (E)))))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 x x)) (/.f32 (*.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 x (*.f32 x x))) (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32))) s)) s))) s))
1
#s(literal 1 binary32)
(+ 1 (* -2 (/ (* x (log (sqrt (E)))) s)))
(fma.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) (/.f32 x s)) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* 2 (/ (* x (pow (log (sqrt (E))) 2)) (pow s 2))))))
(fma.f32 x (fma.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32)) (*.f32 s s)) (*.f32 x #s(literal 2 binary32)) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 1 binary32))
(+ 1 (* x (+ (* -2 (/ (log (sqrt (E))) s)) (* x (+ (* -4/3 (/ (* x (pow (log (sqrt (E))) 3)) (pow s 3))) (* 2 (/ (pow (log (sqrt (E))) 2) (pow s 2))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (*.f32 (pow.f32 (/.f32 (log.f32 (sqrt.f32 (E.f32))) s) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal 2 binary32))) (*.f32 s s))) (/.f32 (*.f32 (log.f32 (sqrt.f32 (E.f32))) #s(literal -2 binary32)) s)) #s(literal 1 binary32))
(exp (* -2 (/ (* x (log (sqrt (E)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))
(exp (* -2 (/ (* x (log (sqrt (E)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))
(exp (* -2 (/ (* x (log (sqrt (E)))) s)))
(pow.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) #s(literal -2 binary32))
(exp (* -2 (/ (* x (log (sqrt (E)))) s)))
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(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) (*.f32 x s))) (neg.f32 (*.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)))))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(neg.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(neg.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(neg.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x (*.f32 x x)) s))) s))
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (*.f32 x (*.f32 x x)) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)
(* -1/6 (/ (pow x 3) s))
(/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) s)

eval349.0ms (3.1%)

Memory
-26.4MiB live, 300.4MiB allocated
Compiler

Compiled 40 142 to 4 768 computations (88.1% saved)

prune343.0ms (3.1%)

Memory
21.7MiB live, 455.7MiB allocated
Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New1 634141 648
Fresh32730
Picked235
Done066
Total1 639501 689
Accuracy
100.0%
Counts
1 689 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
29.2%
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
19.4%
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
32.8%
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
30.9%
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
✓17.1%
(/.f32 s (neg.f32 x))
31.9%
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
50.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 2 binary32)))
✓52.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
50.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32)))
54.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) #s(literal 2 binary32)))
55.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
54.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))
53.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))) #s(literal 2 binary32)))
40.6%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
49.2%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
47.7%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
49.3%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
55.7%
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
33.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
32.8%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
33.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s))))
22.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s)))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
33.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
62.4%
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (neg.f32 (/.f32 x s)))))
55.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
✓40.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
54.8%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) s) #s(literal 2 binary32)))
✓50.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
✓99.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
25.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))))
24.7%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))))
33.9%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x s) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x s) #s(literal -1/6 binary32)))))))
33.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
33.1%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
✓33.9%
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
18.7%
(/.f32 #s(literal -1 binary32) (/.f32 x s))
21.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s))))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))
29.6%
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
28.9%
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
30.7%
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
27.9%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
62.3%
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
✓17.1%
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
30.6%
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
✓35.5%
#s(literal 1/2 binary32)
Compiler

Compiled 2 062 to 860 computations (58.3% saved)

regimes129.0ms (1.1%)

Memory
-11.6MiB live, 237.2MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s))))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x s) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x s) #s(literal -1/6 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (*.f32 #s(literal -2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 (/.f32 x s)) (log.f32 (E.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (neg.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (expm1.f32 (neg.f32 (/.f32 x s)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Calls

7 calls:

21.0ms
(neg.f32 x)
20.0ms
s
19.0ms
x
19.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
17.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1s
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
99.9%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
99.9%1(exp.f32 (/.f32 (neg.f32 x) s))
99.9%1(/.f32 (neg.f32 x) s)
99.9%1(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes127.0ms (1.1%)

Memory
-3.0MiB live, 189.0MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(*.f32 (*.f32 s (*.f32 s s)) (fma.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) x)) #s(literal -18 binary32) (/.f32 #s(literal -6 binary32) (*.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s (*.f32 x s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) s) #s(literal -1/6 binary32))) s) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (fma.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) x) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s))))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 s (*.f32 x s)) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (*.f32 s s) (*.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 x s)))) (*.f32 x s)) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x s) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 x s) #s(literal -1/6 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s (*.f32 s s)))))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
Calls

7 calls:

27.0ms
x
19.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
18.0ms
(neg.f32 x)
17.0ms
(/.f32 (neg.f32 x) s)
16.0ms
s
Results
AccuracySegmentsBranch
65.4%2x
55.7%1s
65.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
65.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
65.3%2(exp.f32 (/.f32 (neg.f32 x) s))
65.3%2(/.f32 (neg.f32 x) s)
65.4%2(neg.f32 x)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes104.0ms (0.9%)

Memory
18.7MiB live, 98.6MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s s)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (/.f32 x (*.f32 s s))))) x) s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x (*.f32 s s))))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 x s)) (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (*.f32 x (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) s)) s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32)))
Calls

6 calls:

32.0ms
x
28.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
12.0ms
(neg.f32 x)
11.0ms
(/.f32 (neg.f32 x) s)
9.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
64.9%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.9%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.9%2(exp.f32 (/.f32 (neg.f32 x) s))
64.9%2(/.f32 (neg.f32 x) s)
64.9%2x
64.9%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes51.0ms (0.5%)

Memory
-5.4MiB live, 107.3MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32)))
Calls

6 calls:

11.0ms
x
9.0ms
(/.f32 (neg.f32 x) s)
8.0ms
(neg.f32 x)
8.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
Results
AccuracySegmentsBranch
64.7%2x
64.7%2(neg.f32 x)
64.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
64.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
64.6%2(exp.f32 (/.f32 (neg.f32 x) s))
64.6%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes57.0ms (0.5%)

Memory
-14.1MiB live, 112.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s))))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))
Calls

6 calls:

19.0ms
(neg.f32 x)
8.0ms
x
8.0ms
(/.f32 (neg.f32 x) s)
7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
63.8%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.8%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.8%2(exp.f32 (/.f32 (neg.f32 x) s))
63.8%2(/.f32 (neg.f32 x) s)
62.5%2x
62.5%2(neg.f32 x)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes27.0ms (0.2%)

Memory
29.8MiB live, 67.5MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1 binary32) (*.f32 s s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/48 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (neg.f32 s))) (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x)))
Calls

4 calls:

7.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
63.2%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
63.2%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
63.2%2(exp.f32 (/.f32 (neg.f32 x) s))
63.2%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes32.0ms (0.3%)

Memory
-12.7MiB live, 67.6MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))
Calls

6 calls:

7.0ms
(/.f32 (neg.f32 x) s)
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms
(neg.f32 x)
5.0ms
x
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
59.2%2x
59.2%2(neg.f32 x)
60.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
60.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
60.6%2(exp.f32 (/.f32 (neg.f32 x) s))
60.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes17.0ms (0.2%)

Memory
3.4MiB live, 42.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
(/.f32 (*.f32 s s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32)))
(*.f32 (/.f32 s (*.f32 x #s(literal 1/2 binary32))) (/.f32 s x))
Outputs
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x))
Calls

4 calls:

4.0ms
(/.f32 (neg.f32 x) s)
4.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
59.6%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
59.6%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
59.6%2(exp.f32 (/.f32 (neg.f32 x) s))
59.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes4.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
(*.f32 (/.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s))
Calls

1 calls:

3.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
59.7%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory
-26.5MiB live, 54.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
Calls

7 calls:

5.0ms
x
4.0ms
(/.f32 (neg.f32 x) s)
3.0ms
(neg.f32 x)
3.0ms
s
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
40.6%1s
48.7%2x
48.7%2(neg.f32 x)
49.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
49.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
49.0%2(exp.f32 (/.f32 (neg.f32 x) s))
49.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes17.0ms (0.2%)

Memory
0.6MiB live, 39.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 s)))
Outputs
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) (/.f32 x s))
Calls

6 calls:

4.0ms
(neg.f32 x)
3.0ms
x
3.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
47.9%2x
47.9%2(neg.f32 x)
48.0%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
48.0%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
48.0%2(exp.f32 (/.f32 (neg.f32 x) s))
48.0%2(/.f32 (neg.f32 x) s)
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes14.0ms (0.1%)

Memory
-0.2MiB live, 37.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
Outputs
#s(literal 1/2 binary32)
(*.f32 (/.f32 #s(literal -1 binary32) x) s)
Calls

6 calls:

4.0ms
(neg.f32 x)
2.0ms
x
2.0ms
(/.f32 (neg.f32 x) s)
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
Results
AccuracySegmentsBranch
46.3%2x
46.3%2(neg.f32 x)
46.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.3%2(/.f32 (neg.f32 x) s)
46.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
46.3%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes6.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Outputs
#s(literal 1/2 binary32)
(/.f32 s (neg.f32 x))
Calls

4 calls:

1.0ms
(/.f32 (neg.f32 x) s)
1.0ms
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms
(exp.f32 (/.f32 (neg.f32 x) s))
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
Results
AccuracySegmentsBranch
46.3%2(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
46.3%2(/.f32 (neg.f32 x) s)
46.3%2(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
46.3%2(exp.f32 (/.f32 (neg.f32 x) s))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory
-12.2MiB live, 26.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary32)
Outputs
#s(literal 1/2 binary32)
Calls

7 calls:

2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
1.0ms
(neg.f32 x)
1.0ms
s
1.0ms
x
1.0ms
(/.f32 (neg.f32 x) s)
Results
AccuracySegmentsBranch
35.5%1s
35.5%1x
35.5%1(neg.f32 x)
35.5%1(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
35.5%1(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
35.5%1(exp.f32 (/.f32 (neg.f32 x) s))
35.5%1(/.f32 (neg.f32 x) s)
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.4497267978412196e-32
3.7669619251761635e-31
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.1026768684387207
891.7078247070313
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2075031556206515e-23
1.2856595498054233e-23
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28227.267578125
97711.75
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28227.267578125
97711.75
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28227.267578125
97711.75
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28227.267578125
97711.75
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28227.267578125
97711.75
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.90958023071289
-0.6665307879447937
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2758053541183472
22.2574520111084
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2758053541183472
22.2574520111084
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2758053541183472
22.2574520111084
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify14.0ms (0.1%)

Memory
-5.7MiB live, 35.4MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary32
12×+-commutative_binary32
10×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072233
193233
2103233
3110233
4114233
5115233
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (neg.f32 x) #s(literal 8507059/170141183460469231731687303715884105728 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 15845633/1267650600228229401496703205376 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(if (<=.f32 (neg.f32 x) #s(literal 8507059/170141183460469231731687303715884105728 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) x) (*.f32 x x) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))) (*.f32 x x) #s(literal 2 binary32))))
(if (<=.f32 (neg.f32 x) #s(literal 15845633/1267650600228229401496703205376 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x (*.f32 s (*.f32 s s))) #s(literal 2 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (*.f32 x x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -6 binary32)) (*.f32 x (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 x x)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 s s) #s(literal 2 binary32)) (*.f32 x x)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 s s)))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal 50000 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 s s) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (neg.f32 (/.f32 x s)) #s(literal -5 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 x s)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 s (/.f32 #s(literal -1 binary32) x)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
(if (<=.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 s (neg.f32 x)))
#s(literal 1/2 binary32)

soundness1.8s (16%)

Memory
6.8MiB live, 1 238.5MiB allocated
Rules
40 054×accelerator-lowering-fma.f32
40 054×accelerator-lowering-fma.f64
7 572×accelerator-lowering-fma.f32
7 572×accelerator-lowering-fma.f64
7 380×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036192
1223172
21944151
08822146
0140758
1378748
21147742
33893722
08438682
041235
1243214
21939214
08925207
04664543
113164423
244274208
081254085
06884471
121533904
267543826
084033632
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 567 to 315 computations (44.4% saved)

preprocess87.0ms (0.8%)

Memory
2.2MiB live, 249.1MiB allocated
Compiler

Compiled 492 to 160 computations (67.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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