expq2 (section 3.11)

Time bar (total: 8.3s)

analyze1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample707.0ms (8.5%)

Memory
8.4MiB live, 709.3MiB allocated
Samples
520.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-exp: 117.0ms (45.4% of total)
ival-div: 57.0ms (22.1% of total)
ival-expm1: 49.0ms (19% of total)
ival->: 25.0ms (9.7% of total)
exact: 7.0ms (2.7% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess32.0ms (0.4%)

Memory
-27.8MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
116×div-sub
78×times-frac
76×sub-neg
64×distribute-rgt-in
64×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12219
24218
37818
413212
524212
634312
744812
856512
960612
1063412
1168412
057
087
1137
2147
0145
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))

explain65.0ms (0.8%)

Memory
22.1MiB live, 99.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1690-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1690
Confusion
Predicted +Predicted -
+1690
-087
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16900
-0087
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
087
1169
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.4% of total)
ival-exp: 4.0ms (33.4% of total)
ival-expm1: 3.0ms (25% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.4%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓cost-diff192
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Rules
4×lower-+.f64
4×lower-+.f32
2×lower-expm1.f64
2×lift-exp.f64
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21415
01411
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(literal 1 binary64)

localize21.0ms (0.2%)

Memory
-17.3MiB live, 20.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓accuracy40.0%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
15.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 6.0ms (63.3% of total)
ival-div: 2.0ms (21.1% of total)
ival-expm1: 2.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (exp x) (- (exp x) 1))
0.0ms
x
@-inf
(/ (exp x) (- (exp x) 1))
0.0ms
x
@0
(/ (exp x) (- (exp x) 1))
0.0ms
x
@0
(- (exp x) 1)
0.0ms
x
@-inf
(- (exp x) 1)

rewrite282.0ms (3.4%)

Memory
10.2MiB live, 361.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 384×lower-/.f32
5 382×lower-/.f64
3 398×lower-fma.f64
3 398×lower-fma.f32
3 144×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13313
218813
3180813
087749
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 351
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))

simplify314.0ms (3.8%)

Memory
3.9MiB live, 312.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 384×lower-fma.f64
10 384×lower-fma.f32
4 444×lower-*.f64
4 444×lower-*.f32
1 914×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044202
1122202
2258202
3571202
4827202
5976202
61003202
71097196
81514196
91932196
103331196
114894196
125180196
135566196
146116196
156842196
010190150
Stop Event
1×iter limit
1×node limit
Counts
36 → 35
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval52.0ms (0.6%)

Memory
6.2MiB live, 81.1MiB allocated
Compiler

Compiled 9 715 to 1 201 computations (87.6% saved)

prune48.0ms (0.6%)

Memory
4.3MiB live, 87.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4085413
Fresh000
Picked101
Done000
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.8%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶67.0%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶66.1%
(/.f64 #s(literal 1 binary64) x)
▶100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Compiler

Compiled 78 to 60 computations (23.1% saved)

simplify13.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/720 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(expm1.f64 (neg.f64 x))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Rules
192×lower-+.f32
190×lower-+.f64
178×lower-fma.f32
172×lower-fma.f64
96×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
02883
15583
28983
312583
414683
515283
618583
724083
826383
026383
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize62.0ms (0.7%)

Memory
-11.1MiB live, 65.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/720 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(expm1.f64 (neg.f64 x))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Samples
39.0ms256×0valid
Compiler

Compiled 93 to 20 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 6.0ms (24.3% of total)
const: 6.0ms (24.3% of total)
ival-add: 5.0ms (20.3% of total)
ival-div: 4.0ms (16.2% of total)
ival-expm1: 2.0ms (8.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))>
#<alt (expm1.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))>
#<alt (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal -1/720 binary64))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<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 (/ 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 (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms
x
@inf
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@-inf
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@0
(/ -1 (- (exp (neg x)) 1))
0.0ms
x
@-inf
(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))

rewrite380.0ms (4.6%)

Memory
-15.5MiB live, 421.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 738×lower-fma.f32
6 732×lower-fma.f64
4 052×lower-*.f32
4 050×lower-*.f64
3 810×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
02848
113048
2100048
0836548
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 463
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal -1/720 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(fma.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (exp.f64 (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)))
(expm1.f64 (neg.f64 x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
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(*.f64 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64)))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))) (*.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

simplify235.0ms (2.8%)

Memory
-1.7MiB live, 270.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 646×lower-fma.f64
8 646×lower-fma.f32
2 730×lower-*.f64
2 730×lower-*.f32
1 604×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096661
1249660
2686640
32076627
46062589
08239513
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))

eval92.0ms (1.1%)

Memory
37.3MiB live, 145.7MiB allocated
Compiler

Compiled 20 016 to 1 488 computations (92.6% saved)

prune83.0ms (1%)

Memory
-3.8MiB live, 165.6MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New7367743
Fresh000
Picked055
Done000
Total73612748
Accuracy
100.0%
Counts
748 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.8%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓67.0%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶3.2%
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓66.1%
(/.f64 #s(literal 1 binary64) x)
▶90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
86.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
▶81.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
66.8%
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
▶3.6%
(*.f64 x #s(literal 1/12 binary64))
▶3.4%
#s(literal 1/2 binary64)
Compiler

Compiled 169 to 122 computations (27.8% saved)

simplify307.0ms (3.7%)

Memory
-9.2MiB live, 187.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓cost-diff0
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/12 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Rules
5 808×lower-fma.f32
5 798×lower-fma.f64
1 504×lower-*.f32
1 498×lower-*.f64
840×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01686
03086
16686
213386
323686
442086
560186
697086
7174786
8345786
9452086
10475686
11481786
12485786
13486286
14499786
15503686
16504286
17504886
18505286
19505486
20505486
21506686
0506686
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
x
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
x
#s(literal 1/12 binary64)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
x
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)

localize94.0ms (1.1%)

Memory
-11.7MiB live, 103.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓accuracy99.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓accuracy99.8%
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy99.9%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.6% of total)
const: 9.0ms (29.1% of total)
ival-add: 8.0ms (25.9% of total)
ival-div: 3.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))>
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (+ 1/2 (* 1/12 x))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1))
0.0ms
x
@inf
(/ -1 (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)))
0.0ms
x
@inf
(* x (+ (* x 1/2) -1))
0.0ms
x
@0
(/ -1 (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)))
0.0ms
x
@-inf
(/ -1 (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)))

rewrite365.0ms (4.4%)

Memory
25.3MiB live, 461.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 564×lower-fma.f32
10 554×lower-fma.f64
5 672×lower-*.f32
5 666×lower-*.f64
3 616×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01672
03072
114172
2104472
0859872
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 538
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
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(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))))
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(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/12 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (neg.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/331776 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal 1/20736 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/144 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))

simplify473.0ms (5.7%)

Memory
-21.0MiB live, 531.3MiB allocated
Algorithm
1×egg-herbie
Rules
20 272×lower-fma.f64
20 272×lower-fma.f32
5 010×lower-*.f64
5 010×lower-*.f32
3 820×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178888
1497871
21352848
33599842
08390759
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 192 binary64) x)) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 x (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(*.f64 x (+.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/12 x))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x) #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal -4 binary64)) x)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))

eval103.0ms (1.2%)

Memory
14.0MiB live, 124.0MiB allocated
Compiler

Compiled 17 503 to 2 174 computations (87.6% saved)

prune97.0ms (1.2%)

Memory
16.6MiB live, 173.6MiB allocated
Pruning

35 alts after pruning (25 fresh and 10 done)

PrunedKeptTotal
New63424658
Fresh112
Picked055
Done055
Total63535670
Accuracy
100.0%
Counts
670 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.8%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓67.0%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓3.2%
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
2.9%
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
66.8%
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
90.8%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
25.0%
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
▶90.7%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
✓66.1%
(/.f64 #s(literal 1 binary64) x)
▶79.2%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
74.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
43.4%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))
75.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
77.0%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
74.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
▶90.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
✓90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
70.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓81.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
27.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
26.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
28.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶18.8%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
26.9%
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
66.8%
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
▶90.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
✓3.6%
(*.f64 x #s(literal 1/12 binary64))
✓3.4%
#s(literal 1/2 binary64)
Compiler

Compiled 1 148 to 693 computations (39.6% saved)

simplify294.0ms (3.5%)

Memory
-9.6MiB live, 387.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
✓cost-diff448
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
✓cost-diff320
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
✓cost-diff640
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
✓cost-diff128
(-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
Rules
11 212×lower-fma.f32
11 194×lower-fma.f64
4 148×lower-*.f32
4 132×lower-*.f64
2 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035341
068328
1151314
2406314
31344314
44382314
57012314
08054309
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
x
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
#s(literal -1 binary64)
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/24 binary64)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(literal -1 binary64)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
#s(literal 1 binary64)
(-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x)
x
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
#s(literal -1 binary64)
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/24 binary64)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
#s(literal -1 binary64)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
(*.f64 x (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
#s(literal -1/6 binary64)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 x)

localize132.0ms (1.6%)

Memory
18.2MiB live, 177.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
✓accuracy85.5%
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
✓accuracy99.9%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓accuracy99.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.6%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
✓accuracy99.9%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.2%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
✓accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
✓accuracy99.8%
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
Samples
81.0ms256×0valid
Compiler

Compiled 400 to 44 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 22.0ms (36.8% of total)
ival-div: 18.0ms (30.1% of total)
ival-add: 10.0ms (16.7% of total)
const: 7.0ms (11.7% of total)
ival-sub: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-21.0MiB live, 16.8MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))>
#<alt (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))>
#<alt (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))>
#<alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))>
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))>
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))>
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))>
#<alt (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/12 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/144 (pow x 2)) 1/12)) 1/2)) 1)>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (* 192 (/ 1 (pow x 3)))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 3)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (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 (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/6 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/24 x) 1/6))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* 1/24 x) 1/6))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/36 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- 1/72 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (+ 1/72 (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x))) x))))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<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 -2>
#<alt (- (* 2/3 x) 2)>
#<alt (- (* x (+ 2/3 (* -7/18 x))) 2)>
#<alt (- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (+ 24 (* 96 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* x (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* x (+ (* x 1/24) -1/6))
2.0ms
x
@-inf
(* x -1/6)
1.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@0
(/ -2 (* x x))
0.0ms
x
@0
(* (* x x) (+ (* (* x (+ (* x 1/24) -1/6)) (* x (+ (* x 1/24) -1/6))) -1/4))

rewrite521.0ms (6.3%)

Memory
19.5MiB live, 643.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 856×lower-fma.f32
6 838×lower-fma.f64
5 154×lower-*.f32
5 138×lower-*.f64
4 694×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035262
068206
1321202
22613202
010032200
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 397
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))))
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(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(*.f64 x (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)

simplify319.0ms (3.8%)

Memory
32.3MiB live, 388.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 386×lower-fma.f64
9 386×lower-fma.f32
4 512×lower-*.f64
4 512×lower-*.f32
2 306×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792275
17682203
220502154
361242121
083842006
Stop Event
1×iter limit
1×node limit
Counts
252 → 251
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/12 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/144 (pow x 2)) 1/12)) 1/2)) 1)
(/ 24 (pow x 3))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 3))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3))
(/ (- (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (* 192 (/ 1 (pow x 3)))) (pow x 3))
(/ 24 (pow x 3))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 3)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -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)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* 1/6 (/ 1 x)) (+ 1/24 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/24 (/ 1/2 (pow x 2)))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 x)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/24 x) 1/6))))
(* (pow x 2) (+ 1/2 (* x (- (* 1/24 x) 1/6))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/36 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))
(* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))
(* 1/576 (pow x 6))
(* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- 1/72 (* 1/36 (/ 1 x))) x))))
(* (pow x 6) (+ 1/576 (* -1 (/ (+ 1/72 (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x))) x))))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(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)
-2
(- (* 2/3 x) 2)
(- (* x (+ 2/3 (* -7/18 x))) 2)
(- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))
(* -1/6 x)
(* x (- (* 1/24 x) 1/6))
(* x (- (* 1/24 x) 1/6))
(* x (- (* 1/24 x) 1/6))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) x) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/144 (pow x 2)) 1/12)) 1/2)) 1)
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(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/24 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) x) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/36 (pow x 2)) 1/4))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/36 (* -1/72 x))) 1/4))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/72 binary64) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/36 (* x (- (* 1/576 x) 1/72)))) 1/4))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/72 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(* 1/576 (pow x 6))
(*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/72 binary64) x)))
(* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/72 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x)))
(* (pow x 6) (- (+ 1/576 (/ 1/36 (pow x 2))) (+ (* 1/72 (/ 1 x)) (* 1/4 (/ 1 (pow x 4))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 6))
(*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (- 1/576 (* 1/72 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal -1/72 binary64) x)))
(* (pow x 6) (+ 1/576 (* -1 (/ (- 1/72 (* 1/36 (/ 1 x))) x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 #s(literal 1/36 binary64) x)) x)))
(* (pow x 6) (+ 1/576 (* -1 (/ (+ 1/72 (* -1 (/ (- 1/36 (* 1/4 (/ 1 (pow x 2)))) x))) x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) x)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* 2/3 x) 2)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64))
(- (* x (+ 2/3 (* -7/18 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64))
(- (* x (+ 2/3 (* x (- (* 5/27 x) 7/18)))) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 96 binary64) x) (/.f64 #s(literal 672 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 3840 (/ 1 (pow x 3))) (/ 672 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 (/.f64 #s(literal 3840 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 672 binary64) (*.f64 x x))))) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) (*.f64 x x))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 672 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 96 binary64) x) (/.f64 #s(literal 672 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (+ 672 (* 3840 (/ 1 x))) x)) 96) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (+.f64 #s(literal -672 binary64) (/.f64 #s(literal -3840 binary64) x)) x)) x)) (*.f64 x x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/24 x) 1/6))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* x (- (* 1/24 x) 1/6))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* x (- (* 1/24 x) 1/6))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))

eval542.0ms (6.5%)

Memory
-84.1MiB live, 489.9MiB allocated
Compiler

Compiled 83 154 to 5 342 computations (93.6% saved)

prune224.0ms (2.7%)

Memory
39.8MiB live, 473.0MiB allocated
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New1 990102 000
Fresh91120
Picked415
Done1910
Total2 004312 035
Accuracy
100.0%
Counts
2 035 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.8%
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓67.0%
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓3.2%
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
2.9%
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
66.8%
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
90.8%
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
18.2%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
25.0%
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
90.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
✓66.1%
(/.f64 #s(literal 1 binary64) x)
95.9%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
95.5%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
94.4%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
93.6%
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
90.8%
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
89.1%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
90.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓81.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
27.3%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
26.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
28.9%
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
✓100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓18.8%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
26.9%
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓66.8%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
66.8%
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
26.9%
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
26.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
✓3.6%
(*.f64 x #s(literal 1/12 binary64))
✓3.4%
#s(literal 1/2 binary64)
Compiler

Compiled 1 210 to 479 computations (60.4% saved)

regimes50.0ms (0.6%)

Memory
-5.4MiB live, 34.0MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Calls

3 calls:

25.0ms
(exp.f64 x)
13.0ms
x
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes41.0ms (0.5%)

Memory
-6.6MiB live, 31.6MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)))
Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
Calls

3 calls:

17.0ms
(exp.f64 x)
12.0ms
x
10.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.9%1x
95.9%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
95.9%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes57.0ms (0.7%)

Memory
-10.5MiB live, 27.7MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
Calls

3 calls:

39.0ms
x
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
95.5%1x
95.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
95.5%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes28.0ms (0.3%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
Calls

3 calls:

10.0ms
x
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
94.4%1x
94.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
94.4%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes47.0ms (0.6%)

Memory
-12.3MiB live, 26.0MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
Calls

3 calls:

29.0ms
x
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
93.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
93.6%1(exp.f64 x)
93.6%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes47.0ms (0.6%)

Memory
-40.9MiB live, 23.9MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Calls

3 calls:

29.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms
x
7.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
90.8%1x
90.8%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.9%2x
89.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
90.9%2(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) #s(literal -1 binary64))))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.9%2x
90.9%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes17.0ms (0.2%)

Memory
-28.9MiB live, 9.7MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.9%2x
90.9%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
Outputs
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Calls

2 calls:

4.0ms
x
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.9%2x
90.9%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
81.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
81.8%1x
81.8%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
81.0%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
82.4%2(exp.f64 x)
82.4%2x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
Outputs
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
82.0%2x
82.0%2(exp.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

regimes30.0ms (0.4%)

Memory
-30.8MiB live, 8.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
Calls

3 calls:

26.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
66.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
66.8%1x
66.8%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 #s(literal 1 binary64) x)
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
66.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
66.1%1(exp.f64 x)
66.1%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
Outputs
(*.f64 x #s(literal 1/12 binary64))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.6%1x
3.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.6%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.4%1(exp.f64 x)
3.4%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997650038694
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997650038694
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997650038694
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997650038694
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch15.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-42290.75794807839
-2.3499615821014627e-7
Samples
8.0ms160×0valid
Compiler

Compiled 181 to 138 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (41.7% of total)
ival-expm1: 2.0ms (41.7% of total)
ival-div: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999997650038694
Compiler

Compiled 10 to 9 computations (10% saved)

simplify44.0ms (0.5%)

Memory
-29.3MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071295
188295
290295
391295
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/27 binary64) #s(literal -7/18 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -7/18 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 2/3 binary64) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)

soundness1.9s (22.6%)

Memory
44.5MiB live, 1 218.3MiB allocated
Rules
20 272×lower-fma.f64
20 272×lower-fma.f32
10 564×lower-fma.f32
10 554×lower-fma.f64
10 384×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044202
1122202
2258202
3571202
4827202
5976202
61003202
71097196
81514196
91932196
103331196
114894196
125180196
135566196
146116196
156842196
010190150
0178888
1497871
21352848
33599842
08390759
096661
1249660
2686640
32076627
46062589
08239513
01672
03072
114172
2104472
0859872
02792275
17682203
220502154
361242121
083842006
0513
0813
13313
218813
3180813
087749
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 672 to 322 computations (52.1% saved)

preprocess94.0ms (1.1%)

Memory
0.4MiB live, 153.8MiB allocated
Compiler

Compiled 622 to 164 computations (73.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...