expax (section 3.5)

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze23.0ms (0.3%)

Memory
-12.8MiB live, 34.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75.9%68.7%21.9%0.1%0%9.4%0%7
80%68.7%17.2%0.1%0%14%0%8
86%71.8%11.7%0.1%0%16.4%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.4%73.4%6%0.1%0%20.5%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 12 to 7 computations (41.7% saved)

sample623.0ms (7.8%)

Memory
37.1MiB live, 1 020.4MiB allocated
Samples
329.0ms8 256×0valid
75.0ms301×0invalid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-mult: 89.0ms (51.2% of total)
ival-expm1: 52.0ms (29.9% of total)
ival->: 22.0ms (12.7% of total)
exact: 7.0ms (4% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain69.0ms (0.9%)

Memory
3.6MiB live, 124.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1311(4.57901171269582e-307 -5.82196051163127e-18)1(4.048302900873856e-41 3.078178632861777e+38)(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1311
Confusion
Predicted +Predicted -
+1301
-1124
Precision
0.9923664122137404
Recall
0.9923664122137404
Confusion?
Predicted +Predicted MaybePredicted -
+13010
-10124
Precision?
0.9924242424242424
Recall?
1.0
Freqs
test
numberfreq
0125
1131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (39.7% of total)
ival-exp: 4.0ms (31.8% of total)
ival-expm1: 3.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory
-8.6MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Rules
42×sub-neg
40×exp-sum
24×exp-prod
24×+-commutative
18×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
14236
27334
310834
414134
516534
620434
722634
824034
925134
1025234
066
096
1176
2206
0204
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a x)
cost-diff0
(exp.f64 (*.f64 a x))
cost-diff192
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Rules
lower-exp.f32
exp-prod
lower-pow.f64
lower-+.f64
lower-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
22016
02014
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

localize20.0ms (0.2%)

Memory
6.7MiB live, 45.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a x)
accuracy0.0078125
(exp.f64 (*.f64 a x))
accuracy29.99024411691164
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Samples
14.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.5% of total)
ival-exp: 2.0ms (27.2% of total)
ival-expm1: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
Calls

6 calls:

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

simplify272.0ms (3.4%)

Memory
-27.4MiB live, 251.8MiB allocated
Algorithm
egg-herbie
Rules
8 560×lower-fma.f64
8 560×lower-fma.f32
3 428×associate-*r*
2 992×lower-*.f64
2 992×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063432
1195432
2526424
31045424
41672424
51873424
61900424
71920424
81934424
91937424
101937424
112619420
123094420
134061420
144062420
154062420
164190420
174190420
186071416
196279416
206321416
216335416
226335416
236511416
246849416
256849416
267408416
07408360
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)

rewrite81.0ms (1%)

Memory
10.3MiB live, 130.4MiB allocated
Rules
806×lower-fma.f64
806×lower-fma.f32
650×lower-*.f32
648×lower-*.f64
594×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
215213
0134611
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 111
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
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(*.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a x)))
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (*.f64 a x)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)

eval35.0ms (0.4%)

Memory
9.4MiB live, 47.9MiB allocated
Compiler

Compiled 3 258 to 324 computations (90.1% saved)

prune45.0ms (0.6%)

Memory
-12.9MiB live, 64.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New17112183
Fresh000
Picked011
Done000
Total17113184
Accuracy
100.0%
Counts
184 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
53.1%
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
99.9%
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
100.0%
(expm1.f64 (*.f64 a x))
62.2%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
63.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
62.1%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 368 to 218 computations (40.8% saved)

simplify55.0ms (0.7%)

Memory
7.2MiB live, 88.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
cost-diff0
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)
cost-diff0
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 a x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
Rules
1 908×lower-fma.f32
1 896×lower-fma.f64
1 014×lower-*.f32
1 004×lower-*.f64
990×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027211
049211
1100211
2236211
3583211
4878211
51029211
61045211
71060211
81068211
91069211
101069211
111347211
121356211
131369211
141369211
01369211
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
a
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)
#s(literal 1/2 binary64)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
x
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
a
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)
(fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x)
#s(literal 1/2 binary64)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
x
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 a x))
a
(*.f64 a x)
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize85.0ms (1.1%)

Memory
-3.0MiB live, 152.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f64 a #s(literal 1/6 binary64))
accuracy1.2024031491782
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
accuracy20.77263434349923
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy1.6218058986162756
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
accuracy9.22374502024938
(*.f64 a (*.f64 x x))
accuracy20.810794907914328
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0
(fma.f64 a x #s(literal 1 binary64))
accuracy20.81863796155169
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy20.89872968160575
#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0
(*.f64 a x)
accuracy0.015625
(expm1.f64 (*.f64 a x))
Samples
53.0ms256×0valid
Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 21.0ms (56.6% of total)
ival-add: 9.0ms (24.3% of total)
const: 3.0ms (8.1% of total)
ival-exp: 2.0ms (5.4% of total)
ival-expm1: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-8.1MiB live, 29.4MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) #s(literal 1 binary64))>
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))>
#<alt (fma.f64 a x #s(literal 1 binary64))>
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))>
#<alt (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)>
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)>
#<alt (*.f64 a (*.f64 x x))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt a>
#<alt (+ a (* 1/2 (* (pow a 2) x)))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
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#<alt (- (exp (* a x)) 1)>
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#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (- (exp (* a x)) 1)>
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#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6))
2.0ms
a
@0
((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6))
2.0ms
a
@inf
((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6))
2.0ms
x
@-inf
((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6))
2.0ms
x
@inf
((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6))

simplify294.0ms (3.7%)

Memory
28.8MiB live, 490.0MiB allocated
Algorithm
egg-herbie
Rules
19 346×lower-fma.f64
19 346×lower-fma.f32
4 874×lower-*.f64
4 874×lower-*.f32
2 514×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113180
17153168
224723074
367163074
080822685
Stop Event
iter limit
node limit
Counts
396 → 392
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
a
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
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(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
a
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a)
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a)
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* 1/2 (* a (pow x 2)))
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 x (/.f64 a x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 x (/.f64 a x)))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* 1/2 (* a (pow x 2)))
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))) (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 x))))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(fma.f64 (neg.f64 (*.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(fma.f64 (neg.f64 (*.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))

rewrite292.0ms (3.6%)

Memory
12.8MiB live, 265.1MiB allocated
Rules
5 564×lower-fma.f32
5 552×lower-fma.f64
3 972×lower-/.f64
3 972×lower-/.f32
3 694×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027179
049179
1221179
21732179
08356179
Stop Event
iter limit
node limit
iter limit
Counts
17 → 484
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(*.f64 a (*.f64 x x))
(*.f64 a #s(literal 1/6 binary64))
Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 a (*.f64 a x)))) (pow.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (-.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)))) (fma.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))) (-.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)))
(/.f64 (-.f64 (*.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))))) (*.f64 (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))) (-.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) #s(literal 1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))))
(*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(*.f64 a (*.f64 x x))
(*.f64 x (*.f64 a x))
(*.f64 (*.f64 a x) x)
(*.f64 (*.f64 x x) a)
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)

eval120.0ms (1.5%)

Memory
3.8MiB live, 154.1MiB allocated
Compiler

Compiled 27 191 to 1 753 computations (93.6% saved)

prune127.0ms (1.6%)

Memory
3.6MiB live, 162.0MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New89816914
Fresh257
Picked055
Done011
Total90027927
Accuracy
100.0%
Counts
927 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
99.8%
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
21.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
53.1%
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
6.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.3%
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
100.0%
(expm1.f64 (*.f64 a x))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
62.2%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
63.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 978 to 498 computations (49.1% saved)

simplify295.0ms (3.7%)

Memory
8.7MiB live, 282.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
cost-diff0
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
cost-diff448
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
cost-diff0
(*.f64 a (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
cost-diff0
(*.f64 a (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
cost-diff0
(*.f64 a x)
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
cost-diff0
(*.f64 a (+.f64 x x))
cost-diff0
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))
cost-diff192
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
cost-diff7232
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
Rules
15 932×lower-fma.f32
15 918×lower-fma.f64
4 216×lower-*.f32
4 190×lower-*.f64
3 096×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046463
087463
1201443
2578433
31752433
43609433
55222428
67766428
08123409
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
(*.f64 a (+.f64 x x))
a
(+.f64 x x)
x
#s(literal 3 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(exp.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
#s(literal 1 binary64)
(exp.f64 (*.f64 a (+.f64 x x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64))
(*.f64 a x)
a
x
(*.f64 a (*.f64 a (*.f64 x x)))
(*.f64 a (*.f64 x x))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64))
Outputs
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64)))
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
(*.f64 (*.f64 a x) #s(literal 6 binary64))
(*.f64 a (+.f64 x x))
a
(+.f64 x x)
x
#s(literal 3 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(exp.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
#s(literal 1 binary64)
(exp.f64 (*.f64 a (+.f64 x x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x))
a
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))
#s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 a x)
a
x
(*.f64 a (*.f64 a (*.f64 x x)))
(*.f64 a (*.f64 x x))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))

localize186.0ms (2.3%)

Memory
-27.7MiB live, 215.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy9.223745020249382
(*.f64 a (*.f64 x x))
accuracy14.872574373215368
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
accuracy20.81863796155169
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))
accuracy29.7490138590767
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
accuracy0.328125
(*.f64 x #s(literal 1/24 binary64))
accuracy0.7374296324698018
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy9.223745020249382
(*.f64 a (*.f64 x x))
accuracy20.957703824658097
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
accuracy0.25945519461939476
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
accuracy0.30859375
(*.f64 a #s(literal 1/6 binary64))
accuracy9.223745020249382
(*.f64 a (*.f64 x x))
accuracy20.38102284041894
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
accuracy0
(*.f64 a x)
accuracy20.45471800889078
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
accuracy0.01953125
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
accuracy0.1640625
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
accuracy0.26171875
(*.f64 a (*.f64 x #s(literal 3 binary64)))
accuracy0.28125
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
Samples
89.0ms255×0valid
1.0ms5exit
Compiler

Compiled 395 to 48 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 29.0ms (43.2% of total)
ival-add: 12.0ms (17.9% of total)
ival-exp: 7.0ms (10.4% of total)
const: 6.0ms (8.9% of total)
ival-sub: 6.0ms (8.9% of total)
ival-div: 3.0ms (4.5% of total)
ival-expm1: 3.0ms (4.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-1.5MiB live, 35.1MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#<alt (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))>
#<alt (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))>
#<alt (*.f64 a (+.f64 x x))>
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))>
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))>
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)>
#<alt (*.f64 a (*.f64 x x))>
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))>
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))>
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)>
#<alt (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))>
#<alt (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))>
#<alt (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))>
#<alt (*.f64 a (*.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))>
#<alt (*.f64 a #s(literal 1/6 binary64))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* a (+ (* 6 x) (* 18 (* a (pow x 2)))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
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#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24))
6.0ms
a
@inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24))
5.0ms
a
@-inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24))
5.0ms
x
@inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24))
5.0ms
x
@0
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24))

simplify358.0ms (4.5%)

Memory
33.4MiB live, 219.8MiB allocated
Algorithm
egg-herbie
Rules
13 602×lower-fma.f64
13 602×lower-fma.f32
7 220×lower-*.f64
7 220×lower-*.f32
3 522×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05185373
118015252
263865220
083574725
Stop Event
iter limit
node limit
Counts
480 → 476
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* a (+ (* 6 x) (* 18 (* a (pow x 2)))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* a x)
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* x (+ (* 6 a) (* 18 (* (pow a 2) x))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x))))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x))))))))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (- (* (pow a 2) x) a)))
(+ 1 (* x (- (* (pow a 2) x) a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
1
(+ 1 (* a x))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(*.f64 a (fma.f64 a (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) x))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64)))))))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 3 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 5/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 9/2 binary64)))))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64)))))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64))))))))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64))))))))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* a (+ (* 6 x) (* 18 (* a (pow x 2)))))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 18 binary64))) (*.f64 x #s(literal 6 binary64))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64))))
(* 2 (* a x))
(*.f64 x (*.f64 a #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 x (*.f64 a #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 x (*.f64 a #s(literal 2 binary64)))
(* 2 (* a x))
(*.f64 x (*.f64 a #s(literal 2 binary64)))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) x)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/6 binary64))) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) x)))
(* 1/24 (* (pow a 3) (pow x 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 a (*.f64 (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a a) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 a x))) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* (pow a 2) (pow x 2))
(*.f64 x (*.f64 a (*.f64 a x)))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(*.f64 x (*.f64 x (fma.f64 a a (/.f64 (neg.f64 a) x))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 a a (/.f64 (neg.f64 a) x)))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 a a (/.f64 (neg.f64 a) x)))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64)))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

rewrite604.0ms (7.5%)

Memory
-45.6MiB live, 470.9MiB allocated
Rules
6 248×lower-fma.f32
6 234×lower-fma.f64
4 268×lower-*.f32
4 242×lower-*.f64
3 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046302
087296
1372254
23255252
08863242
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 027
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(*.f64 a (+.f64 x x))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 a (*.f64 x x))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/24 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))))
(/.f64 (expm1.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -3 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -2 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))
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(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 9 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

eval278.0ms (3.5%)

Memory
40.0MiB live, 454.1MiB allocated
Compiler

Compiled 71 687 to 4 614 computations (93.6% saved)

prune206.0ms (2.6%)

Memory
4.4MiB live, 362.9MiB allocated
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New1 98291 991
Fresh21416
Picked325
Done156
Total1 988302 018
Accuracy
100.0%
Counts
2 018 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
99.7%
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
21.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
53.1%
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
6.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.3%
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
100.0%
(expm1.f64 (*.f64 a x))
63.0%
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
67.2%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
67.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
68.1%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
68.1%
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 1 131 to 571 computations (49.5% saved)

simplify263.0ms (3.3%)

Memory
-6.7MiB live, 239.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))
cost-diff0
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff448
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff320
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
cost-diff128
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)
cost-diff0
(*.f64 a x)
cost-diff0
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a x) #s(literal 1 binary64))
cost-diff0
(*.f64 a (*.f64 x #s(literal 6 binary64)))
cost-diff0
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))
cost-diff0
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))
cost-diff0
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
Rules
19 390×lower-fma.f32
19 376×lower-fma.f64
3 146×lower-+.f32
3 134×lower-+.f64
3 054×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059537
0107539
1222539
2527505
31287505
42674505
55133505
67137505
08062483
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
a
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(exp.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
#s(literal 1 binary64)
(exp.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
(+.f64 x x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))
a
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 a x)
x
(*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 a x)
a
x
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(fma.f64 a x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64))
x
(*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))
a
(*.f64 a (*.f64 a (*.f64 x x)))
(*.f64 a (*.f64 x x))
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 x)
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))
Outputs
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64)))))
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))
#s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64))))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(*.f64 x (*.f64 a #s(literal 6 binary64)))
a
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))
(+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(exp.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
#s(literal 1 binary64)
(exp.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
(+.f64 x x)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
a
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 a x)
x
(*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 a x)
a
x
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(fma.f64 a x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64))
x
(*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))
(*.f64 x (*.f64 a (*.f64 a (*.f64 a x))))
a
(*.f64 a (*.f64 a (*.f64 x x)))
(*.f64 a (*.f64 x (*.f64 a x)))
(*.f64 a (*.f64 x x))
(*.f64 x (*.f64 a x))
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(neg.f64 x)
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 a (*.f64 x (*.f64 a x)) #s(literal 1 binary64))

localize161.0ms (2%)

Memory
-18.9MiB live, 176.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy9.22374502024938
(*.f64 a (*.f64 x x))
accuracy14.872574373215368
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))
accuracy20.81863796155169
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy0.30859375
(*.f64 a #s(literal 1/6 binary64))
accuracy1.2063093991782
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))
accuracy20.77263434349923
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy0.109375
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
accuracy0.25945519461939476
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))
accuracy0.328125
(*.f64 #s(literal 1/6 binary64) x)
accuracy20.38102284041894
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
accuracy0
(*.f64 a x)
accuracy0.00390625
(+.f64 (*.f64 a x) #s(literal 1 binary64))
accuracy20.81863796155169
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
accuracy29.99024411691164
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.01953125
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
accuracy0.1640625
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
accuracy0.265625
(*.f64 a (*.f64 x #s(literal 6 binary64)))
accuracy0.265625
(*.f64 a (*.f64 x #s(literal 3 binary64)))
Samples
90.0ms255×0valid
1.0ms1valid
Compiler

Compiled 428 to 53 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 34.0ms (52.3% of total)
ival-add: 13.0ms (20% of total)
ival-exp: 5.0ms (7.7% of total)
const: 5.0ms (7.7% of total)
ival-div: 3.0ms (4.6% of total)
ival-expm1: 3.0ms (4.6% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-3.0MiB live, 34.6MiB allocated
Counts
25 → 576
Calls
Call 1
Inputs
#<alt (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))>
#<alt (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))>
#<alt #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))>
#<alt (*.f64 a (*.f64 x #s(literal 6 binary64)))>
#<alt (+.f64 (*.f64 a x) #s(literal 1 binary64))>
#<alt (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))>
#<alt (*.f64 a x)>
#<alt (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)>
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))>
#<alt (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))>
#<alt (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))>
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))>
#<alt (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))>
#<alt (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))>
#<alt (*.f64 a (*.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 a #s(literal 1/6 binary64))>
#<alt (*.f64 a (*.f64 x x))>
Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))>
#<alt (* 6 (* a x))>
#<alt (* a (+ (* 6 x) (* 18 (* a (pow x 2)))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))>
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
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#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (- (exp (* 6 (* a x))) 1)>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* 6 (* a x))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (+ 1 (exp (* 2 (* a x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
Calls

6 calls:

TimeVariablePointExpression
7.0ms
a
@0
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x)))
3.0ms
a
@-inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x)))
3.0ms
x
@-inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x)))
3.0ms
x
@inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x)))
3.0ms
a
@inf
((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x)))

simplify308.0ms (3.8%)

Memory
29.0MiB live, 294.5MiB allocated
Algorithm
egg-herbie
Rules
12 808×lower-fma.f64
12 808×lower-fma.f32
7 878×lower-*.f64
7 878×lower-*.f32
2 496×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04705926
116615800
259145798
089355252
Stop Event
iter limit
node limit
Counts
576 → 574
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(* 6 (* a x))
(* a (+ (* 6 x) (* 18 (* a (pow x 2)))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a x)
(* a x)
(* a x)
(* a x)
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))
(+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* a x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))
(* 6 (* a x))
(* x (+ (* 6 a) (* 18 (* (pow a 2) x))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x))))))
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x))))))))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* a x)
(* a x)
(* a x)
(* a x)
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* 1/2 (* (pow a 2) x))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
1
(+ 1 (* a x))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
2
(+ 2 (* 2 (* a x)))
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(- (exp (* 6 (* a x))) 1)
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* 6 (* a x))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(+ 1 (exp (* 2 (* a x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
(*.f64 a (fma.f64 a (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) x))
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))
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(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x)))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 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))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x))))))
(- (exp (* 6 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
(- (exp (* 6 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
(- (exp (* 6 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
(- (exp (* 6 (* a x))) 1)
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64))))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* 6 (* a x))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x))))
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x)))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 x (*.f64 x (neg.f64 x))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 2)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))
(* (pow a 2) (pow x 2))
(*.f64 a (*.f64 a (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x)))
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (+.f64 a (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (+.f64 a (/.f64 #s(literal -1 binary64) x)) x)))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* 2 (* a x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 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))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))
(* a (pow x 2))
(*.f64 a (*.f64 x x))

rewrite294.0ms (3.7%)

Memory
24.6MiB live, 371.9MiB allocated
Rules
6 490×lower-fma.f32
6 476×lower-fma.f64
4 080×lower-*.f32
4 044×lower-*.f64
3 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059362
0107301
1415289
23314283
08973275
Stop Event
iter limit
node limit
iter limit
Counts
25 → 810
Calls
Call 1
Inputs
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))
(*.f64 a (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
(*.f64 a x)
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 a #s(literal 1/6 binary64))
(*.f64 a (*.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(-.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))
(fma.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(neg.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))))
(/.f64 (neg.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))))
(/.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))
(/.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal -3 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal -2 binary64))) (fma.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))
(/.f64 (-.f64 (neg.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))
(/.f64 (-.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))
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(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a x) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a x) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a x) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64))
(/.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 a x) (*.f64 a x))))
(/.f64 (neg.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 a #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64))
(*.f64 a (+.f64 x x))
(*.f64 a (*.f64 a (+.f64 x x)))
(*.f64 a (*.f64 x #s(literal 3 binary64)))
(*.f64 a (log.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 x (+.f64 a a))
(*.f64 x (*.f64 a #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 3 binary64) a))
(*.f64 x (log.f64 (exp.f64 (+.f64 a a))))
(*.f64 x (log.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 a x))
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 x x)))
(*.f64 (*.f64 a x) #s(literal 3 binary64))
(*.f64 (+.f64 x x) a)
(*.f64 (+.f64 x x) (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) a)
(*.f64 (*.f64 x #s(literal 3 binary64)) (log.f64 (exp.f64 (+.f64 a a))))
(*.f64 #s(literal 2 binary64) (*.f64 a x))
(*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 x x)))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) a)
(*.f64 (*.f64 a #s(literal 3 binary64)) x)
(*.f64 (*.f64 a #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 x x))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a (*.f64 x x))
(*.f64 x (*.f64 a x))
(*.f64 (*.f64 a x) x)
(*.f64 (*.f64 x x) a)

eval206.0ms (2.6%)

Memory
14.9MiB live, 287.0MiB allocated
Compiler

Compiled 48 879 to 3 312 computations (93.2% saved)

prune204.0ms (2.5%)

Memory
-17.5MiB live, 261.4MiB allocated
Pruning

31 alts after pruning (20 fresh and 11 done)

PrunedKeptTotal
New1 53531 538
Fresh11718
Picked145
Done077
Total1 537311 568
Accuracy
100.0%
Counts
1 568 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
99.7%
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
21.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
53.1%
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
22.3%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
21.5%
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
23.3%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64))
22.7%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
6.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.3%
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
100.0%
(expm1.f64 (*.f64 a x))
63.0%
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
67.2%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
67.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
67.1%
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
68.1%
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
68.1%
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 1 413 to 492 computations (65.2% saved)

regimes78.0ms (1%)

Memory
13.6MiB live, 88.5MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

32.0ms
(exp.f64 (*.f64 a x))
14.0ms
x
11.0ms
a
11.0ms
(*.f64 a x)
9.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes50.0ms (0.6%)

Memory
4.4MiB live, 86.8MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
Calls

5 calls:

12.0ms
(*.f64 a x)
11.0ms
x
10.0ms
a
8.0ms
(exp.f64 (*.f64 a x))
8.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.2%2a
68.1%1x
71.3%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
71.3%2(exp.f64 (*.f64 a x))
71.3%2(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes25.0ms (0.3%)

Memory
8.8MiB live, 46.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))
Calls

3 calls:

10.0ms
(*.f64 a x)
7.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
70.9%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.9%2(exp.f64 (*.f64 a x))
70.9%2(*.f64 a x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes22.0ms (0.3%)

Memory
-7.7MiB live, 28.8MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))
Calls

3 calls:

10.0ms
(*.f64 a x)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
70.9%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.9%2(exp.f64 (*.f64 a x))
70.9%2(*.f64 a x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes23.0ms (0.3%)

Memory
-32.1MiB live, 27.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
Calls

3 calls:

11.0ms
(exp.f64 (*.f64 a x))
5.0ms
(*.f64 a x)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.8%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.8%2(exp.f64 (*.f64 a x))
70.8%2(*.f64 a x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
Calls

3 calls:

4.0ms
(*.f64 a x)
3.0ms
(exp.f64 (*.f64 a x))
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.6%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.6%2(exp.f64 (*.f64 a x))
70.6%2(*.f64 a x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes15.0ms (0.2%)

Memory
-19.2MiB live, 19.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))
Calls

3 calls:

8.0ms
(exp.f64 (*.f64 a x))
3.0ms
(*.f64 a x)
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
70.5%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.5%2(exp.f64 (*.f64 a x))
70.5%2(*.f64 a x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

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

5 calls:

2.0ms
x
2.0ms
a
2.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
68.0%1x
68.0%1a
68.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
68.0%1(exp.f64 (*.f64 a x))
68.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

5 calls:

1.0ms
a
1.0ms
x
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
20.0%1a
20.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.0%1(exp.f64 (*.f64 a x))
20.0%1(*.f64 a x)
20.0%1x
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2247.0294332668163
-0.2237980328000469
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify24.0ms (0.3%)

Memory
-24.3MiB live, 14.4MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative_binary64
18×sub-neg_binary64
16×+-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073356
1104356
2120356
3134356
4138356
5139356
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 a a)) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))))
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness2.0s (25.1%)

Memory
47.2MiB live, 978.7MiB allocated
Rules
19 346×lower-fma.f64
19 346×lower-fma.f32
8 560×lower-fma.f64
8 560×lower-fma.f32
6 248×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046302
087296
1372254
23255252
08863242
027179
049179
1221179
21732179
08356179
063432
1195432
2526424
31045424
41672424
51873424
61900424
71920424
81934424
91937424
101937424
112619420
123094420
134061420
144062420
154062420
164190420
174190420
186071416
196279416
206321416
216335416
226335416
236511416
246849416
256849416
267408416
07408360
02113180
17153168
224723074
367163074
080822685
0613
0913
13013
215213
0134611
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 539 to 214 computations (60.3% saved)

preprocess133.0ms (1.6%)

Memory
3.1MiB live, 160.0MiB allocated
Remove

(sort a x)

Compiler

Compiled 576 to 144 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...