expax (section 3.5)

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.3%)

Memory
19.5MiB live, 19.5MiB 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)

sample679.0ms (11.3%)

Memory
-6.2MiB live, 658.6MiB allocated
Samples
369.0ms8 256×0valid
12.0ms306×0invalid
Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-mult: 92.0ms (50.3% of total)
ival-expm1: 57.0ms (31.1% of total)
ival->: 23.0ms (12.6% of total)
exact: 8.0ms (4.4% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain94.0ms (1.6%)

Memory
-10.7MiB live, 115.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13541(2.8680824714209443e-195 -1.9617692239359498e-174)1(-1.4895534942527733e-170 -2.362382557280329e-141)(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
01(-5.889456341314209e-146 2.528352974462509e+147)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))cancellation1750
exp.f64(exp.f64 (*.f64 a x))sensitivity10
Confusion
Predicted +Predicted -
+1341
-4279
Precision
0.7613636363636364
Recall
0.9925925925925926
Confusion?
Predicted +Predicted MaybePredicted -
+13401
-42079
Precision?
0.7613636363636364
Recall?
0.9925925925925926
Freqs
test
numberfreq
080
1176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 74 to 35 computations (52.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (33.9% of total)
ival-mult: 4.0ms (33.9% of total)
ival-expm1: 3.0ms (25.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
egg-herbie
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 x a))
Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(exp.f64 (*.f64 a x))
cost-diff0
(*.f64 a x)
cost-diff6336
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
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 x a))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize20.0ms (0.3%)

Memory
-15.1MiB live, 21.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a x)
accuracy0.010097509768442016
(exp.f64 (*.f64 a x))
accuracy30.679622947921928
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Samples
14.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (34.7% of total)
ival-mult: 2.0ms (34.7% of total)
ival-expm1: 2.0ms (34.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(exp.f64 (*.f64 a x))
Outputs
(* 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)))))))
(- (exp (* a x)) 1)
(exp (* 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 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
Calls

6 calls:

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

simplify214.0ms (3.6%)

Memory
19.4MiB live, 98.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063201
1195201
2526193
31045193
41672193
51873193
61900193
71920193
81934193
91937193
101937193
112619189
123094189
134061189
144062189
154062189
164190189
174190189
186071185
196279185
206321185
216335185
226335185
236511185
246849185
256849185
267408185
07408160
Stop Event
iter limit
saturated
Counts
15 → 15
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)))))))
(- (exp (* a x)) 1)
(exp (* 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 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))

rewrite67.0ms (1.1%)

Memory
7.4MiB live, 82.0MiB allocated
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))
(*.f64 a x)
(exp.f64 (*.f64 a x))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) a) (expm1.f64 (*.f64 x a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) a)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (expm1.f64 (*.f64 x a)))
(*.f64 (+.f64 (pow.f64 (exp.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 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 x a)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(*.f64 x a)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 a x)
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 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 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 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 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) x)
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 x a))

eval47.0ms (0.8%)

Memory
-3.2MiB live, 34.4MiB allocated
Compiler

Compiled 2 806 to 340 computations (87.9% saved)

prune28.0ms (0.5%)

Memory
-4.9MiB live, 41.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1138121
Fresh000
Picked101
Done000
Total1148122
Accuracy
100.0%
Counts
122 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
19.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
69.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
65.7%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
69.4%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 234 to 170 computations (27.4% saved)

simplify238.0ms (3.9%)

Memory
1.1MiB live, 157.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
cost-diff0
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 x a #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #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 x a)
cost-diff0
(expm1.f64 (*.f64 x a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029221
051219
189219
2163219
3398219
41138219
52687219
64219219
74668219
84705219
94705219
107583219
117583219
127583219
137859219
147859219
09774219
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.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 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
a
#s(literal 1/6 binary64)
(*.f64 x a)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(*.f64 x a)
(*.f64 a x)
x
a
(-.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 x a #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 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
a
#s(literal 1/6 binary64)
(*.f64 x a)
(*.f64 a x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize100.0ms (1.7%)

Memory
-22.2MiB live, 135.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.26539930314406
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
accuracy0.3125
(*.f64 #s(literal 1/24 binary64) x)
accuracy1.4376146582151683
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
accuracy19.677368427220333
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
accuracy1.0094310468708385
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy8.243514193709572
(*.f64 (*.f64 a a) x)
accuracy19.658423674365693
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0
(fma.f64 x a #s(literal 1 binary64))
accuracy19.858229742446483
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy20.15002934271398
#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0
(*.f64 x a)
accuracy0.015625
(expm1.f64 (*.f64 x a))
Samples
70.0ms256×0valid
Compiler

Compiled 402 to 59 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 34.0ms (61.9% of total)
ival-add: 9.0ms (16.4% of total)
const: 6.0ms (10.9% of total)
ival-expm1: 3.0ms (5.5% of total)
ival-exp: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
17 → 77
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.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 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 a a) x)
(*.f64 #s(literal 1/24 binary64) x)
Outputs
(* 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
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 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))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 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 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (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 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* 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 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 x)
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (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))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (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 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
3.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
3.0ms
x
@inf
((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
2.0ms
a
@inf
((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))
2.0ms
a
@0
((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* (* a a) x) (* 1/24 x))

simplify216.0ms (3.6%)

Memory
2.1MiB live, 192.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171240
110381209
233331158
084061054
Stop Event
iter limit
node limit
Counts
77 → 76
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
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 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))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 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 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (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 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* 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 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 x)
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (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))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (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 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
a
(* a (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x)
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)
(* (pow a 2) x)
(*.f64 (*.f64 a a) x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) x))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(* 1/24 (* (pow a 4) (pow x 4)))
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 x (/.f64 x a)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (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))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 x (/.f64 x a)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (/.f64 x (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 a #s(literal 4 binary64)))
(* 1/24 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) a (*.f64 (/.f64 x a) #s(literal 1/2 binary64))) (*.f64 a a))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) a (*.f64 (/.f64 x a) #s(literal 1/2 binary64))) (*.f64 a a) #s(literal 1 binary64))
(* 1/24 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a)
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) a (*.f64 (/.f64 x a) #s(literal 1/2 binary64))) a)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 a x #s(literal 1 binary64))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x a)))) (neg.f64 a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a))) (neg.f64 a))) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64))) a) a)
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))) (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 a))) a) a)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(+ a (* 1/2 (* (pow a 2) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 a (/.f64 a x)) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (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))))))
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 a (/.f64 a x)) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (/.f64 a (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 a x) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 a x) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(*.f64 (fma.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(*.f64 x (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (/.f64 (fma.f64 a x #s(literal 1 binary64)) x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (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 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))

rewrite230.0ms (3.8%)

Memory
14.6MiB live, 203.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029182
051180
1216180
21479180
08370180
Stop Event
iter limit
node limit
iter limit
Counts
17 → 450
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.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 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 a a) x)
(*.f64 #s(literal 1/24 binary64) x)
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))))
(*.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))))
(*.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal -1/2 binary64)) (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) x) (*.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)))
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) a) x)))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 a x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))

eval122.0ms (2%)

Memory
-3.9MiB live, 163.1MiB allocated
Compiler

Compiled 21 034 to 2 188 computations (89.6% saved)

prune20.0ms (0.3%)

Memory
11.9MiB live, 49.6MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New5309539
Fresh123
Picked055
Done000
Total53116547
Accuracy
100.0%
Counts
547 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.0%
(/.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))))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
19.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.5%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
68.6%
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
69.4%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
69.3%
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x))))
69.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
65.7%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
68.6%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
69.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)))) (*.f64 x a)))
Compiler

Compiled 550 to 385 computations (30% saved)

simplify45.0ms (0.7%)

Memory
-12.6MiB live, 32.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff1408
(/.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))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
cost-diff0
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
cost-diff0
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 a a) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
cost-diff0
(*.f64 a x)
cost-diff0
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042295
064291
1112291
2203291
3349291
4703291
51285291
61549291
71648291
81740291
91772291
101772291
111772291
121942291
01942282
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#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(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)))
(-.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
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(*.f64 a x)
(*.f64 x a)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x)
(*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(*.f64 (*.f64 x a) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
(*.f64 x a)
a
x
#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))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#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)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #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 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
a
x

localize154.0ms (2.6%)

Memory
-5.5MiB live, 148.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy0.2761542384196073
(/.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))))
accuracy19.858229742446483
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy3.4026821314421496
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
accuracy19.658423674365693
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
accuracy43.39059328313004
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
accuracy0.0078125
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy1.0289622968708385
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy8.243514193709572
(*.f64 (*.f64 a a) x)
accuracy20.063151964932008
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy0
(*.f64 a x)
accuracy19.58783010184528
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
accuracy0.05859375
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
accuracy0.3125
(*.f64 #s(literal 1/6 binary64) x)
accuracy0.9938728313209186
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy19.189098131819712
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
Samples
96.0ms256×0valid
Compiler

Compiled 498 to 75 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-add: 45.0ms (57.6% of total)
ival-mult: 20.0ms (25.6% of total)
ival-div: 3.0ms (3.8% of total)
ival-expm1: 3.0ms (3.8% of total)
const: 3.0ms (3.8% of total)
ival-exp: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-0.6MiB live, 35.1MiB allocated
Counts
19 → 65
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
(/.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))))
(/.f64 #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)))
(*.f64 #s(literal 1/6 binary64) x)
Outputs
(* 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 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(+ 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) (pow x 2)))
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(- (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)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(/ 1 (- (exp (* a x)) 1))
(* -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)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* 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 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ a (* 1/2 (* (pow a 2) 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 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(* 1/6 x)
(* (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 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -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)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* 1/2 (* a x)) x) a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* 1/6 x))
4.0ms
a
@0
((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* 1/2 (* a x)) x) a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* 1/6 x))
3.0ms
a
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* 1/2 (* a x)) x) a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* 1/6 x))
3.0ms
x
@inf
((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* 1/2 (* a x)) x) a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* 1/6 x))
3.0ms
a
@inf
((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* 1/2 (* a x)) x) a) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* 1/6 x))

simplify158.0ms (2.6%)

Memory
31.1MiB live, 148.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248832
1822816
22661782
36063780
08523692
Stop Event
iter limit
node limit
Counts
65 → 64
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 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(+ 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) (pow x 2)))
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(- (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)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(/ 1 (- (exp (* a x)) 1))
(* -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)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* 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 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ a (* 1/2 (* (pow a 2) 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 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(* 1/6 x)
(* (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 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -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)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/6 (* a x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow a 2) x)
(*.f64 (*.f64 a a) x)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 x a))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 (*.f64 x (fma.f64 x #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))) a)) a #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))) (pow.f64 a #s(literal 3 binary64)))
(* 1/6 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/6 binary64)) x)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* 1/6 (* (pow a 2) x))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/6 binary64))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(* 1/2 (* (pow a 2) x))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a)
(+ a (* 1/2 (* (pow a 2) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) a (*.f64 (*.f64 a (fma.f64 a #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal -1/12 binary64) a) #s(literal -1/2 binary64)))) x)) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a)
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))

rewrite213.0ms (3.5%)

Memory
3.6MiB live, 207.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042247
064243
1227235
21335235
08182226
Stop Event
iter limit
node limit
iter limit
Counts
19 → 491
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a)
(/.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))))
(/.f64 #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)))
(*.f64 #s(literal 1/6 binary64) x)
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x a)) (pow.f64 (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x a)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x a) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x a) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(*.f64 (*.f64 x a) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
(*.f64 x (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
(*.f64 a (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 x a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 x a)))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)))) (-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) (-.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))) (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (exp (* a x)) (fma.f64 x a #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 x a #s(literal 1 binary64)))))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval84.0ms (1.4%)

Memory
-14.5MiB live, 134.1MiB allocated
Compiler

Compiled 20 110 to 1 767 computations (91.2% saved)

prune38.0ms (0.6%)

Memory
25.8MiB live, 64.4MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New46210472
Fresh336
Picked325
Done055
Total46820488
Accuracy
100.0%
Counts
488 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)))
70.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)))
73.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
73.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
69.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
19.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.5%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
68.6%
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
69.4%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
65.8%
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
69.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
68.6%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
Compiler

Compiled 648 to 463 computations (28.5% saved)

simplify14.0ms (0.2%)

Memory
-5.5MiB live, 32.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
cost-diff0
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
cost-diff0
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
cost-diff0
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
cost-diff0
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 x a) a)
cost-diff0
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
cost-diff0
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
cost-diff0
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041318
064303
1106303
2161303
3220303
4283303
5329303
6332303
0332290
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 x a) a)
(*.f64 x a)
x
a
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a)
(*.f64 (*.f64 x a) #s(literal 1/2 binary64))
(*.f64 x a)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
a
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
#s(literal 1 binary64)
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1 binary64) x)
x
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)
(*.f64 (*.f64 x a) a)
(*.f64 x a)
x
a
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x))
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x)
(*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)
(*.f64 (*.f64 x a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x a))
(*.f64 x a)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (/.f64 #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 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
a
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
#s(literal 1 binary64)
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
a
(/.f64 #s(literal 1 binary64) x)
x

localize94.0ms (1.6%)

Memory
-19.0MiB live, 185.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
accuracy0.13671875
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
accuracy0.2761542384196073
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
accuracy16.56378507809499
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
accuracy0.05078125
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
accuracy0.08203125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
accuracy19.858229742446483
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy3.123994695546297
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
accuracy19.658423674365693
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
accuracy30.679622947921928
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
accuracy43.39059328313004
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
accuracy0.0078125
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
accuracy0.14453125
(*.f64 (*.f64 x a) a)
accuracy1.0289622968708385
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
accuracy20.063151964932008
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
accuracy0.1640625
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
accuracy0.2761542384196073
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
accuracy16.56378507809499
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
Samples
70.0ms256×0valid
Compiler

Compiled 524 to 80 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 21.0ms (41% of total)
ival-div: 19.0ms (37.1% of total)
ival-add: 7.0ms (13.7% of total)
ival-exp: 2.0ms (3.9% of total)
ival-expm1: 2.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.8%)

Memory
3.3MiB live, 42.0MiB allocated
Counts
20 → 73
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 x a) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
Outputs
(* 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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 1 a)
(/ (+ 1 (* -1/2 (* a x))) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
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) (pow x 2)))
(+ 1 (* -1 (* a x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(+ 1 (* a (- (* a (- (* -1 (* a (pow x 3))) (* -1 (pow x 2)))) x)))
(/ 1 x)
(+ (* -1/2 a) (/ 1 x))
(- (exp (* a x)) 1)
(/ 1 (- (exp (* a x)) 1))
-1/2
(- (/ 1 (* a x)) 1/2)
(* -1/2 x)
(+ (* -1/2 x) (/ 1 a))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* a (+ x (/ 1 a)))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 3) (pow x 4))))) a)
(* -1/2 a)
(* a (- (/ 1 (* a x)) 1/2))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (* a (- 1/2 (/ 1 (* 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))))))))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(+ a (* 1/2 (* (pow a 2) 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 (* x (- (* (pow a 2) x) a)))
(+ 1 (* x (- (* x (- (* -1 (* (pow a 3) x)) (* -1 (pow a 2)))) a)))
(/ (+ 1 (* -1/2 (* a x))) x)
(* x (- (/ 1 (* a x)) 1/2))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ a (/ 1 x)))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 4) (pow x 3))))) x)
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@inf
((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* a x)) 1) (* (+ (* (* (* x a) a) 1/2) a) x) (+ (* (* (* x a) a) 1/2) a) (* (* x a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* x a) 1/2) a) x) (/ 1 (/ 1 (+ (* a x) 1))) (- (exp (* a x)) 1) (exp (* a x)) (/ 1 (+ (* a x) 1)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)))
7.0ms
x
@-inf
((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* a x)) 1) (* (+ (* (* (* x a) a) 1/2) a) x) (+ (* (* (* x a) a) 1/2) a) (* (* x a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* x a) 1/2) a) x) (/ 1 (/ 1 (+ (* a x) 1))) (- (exp (* a x)) 1) (exp (* a x)) (/ 1 (+ (* a x) 1)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)))
3.0ms
a
@-inf
((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* a x)) 1) (* (+ (* (* (* x a) a) 1/2) a) x) (+ (* (* (* x a) a) 1/2) a) (* (* x a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* x a) 1/2) a) x) (/ 1 (/ 1 (+ (* a x) 1))) (- (exp (* a x)) 1) (exp (* a x)) (/ 1 (+ (* a x) 1)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)))
3.0ms
a
@inf
((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* a x)) 1) (* (+ (* (* (* x a) a) 1/2) a) x) (+ (* (* (* x a) a) 1/2) a) (* (* x a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* x a) 1/2) a) x) (/ 1 (/ 1 (+ (* a x) 1))) (- (exp (* a x)) 1) (exp (* a x)) (/ 1 (+ (* a x) 1)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)))
3.0ms
a
@0
((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 x) (/ 1 a)) x) (+ (* -1/2 x) (/ 1 a)) (- (exp (* a x)) 1) (* (+ (* (* (* x a) a) 1/2) a) x) (+ (* (* (* x a) a) 1/2) a) (* (* x a) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* x a) 1/2) a) x) (/ 1 (/ 1 (+ (* a x) 1))) (- (exp (* a x)) 1) (exp (* a x)) (/ 1 (+ (* a x) 1)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)))

simplify183.0ms (3%)

Memory
13.2MiB live, 88.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0273921
1855903
22397880
37190880
08708808
Stop Event
iter limit
node limit
Counts
73 → 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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 1 a)
(/ (+ 1 (* -1/2 (* a x))) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
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) (pow x 2)))
(+ 1 (* -1 (* a x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(+ 1 (* a (- (* a (- (* -1 (* a (pow x 3))) (* -1 (pow x 2)))) x)))
(/ 1 x)
(+ (* -1/2 a) (/ 1 x))
(- (exp (* a x)) 1)
(/ 1 (- (exp (* a x)) 1))
-1/2
(- (/ 1 (* a x)) 1/2)
(* -1/2 x)
(+ (* -1/2 x) (/ 1 a))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* a (+ x (/ 1 a)))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (/ 1 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 3) (pow x 4))))) a)
(* -1/2 a)
(* a (- (/ 1 (* a x)) 1/2))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (* a (- 1/2 (/ 1 (* 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))))))))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(+ a (* 1/2 (* (pow a 2) 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 (* x (- (* (pow a 2) x) a)))
(+ 1 (* x (- (* x (- (* -1 (* (pow a 3) x)) (* -1 (pow a 2)))) a)))
(/ (+ 1 (* -1/2 (* a x))) x)
(* x (- (/ 1 (* a x)) 1/2))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ a (/ 1 x)))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (/ 1 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 4) (pow x 3))))) x)
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 x a))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 (neg.f64 a) (*.f64 x (fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))))) a #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1/2 (* a x))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64)) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow a 2) x)
(*.f64 (*.f64 a a) x)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)
(+ 1 (* -1 (* a x)))
(-.f64 #s(literal 1 binary64) (*.f64 x a))
(+ 1 (* a (- (* a (pow x 2)) x)))
(fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (- (* -1 (* a (pow x 3))) (* -1 (pow x 2)))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 a) (/ 1 x))
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))
-1/2
#s(literal -1/2 binary64)
(- (/ 1 (* a x)) 1/2)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(+ (* -1/2 x) (/ 1 a))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(* 1/2 (* (pow a 2) x))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(fma.f64 x a #s(literal 1 binary64))
(/ (- (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (/ 1 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) a)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) a) (/.f64 #s(literal 1 binary64) x)) a)
(/ (- (+ (/ 1 x) (/ 1 (* (pow a 2) (pow x 3)))) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 3) (pow x 4))))) a)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) a)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) a) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* a (- (/ 1 (* a x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 x a #s(literal 1 binary64))
(* -1 (/ (- (/ 1 (* a (pow x 2))) (/ 1 x)) a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) a)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) a) (/.f64 #s(literal 1 binary64) x)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) a)) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) a)) a) (/.f64 #s(literal 1 binary64) x)) a)
(* -1 (* a (- 1/2 (/ 1 (* a x)))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) a (*.f64 (*.f64 a (fma.f64 #s(literal -1/24 binary64) a (*.f64 (*.f64 #s(literal -1/12 binary64) a) #s(literal -1/2 binary64)))) (neg.f64 x))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)
(+ a (* 1/2 (* (pow a 2) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(+ 1 (* x (- (* (pow a 2) x) a)))
(fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* (pow a 3) x)) (* -1 (pow a 2)))) a)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) x (*.f64 a a)) x (neg.f64 a)) x #s(literal 1 binary64))
(/ (+ 1 (* -1/2 (* a x))) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) x #s(literal 1 binary64)) x)
(* x (- (/ 1 (* a x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 x a #s(literal 1 binary64))
(/ (- (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) x)) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (/ 1 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) x) (/.f64 #s(literal 1 binary64) a)) x)
(/ (- (+ (/ 1 a) (/ 1 (* (pow a 3) (pow x 2)))) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 4) (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) a))) x)
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a) (/.f64 (fma.f64 x a #s(literal 1 binary64)) x)) x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 x a #s(literal 1 binary64))
(* -1 (/ (- (/ 1 (* (pow a 2) x)) (/ 1 a)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) x) (/.f64 #s(literal 1 binary64) a)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) x)) x) (/.f64 #s(literal 1 binary64) a)) x)

rewrite262.0ms (4.3%)

Memory
-20.5MiB live, 107.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041272
064257
1262249
21642249
08287236
Stop Event
iter limit
node limit
iter limit
Counts
20 → 568
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 x a) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))
(*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))))
(*.f64 (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))))
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) a)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) a))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) a))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64)))
(fma.f64 a #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) a))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) a))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) a))

eval148.0ms (2.4%)

Memory
6.3MiB live, 85.1MiB allocated
Compiler

Compiled 21 744 to 2 433 computations (88.8% saved)

prune76.0ms (1.3%)

Memory
1.5MiB live, 40.5MiB allocated
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New6127619
Fresh358
Picked325
Done077
Total61821639
Accuracy
100.0%
Counts
639 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)))
70.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)))
73.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
8.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
20.2%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
22.0%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
50.2%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
50.2%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
49.5%
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
4.9%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
19.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.5%
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
68.6%
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
69.4%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
65.8%
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
69.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
68.6%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
70.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
Compiler

Compiled 1 167 to 502 computations (57% saved)

regimes51.0ms (0.8%)

Memory
12.5MiB live, 88.5MiB allocated
Counts
35 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)))) (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

11.0ms
x
11.0ms
(exp.f64 (*.f64 a x))
10.0ms
a
10.0ms
(*.f64 a x)
8.0ms
(-.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 15 to 17 computations (-13.3% saved)

regimes48.0ms (0.8%)

Memory
-25.1MiB live, 94.3MiB allocated
Counts
33 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)))) (*.f64 x a)))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x))))
Calls

5 calls:

11.0ms
(*.f64 a x)
10.0ms
x
9.0ms
a
7.0ms
(exp.f64 (*.f64 a x))
7.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
81.2%2a
80.7%2x
99.0%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
99.0%2(exp.f64 (*.f64 a x))
99.0%2(*.f64 a x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes24.0ms (0.4%)

Memory
9.0MiB live, 48.1MiB allocated
Counts
29 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
Calls

3 calls:

8.0ms
(*.f64 a x)
8.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
99.0%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
99.0%2(exp.f64 (*.f64 a x))
99.0%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes24.0ms (0.4%)

Memory
11.3MiB live, 53.0MiB allocated
Counts
28 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
Calls

3 calls:

8.0ms
(exp.f64 (*.f64 a x))
8.0ms
(*.f64 a x)
7.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.9%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
98.9%2(exp.f64 (*.f64 a x))
98.9%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes22.0ms (0.4%)

Memory
6.1MiB live, 45.4MiB allocated
Counts
27 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x)))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
Calls

3 calls:

7.0ms
(*.f64 a x)
7.0ms
(exp.f64 (*.f64 a x))
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.7%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
98.7%2(exp.f64 (*.f64 a x))
98.7%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes19.0ms (0.3%)

Memory
1.0MiB live, 39.9MiB allocated
Counts
22 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
Calls

3 calls:

7.0ms
(*.f64 a x)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
98.7%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
98.7%2(exp.f64 (*.f64 a x))
98.7%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes18.0ms (0.3%)

Memory
-3.3MiB live, 35.7MiB allocated
Counts
21 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a 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))))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
Calls

3 calls:

7.0ms
(*.f64 a x)
5.0ms
(exp.f64 (*.f64 a x))
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.3%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
98.3%2(exp.f64 (*.f64 a x))
98.3%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes24.0ms (0.4%)

Memory
-19.3MiB live, 22.5MiB allocated
Counts
18 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
Outputs
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
Calls

3 calls:

13.0ms
(exp.f64 (*.f64 a x))
5.0ms
(*.f64 a x)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.6%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
97.6%2(exp.f64 (*.f64 a x))
97.6%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes17.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))
Calls

5 calls:

4.0ms
x
4.0ms
a
3.0ms
(*.f64 a x)
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
69.4%1x
69.4%1a
74.1%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
74.1%2(exp.f64 (*.f64 a x))
74.1%2(*.f64 a x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.2%)

Memory
-22.4MiB live, 16.2MiB allocated
Counts
8 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))
Calls

3 calls:

4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms
(*.f64 a x)
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
74.1%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
74.1%2(exp.f64 (*.f64 a x))
74.1%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
5 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

3 calls:

2.0ms
(*.f64 a x)
2.0ms
(exp.f64 (*.f64 a x))
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
73.3%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
73.3%2(exp.f64 (*.f64 a x))
73.3%2(*.f64 a x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
4 → 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 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

4 calls:

2.0ms
x
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
69.4%1x
69.4%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
69.4%1(exp.f64 (*.f64 a x))
69.4%1(*.f64 a x)
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.1%)

Memory
-22.4MiB live, 15.5MiB 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:

3.0ms
(exp.f64 (*.f64 a x))
1.0ms
x
1.0ms
a
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
19.8%1a
19.8%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
19.8%1(exp.f64 (*.f64 a x))
19.8%1(*.f64 a x)
19.8%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9119655382856324
-0.07794784979174335
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-148.90624458528868
-0.9119655382856324
Compiler

Compiled 9 to 9 computations (0% saved)

simplify31.0ms (0.5%)

Memory
-15.9MiB live, 65.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101561
1138561
2154561
3167561
4170561
5171561
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x)))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)))
(if (<=.f64 (*.f64 a x) #s(literal -1/2 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x)))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 a x))) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 x a (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a) (*.f64 a x)))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x x)) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 a x))) a (neg.f64 x)) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)))
(if (<=.f64 (*.f64 a x) #s(literal -1/2 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 x (fma.f64 x a #s(literal -1 binary64))) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -1/2 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (fma.f64 (*.f64 (fma.f64 x a #s(literal -1 binary64)) x) a #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 x a))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a x) 1)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 a x))))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 x) (/ 1 a)) x) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness2.0s (32.7%)

Memory
49.8MiB live, 820.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248832
1822816
22661782
36063780
08523692
029182
051180
1216180
21479180
08370180
03171240
110381209
233331158
084061054
042247
064243
1227235
21335235
08182226
0613
0913
13013
215213
0134611
0273921
1855903
22397880
37190880
08708808
063201
1195201
2526193
31045193
41672193
51873193
61900193
71920193
81934193
91937193
101937193
112619189
123094189
134061189
144062189
154062189
164190189
174190189
186071185
196279185
206321185
216335185
226335185
236511185
246849185
256849185
267408185
07408160
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 986 to 416 computations (57.8% saved)

preprocess71.0ms (1.2%)

Memory
23.5MiB live, 99.2MiB allocated
Remove

(sort a x)

Compiler

Compiled 1 166 to 250 computations (78.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...