expax (section 3.5)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze17.0ms (0.4%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
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)

sample694.0ms (15.9%)

Memory
-18.2MiB live, 509.0MiB allocated; 122ms collecting garbage
Samples
422.0ms8 256×0valid
12.0ms301×0invalid
Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-mult: 95.0ms (42% of total)
ival-expm1: 95.0ms (42% of total)
ival->: 23.0ms (10.2% of total)
exact: 7.0ms (3.1% of total)
ival-assert: 4.0ms (1.8% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain96.0ms (2.2%)

Memory
9.8MiB live, 55.3MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1192(1.7857015568348618e-94 -1.2064837739280962e-229)0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10-0-(exp.f64 (*.f64 a x))
00-0-a
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))cancellation1210
exp.f64(exp.f64 (*.f64 a x))sensitivity10
Confusion
Predicted +Predicted -
+1190
-3134
Precision
0.9754098360655737
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11900
-30134
Precision?
0.9754098360655737
Recall?
1.0
Freqs
test
numberfreq
0134
1122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (35.5% of total)
ival-mult: 4.0ms (35.5% of total)
ival-expm1: 3.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess152.0ms (3.5%)

Memory
-12.2MiB live, 85.4MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
13936
27336
319336
477836
5619836
066
096
1176
2326
3736
42416
518786
656966
082424
Stop Event
iter limit
node limit
iter limit
node limit
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
6 → 17
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
(* 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
(- (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)))))))
x
Calls

6 calls:

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

simplify254.0ms (5.8%)

Memory
-1.4MiB live, 228.4MiB allocated; 77ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063203
1236203
2889195
33196195
45768195
08321170
Stop Event
iter limit
node limit
Counts
17 → 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)))))))
a
(- (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)))))))
x
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 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #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 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 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 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
a
(- (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 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #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 (*.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 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 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
x

rewrite204.0ms (4.7%)

Memory
39.0MiB live, 168.2MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
13116
217716
3179216
0807914
Stop Event
iter limit
node limit
iter limit
Counts
6 → 391
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 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (expm1.f64 (*.f64 x a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (expm1.f64 (*.f64 x a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (expm1.f64 (*.f64 x a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) #s(literal 1 binary64))) (expm1.f64 (*.f64 x a)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a)))) (expm1.f64 (*.f64 x a)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 (neg.f64 (expm1.f64 (*.f64 x a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
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(fma.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a)) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
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(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
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(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
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(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))))))
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 x a) #s(literal 1 binary64)))
(exp.f64 (*.f64 x a))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a)
(*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 x) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 a x #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
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(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))))
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(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.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 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (sinh.f64 a))))))
(-.f64 #s(literal 0 binary64) (neg.f64 a))
(log.f64 (exp.f64 a))
a
(log.f64 (exp.f64 x))
x
#s(literal 1 binary64)

eval50.0ms (1.1%)

Memory
-30.6MiB live, 59.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 12 093 to 1 211 computations (90% saved)

prune10.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3939402
Fresh000
Picked101
Done000
Total3949403
Accuracy
100.0%
Counts
403 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (expm1.f64 (*.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
57.5%
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
22.6%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
22.5%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
59.9%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
64.2%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
65.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 250 to 184 computations (26.4% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series12.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
21 → 53
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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
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))))))))
a
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (* 1/2 (* a x)))
(* 1/2 a)
(* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))
(* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))
(+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))
(+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(- (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 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(- (sqrt (exp (* 2 (* a x)))) 1)
(sqrt (exp (* 2 (* a x))))
(exp (* 2 (* a x)))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
x
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))
(* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))
(+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))
(+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* 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 a) (/ 1 x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (* 1/2 a) 1/2 (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) 2)
3.0ms
a
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (* 1/2 a) 1/2 (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) 2)
2.0ms
a
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (* 1/2 a) 1/2 (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) 2)
2.0ms
x
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (* 1/2 a) 1/2 (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) 2)
1.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (* 1/2 a) 1/2 (- (sqrt (pow (exp 2) (* x a))) 1) (sqrt (pow (exp 2) (* x a))) (pow (exp 2) (* x a)) (exp 2) 2)

simplify177.0ms (4%)

Memory
-15.5MiB live, 122.5MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0215872
1792872
23005772
08371676
Stop Event
iter limit
node limit
Counts
53 → 51
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (* 1/2 (* a x)))
(* 1/2 a)
(* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))
(* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))
(+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))
(+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(- (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 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(- (sqrt (exp (* 2 (* a x)))) 1)
(sqrt (exp (* 2 (* a x))))
(exp (* 2 (* a x)))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
x
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))
(* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))
(+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))
(+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* 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 a) (/ 1 x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
Outputs
(* a x)
(*.f64 a x)
(* 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 (*.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)
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 (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 (*.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 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a)
(* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64)))) a (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/2 binary64)) a x) a)
(* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) x (neg.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))))) x))) a (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64))))) a (fma.f64 x x #s(literal 0 binary64)))) a x) a)
(+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64)))) a (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/2 binary64)) a x) a #s(literal 1 binary64))
(+ 1 (* 2 (* a x)))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4/3 binary64) a) x #s(literal 2 binary64))) a (*.f64 #s(literal 2 binary64) x)) a #s(literal 1 binary64))
(- (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 (*.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a #s(literal 1 binary64))
(* 1/2 (* a x))
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(- (sqrt (exp (* 2 (* a x)))) 1)
(expm1.f64 (*.f64 a x))
(sqrt (exp (* 2 (* a x))))
(pow.f64 (exp.f64 x) a)
(exp (* 2 (* a x)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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 (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)
x
(+ 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 (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))
(* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x)
(* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -4/3 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 a a #s(literal 0 binary64)) a)) a))) x (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64))))) x (fma.f64 a a #s(literal 0 binary64)))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) x a) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4/3 binary64)) x)) x (*.f64 #s(literal 2 binary64) a)) x #s(literal 1 binary64))
(* 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 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))

rewrite165.0ms (3.8%)

Memory
-5.8MiB live, 136.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023128
039123
1165123
21177120
08465120
Stop Event
iter limit
node limit
iter limit
Counts
21 → 442
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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 a #s(literal 2 binary64))))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) a)))
(expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) x))
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a (*.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 x (*.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (neg.f64 a) x (*.f64 (neg.f64 a) x)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 a) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a x))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 a x) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) x))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) x (*.f64 (*.f64 #s(literal 2 binary64) a) x)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 2 binary64))
(fma.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 a #s(literal 2 binary64)) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(fma.f64 x a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 a) (/.f64 x #s(literal 2 binary64))))
(-.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) (/.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (*.f64 (neg.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(log.f64 (exp.f64 x))
x
(log.f64 (exp.f64 a))
a
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(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) a))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) a) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) x) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) x)
(pow.f64 (exp.f64 a) (*.f64 (+.f64 x x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 a a) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) a (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (/.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) a (*.f64 #s(literal 1/2 binary64) a)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x))) (*.f64 (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)))) (-.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x)))) (*.f64 (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))))) (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)))) (-.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x))) (*.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x)))) (*.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x))) (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (*.f64 (exp.f64 (*.f64 (neg.f64 a) x)) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) (exp.f64 (*.f64 (neg.f64 a) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 a) x)) (exp.f64 (*.f64 (neg.f64 a) x))))
(fma.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)))
(fma.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x)) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a x)))
(-.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (neg.f64 (sinh.f64 (*.f64 a x))) (pow.f64 (exp.f64 a) x)))
(-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (neg.f64 (pow.f64 (exp.f64 a) x)) (sinh.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (cosh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (pow.f64 (exp.f64 a) x)))
(+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (cosh.f64 (*.f64 a x))) (*.f64 (pow.f64 (exp.f64 a) x) (sinh.f64 (*.f64 a x))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x)))
(exp.f64 (*.f64 a (+.f64 x x)))
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (*.f64 x (+.f64 a a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 a x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a)) x))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 #s(literal 2 binary64)) (sinh.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 #s(literal -2 binary64)) (cosh.f64 #s(literal -2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))))))
(+.f64 (sinh.f64 #s(literal 2 binary64)) (cosh.f64 #s(literal -2 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

eval78.0ms (1.8%)

Memory
4.2MiB live, 92.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 16 723 to 2 188 computations (86.9% saved)

prune16.0ms (0.4%)

Memory
35.3MiB live, 35.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New56610576
Fresh314
Picked235
Done000
Total57114585
Accuracy
100.0%
Counts
585 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (expm1.f64 (*.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
57.5%
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
22.6%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
21.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
4.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
21.1%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
22.5%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
58.9%
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
59.9%
#s(approx (- (exp (* x a)) 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))
64.2%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
65.9%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
Compiler

Compiled 491 to 353 computations (28.1% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series91.0ms (2.1%)

Memory
-6.7MiB live, 46.0MiB allocated; 51ms collecting garbage
Counts
30 → 81
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 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)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (- (exp (* x a)) 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 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
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))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(pow a 2)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) x))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ 1 (* 1/2 (* a x)))
(* 1/2 a)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 a)
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (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))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -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 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 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)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(pow x 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))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 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 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 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 (- (* -1/2 a) (/ 1 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)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
Calls

6 calls:

TimeVariablePointExpression
74.0ms
a
@-inf
((- (exp (* x a)) 1) (* a x) a x (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (* (* (* a a) x) 1/2) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (+ (* (* 1/2 a) x) 1) (* 1/2 a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (* x x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6)
4.0ms
x
@-inf
((- (exp (* x a)) 1) (* a x) a x (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (* (* (* a a) x) 1/2) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (+ (* (* 1/2 a) x) 1) (* 1/2 a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (* x x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6)
3.0ms
a
@inf
((- (exp (* x a)) 1) (* a x) a x (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (* (* (* a a) x) 1/2) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (+ (* (* 1/2 a) x) 1) (* 1/2 a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (* x x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6)
3.0ms
a
@0
((- (exp (* x a)) 1) (* a x) a x (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (* (* (* a a) x) 1/2) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (+ (* (* 1/2 a) x) 1) (* 1/2 a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (* x x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6)
3.0ms
x
@inf
((- (exp (* x a)) 1) (* a x) a x (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (* (* (* a a) x) 1/2) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (+ (* (* 1/2 a) x) 1) (* 1/2 a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (* x x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6)

simplify227.0ms (5.2%)

Memory
21.2MiB live, 202.0MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0221939
1842903
23302869
09272787
Stop Event
iter limit
node limit
Counts
81 → 79
Calls
Call 1
Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(pow a 2)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) x))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ 1 (* 1/2 (* a x)))
(* 1/2 a)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 a)
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (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))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -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 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 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)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(pow x 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))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 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 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 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 (- (* -1/2 a) (/ 1 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)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #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 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) 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)
a
(* a (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* (pow a 2) x)
(*.f64 (*.f64 a a) x)
(pow a 2)
(*.f64 a 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 (*.f64 #s(literal 1/2 binary64) 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) x) a)
(* 1/2 (* (pow a 2) x))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
x
(+ x (* 1/2 (* a (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x)
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #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 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* 1/2 (* a (pow x 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
(* 1/2 (* a x))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x)
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.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 a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a)
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/6 binary64))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a)
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a))
(* 1/6 (* a (pow x 3)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64))
(* a (+ (* 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))) a)
(* 1/6 (* a x))
(*.f64 #s(literal 1/6 binary64) (*.f64 a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 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 a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a))
(* -1 (* a (+ (* -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))) a)
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) x #s(literal -1/2 binary64)))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #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 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) 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 (*.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)
(+ a (* 1/2 (* (pow a 2) x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a #s(literal 1 binary64))
(* x (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x)
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x)
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(* (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 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x)
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x)
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(* -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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x) a)
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a)
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x) a x)
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) x #s(literal -1/2 binary64)))

rewrite623.0ms (14.3%)

Memory
-33.1MiB live, 232.9MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040289
063286
1230286
21509286
08361280
Stop Event
iter limit
node limit
iter limit
Counts
30 → 514
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 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)
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (- (exp (* x a)) 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 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
(*.f64 x a)
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(pow.f64 (neg.f64 a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 a #s(literal 1 binary64))
(sqrt.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (neg.f64 a))
(fabs.f64 a)
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(log.f64 (exp.f64 a))
a
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(log.f64 (exp.f64 x))
x
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x)
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x)) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 a x)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))) (-.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x)) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (neg.f64 a))) x)) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (neg.f64 a))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) a)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (neg.f64 a))) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) a))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (neg.f64 a)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) a))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 a a) x)) #s(literal 1/2 binary64) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 a x))
(fma.f64 a x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x) (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))
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(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a x)) (*.f64 #s(literal -1/6 binary64) (*.f64 a x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a x)) (*.f64 #s(literal -1/6 binary64) (*.f64 a x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 a x))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) a)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) a)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

eval126.0ms (2.9%)

Memory
-30.3MiB live, 153.9MiB allocated; 24ms collecting garbage
Compiler

Compiled 33 675 to 4 088 computations (87.9% saved)

prune26.0ms (0.6%)

Memory
6.6MiB live, 53.8MiB allocated; 1ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New8876893
Fresh246
Picked325
Done033
Total89215907
Accuracy
100.0%
Counts
907 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (expm1.f64 (*.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
57.5%
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
4.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
21.1%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
22.5%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
44.2%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
58.9%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
64.9%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
66.2%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
50.5%
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
44.5%
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
65.9%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
Compiler

Compiled 479 to 342 computations (28.6% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series12.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
28 → 63
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 a x)
a
x
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
(*.f64 a (sqrt.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 x x))
(*.f64 x x)
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a)
(fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x)
(*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
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))))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
a
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 a)
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(- (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 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 2)))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* -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 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (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))))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1/2 (* 1/6 (* a x))))
(pow x 2)
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(sqrt 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 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 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)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* a x))
(* -1 x)
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* a (* x (pow (sqrt -1) 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) a x (* (+ (* (* 1/6 a) x) 1/2) x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6 1/2 (- (exp (* x a)) 1) (* a (sqrt (* x x))) (sqrt (* x x)) (* x x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (+ (* (* 1/6 a) x) 1/2) (- (exp (* x a)) 1) (* a (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
2.0ms
a
@-inf
((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) a x (* (+ (* (* 1/6 a) x) 1/2) x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6 1/2 (- (exp (* x a)) 1) (* a (sqrt (* x x))) (sqrt (* x x)) (* x x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (+ (* (* 1/6 a) x) 1/2) (- (exp (* x a)) 1) (* a (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
2.0ms
x
@inf
((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) a x (* (+ (* (* 1/6 a) x) 1/2) x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6 1/2 (- (exp (* x a)) 1) (* a (sqrt (* x x))) (sqrt (* x x)) (* x x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (+ (* (* 1/6 a) x) 1/2) (- (exp (* x a)) 1) (* a (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
1.0ms
a
@inf
((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) a x (* (+ (* (* 1/6 a) x) 1/2) x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6 1/2 (- (exp (* x a)) 1) (* a (sqrt (* x x))) (sqrt (* x x)) (* x x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (+ (* (* 1/6 a) x) 1/2) (- (exp (* x a)) 1) (* a (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
1.0ms
a
@0
((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) a x (* (+ (* (* 1/6 a) x) 1/2) x) (+ (* (* 1/6 a) x) 1/2) (* 1/6 a) 1/6 1/2 (- (exp (* x a)) 1) (* a (sqrt (* x x))) (sqrt (* x x)) (* x x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (+ (* (* 1/6 a) x) 1/2) (- (exp (* x a)) 1) (* a (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) (* (sqrt x) (sqrt x))) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))

simplify134.0ms (3.1%)

Memory
-6.5MiB live, 94.8MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211756
1783714
23198692
08560629
Stop Event
iter limit
node limit
Counts
63 → 61
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))))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
a
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 a)
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(- (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 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 2)))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* -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 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (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))))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1/2 (* 1/6 (* a x))))
(pow x 2)
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(sqrt 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 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 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)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* a x))
(* -1 x)
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* a (* x (pow (sqrt -1) 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
Outputs
(* a x)
(*.f64 a x)
(* 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)) (*.f64 x x)) 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)
x
(+ x (* 1/2 (* a (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x)) a x)
a
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 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 (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)))
(* 1/6 (* (pow a 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/6 binary64))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(*.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)) (*.f64 a a))
(* 1/6 (* a (pow x 2)))
(*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/6 binary64))
(* a (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) a)
(* 1/6 (* a x))
(*.f64 (*.f64 a x) #s(literal 1/6 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* 1/6 (* a (pow x 3)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64))
(* a (+ (* 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))) 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 (/ x a)) (* -1/2 (pow x 2))) 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)) (*.f64 a a))
(* -1 (* a (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) a)
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* -1 (* a (+ (* -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))) 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)) (*.f64 x x)) 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 (*.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)
(* x (+ 1 (* 1/2 (* a x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x)) a x)
(* x (+ 1/2 (* 1/6 (* a x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x))
(sqrt x)
(sqrt.f64 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 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(*.f64 (*.f64 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 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x)
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x))
(* -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 (*.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)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(*.f64 (*.f64 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 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* -1 (* a x))
(*.f64 (neg.f64 a) x)
(* -1 x)
(neg.f64 x)
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 x x))
(* -1 (* a (* x (pow (sqrt -1) 2))))
(*.f64 a x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(*.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)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))

rewrite67.0ms (1.5%)

Memory
7.0MiB live, 52.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035276
057243
1182243
01126233
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
28 → 419
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 a x)
a
x
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
(*.f64 a (sqrt.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 x x))
(*.f64 x x)
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a)
(fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x)
(*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 a x) x) a))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 a x) x) a)
(*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 a x) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (*.f64 x x)) a) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64))) a) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a (neg.f64 x)))
(/.f64 (*.f64 a (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 (*.f64 a (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 (*.f64 (sqrt.f64 x) a) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 (*.f64 (sqrt.f64 x) a) (sqrt.f64 x) (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) a) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) a) (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a (*.f64 a x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) (*.f64 a x))
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 a x (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a) (*.f64 a x))
(+.f64 (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)) (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(+.f64 (*.f64 a x) (*.f64 a (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 a (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 (*.f64 (*.f64 a (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (*.f64 (*.f64 a (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) a)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 a x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) x) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) a) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) a) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))

eval78.0ms (1.8%)

Memory
17.6MiB live, 107.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 18 927 to 2 540 computations (86.6% saved)

prune88.0ms (2%)

Memory
-1.2MiB live, 49.2MiB allocated; 11ms collecting garbage
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New6754679
Fresh145
Picked145
Done055
Total67717694
Accuracy
100.0%
Counts
694 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (expm1.f64 (*.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
57.5%
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
4.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
21.1%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
22.5%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
50.6%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 x) a)) (sqrt.f64 x) x) a))
44.2%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
66.2%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
65.5%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) x) x) a))
64.9%
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
50.4%
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))))
50.5%
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
44.5%
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
65.9%
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
Compiler

Compiled 883 to 389 computations (55.9% saved)

regimes148.0ms (3.4%)

Memory
-8.3MiB live, 38.0MiB allocated; 3ms collecting garbage
Counts
30 → 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))
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 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(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 x) a)) (sqrt.f64 x) x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))) (expm1.f64 (*.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

120.0ms
a
8.0ms
x
7.0ms
(*.f64 a x)
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1(*.f64 a x)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1a
100.0%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes32.0ms (0.7%)

Memory
-0.5MiB live, 44.9MiB allocated; 3ms collecting garbage
Counts
25 → 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))
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 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(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 x) (sqrt.f64 x))) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 x) a)) (sqrt.f64 x) x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))))
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
Calls

5 calls:

7.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms
x
6.0ms
a
6.0ms
(*.f64 a x)
5.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
66.2%1(*.f64 a x)
66.2%1(exp.f64 (*.f64 a x))
66.2%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
66.2%1a
66.2%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes26.0ms (0.6%)

Memory
-2.4MiB live, 41.9MiB allocated; 3ms collecting garbage
Counts
19 → 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))
#s(approx (- (exp (* x a)) 1) (*.f64 a (sqrt.f64 (*.f64 x x))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (* 1/6 a) x) 1/2) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (*.f64 a (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 #s(approx (+ (* (* 1/6 a) x) 1/2) (*.f64 (*.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

5 calls:

7.0ms
x
5.0ms
a
5.0ms
(*.f64 a x)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
65.9%1(exp.f64 (*.f64 a x))
65.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
65.9%1x
65.9%1(*.f64 a x)
65.9%1a
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
a
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
22.5%1a
22.5%1(*.f64 a x)
22.5%1x
22.5%1(exp.f64 (*.f64 a x))
22.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify55.0ms (1.2%)

Memory
-23.0MiB live, 30.8MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344
13944
25944
310544
429144
5210944
6543544
Stop Event
node limit
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) 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))
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations664.0ms (15.2%)

Memory
20.1MiB live, 392.1MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040289
063286
1230286
21509286
08361280
063203
1236203
2889195
33196195
45768195
08321170
0215872
1792872
23005772
08371676
0616
0916
13116
217716
3179216
0807914
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 44 to 23 computations (47.7% saved)

preprocess37.0ms (0.9%)

Memory
-8.8MiB live, 36.2MiB allocated; 4ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 124 to 82 computations (33.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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