expax (section 3.5)

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze19.0ms (1%)

Memory
20.4MiB live, 20.4MiB 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)

sample509.0ms (28.3%)

Memory
4.6MiB live, 528.5MiB allocated; 48ms collecting garbage
Samples
302.0ms8 256×0valid
13.0ms322×0invalid
Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-expm1: 60.0ms (52.3% of total)
ival-mult!: 51.0ms (44.5% of total)
adjust: 2.0ms (1.7% of total)
ival->: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain68.0ms (3.8%)

Memory
-12.2MiB live, 81.4MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 a x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))cancellation1410
Confusion
Predicted +Predicted -
+1410
-0115
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14100
-00115
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0115
1141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-expm1: 5.0ms (41.1% of total)
ival-exp: 4.0ms (32.9% of total)
ival-mult!: 3.0ms (24.7% of total)
adjust: 0.0ms (0% of total)

preprocess21.0ms (1.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14542
28142
321942
497742
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series48.0ms (2.6%)

Memory
-45.4MiB live, 7.8MiB allocated; 42ms collecting garbage
Counts
6 → 18
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
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
a
@0
((- (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
a
@inf
((- (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
x
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite144.0ms (8%)

Memory
34.7MiB live, 162.5MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084321
087321
1479321
04482278
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
24 → 56
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)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Outputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))))
(exp.f64 (fma.f64 x a #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.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)))
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x a)
(*.f64 a x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64))
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.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))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (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(approx (- (exp (* a x)) 1) (*.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))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (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)))
#s(approx x x)

eval5.0ms (0.3%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 709 to 182 computations (74.3% saved)

prune3.0ms (0.2%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New49554
Fresh000
Picked101
Done000
Total50555
Accuracy
100.0%
Counts
55 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
68.9%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
71.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 100 to 78 computations (22% saved)

series10.0ms (0.6%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
17 → 48
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)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.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))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
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)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
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)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms
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)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
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)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite213.0ms (11.9%)

Memory
-6.4MiB live, 92.8MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168920
0180874
1860866
07046835
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
65 → 307
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)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.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))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Outputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (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 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(-.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 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a (*.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 x a)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))
x
a
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) a) x)
(*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) x) a)
(*.f64 a (+.f64 (pow.f64 a #s(literal -1 binary64)) x))
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) a))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) a) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (*.f64 a (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (*.f64 x (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
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(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a)
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) a) a)
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a x)) a))
(-.f64 a (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 a (*.f64 (neg.f64 (*.f64 (*.f64 a x) a)) #s(literal 1/2 binary64)))
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)
(+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (neg.f64 a) x) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) x))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 a x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a)
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.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))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.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))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 a) x))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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))
#s(approx x x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (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)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))

eval32.0ms (1.8%)

Memory
-8.2MiB live, 37.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 372 to 1 076 computations (83.1% saved)

prune13.0ms (0.7%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3084312
Fresh000
Picked145
Done000
Total3098317
Accuracy
100.0%
Counts
317 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
71.8%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
66.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
71.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
56.5%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
71.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 115 to 82 computations (28.7% saved)

series21.0ms (1.2%)

Memory
-26.3MiB live, 20.9MiB allocated; 2ms collecting garbage
Counts
23 → 75
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x))
(*.f64 a a)
a
#s(literal 1/2 binary64)
(/.f64 a x)
x
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a x) a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x)))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@0
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x))
3.0ms
x
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x))
3.0ms
a
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x))
3.0ms
a
@inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x))
3.0ms
x
@inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) a 1/2 (/ a x) x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x))

rewrite202.0ms (11.2%)

Memory
2.3MiB live, 141.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111609
02351530
19091518
067921473
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
98 → 621
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x))
(*.f64 a a)
a
#s(literal 1/2 binary64)
(/.f64 a x)
x
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a x) a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x)))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) x))
(*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)) x)
(*.f64 x #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x)
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64))) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 a x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (/.f64 a x)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 a x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (/.f64 a x) (-.f64 (/.f64 a x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (/.f64 a x) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 a x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 a x) x) (*.f64 (/.f64 a x) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (/.f64 a x) x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 (/.f64 a x) x))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 a x) x))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a) (*.f64 (/.f64 a x) x))
(fma.f64 (/.f64 a x) x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) (*.f64 (/.f64 a x) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) (*.f64 (/.f64 a x) x))
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a x) x))
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) (/.f64 a x))
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a
#s(literal 1/2 binary64)
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(/.f64 (neg.f64 a) (neg.f64 x))
(/.f64 a x)
(neg.f64 (/.f64 (neg.f64 a) x))
x
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(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 x a))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 x a))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 x a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 x a))
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 x a))
(fma.f64 x a (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x))
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 a x (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) x))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 a) x))))
(-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) x))
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) x))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x a) a)))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 (*.f64 x a) a)) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 x a) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(-.f64 (*.f64 x a) (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (fma.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x))
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))
(+.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.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))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) a)
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) a)
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (/ a x) (/.f64 a x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) a)
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (* a x) a) (*.f64 (*.f64 x a) a))
#s(approx (* a x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* x x) a) 1/2) x) x)
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (* x x) a) (*.f64 (*.f64 x x) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx x x)
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a) (*.f64 x x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))

eval47.0ms (2.6%)

Memory
5.2MiB live, 50.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 552 to 1 862 computations (85.2% saved)

prune15.0ms (0.8%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4562458
Fresh000
Picked044
Done044
Total45610466
Accuracy
100.0%
Counts
466 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
71.8%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
66.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
71.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
71.8%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
56.5%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
56.8%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x))
71.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 182 to 124 computations (31.9% saved)

series16.0ms (0.9%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
19 → 50
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x))
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
(/.f64 a x)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)
(*.f64 #s(literal 1/2 binary64) (*.f64 x a))
#s(literal 1/2 binary64)
(*.f64 x a)
(/.f64 (*.f64 (neg.f64 a) x) x)
(*.f64 (neg.f64 a) x)
(neg.f64 a)
Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 a))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* 1/2 (* x a)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* 1/2 (* x a)) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (* (neg a) x) x) #s(hole binary64 (* -1 a)))
#s(approx (* (neg a) x) #s(hole binary64 (* -1 (* a x))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) (* -1 a))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Calls

6 calls:

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

rewrite215.0ms (12%)

Memory
-32.8MiB live, 113.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731185
01871168
17931065
06221960
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
69 → 282
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x))
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
(/.f64 a x)
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x)))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)
(*.f64 #s(literal 1/2 binary64) (*.f64 x a))
#s(literal 1/2 binary64)
(*.f64 x a)
(/.f64 (*.f64 (neg.f64 a) x) x)
(*.f64 (neg.f64 a) x)
(neg.f64 a)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 a))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* 1/2 (* x a)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* 1/2 (* x a)) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (* (neg a) x) x) #s(hole binary64 (* -1 a)))
#s(approx (* (neg a) x) #s(hole binary64 (* -1 (* a x))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (- (* 1/2 (* (pow a 2) x)) (* -1 a))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
#s(approx (- (* (* 1/2 (* x a)) a) (/ (* (neg a) x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x)
(*.f64 x #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x))
(*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)
(*.f64 x #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) a) a)
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) (*.f64 a a))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) x))
(*.f64 (*.f64 a a) (pow.f64 (*.f64 x a) #s(literal -1 binary64)))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (pow.f64 (*.f64 x a) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) a)
(*.f64 a (*.f64 a (pow.f64 (*.f64 x a) #s(literal -1 binary64))))
(*.f64 a (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a a)) (*.f64 (neg.f64 a) x))
(/.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) x))
(/.f64 (*.f64 a a) (*.f64 x a))
(/.f64 (neg.f64 a) (neg.f64 x))
(/.f64 a (neg.f64 (neg.f64 x)))
(/.f64 a x)
(neg.f64 (/.f64 (neg.f64 a) x))
a
x
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) x)
(*.f64 x #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x))) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a) a)
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x))) x)
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)))
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(+.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) #s(literal -1 binary64)))
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(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 a x) x) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 a x) x))
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)
(+.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x))
(*.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) a)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x a))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(*.f64 (*.f64 x a) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) a))
(*.f64 a (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) x))
(*.f64 (*.f64 (neg.f64 a) x) #s(literal -1 binary64))
(*.f64 (neg.f64 a) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 a) x))
(*.f64 (*.f64 (/.f64 a x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 a x))
(*.f64 (/.f64 (neg.f64 a) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 a x) x))
(*.f64 #s(literal -1 binary64) a)
(*.f64 (neg.f64 a) #s(literal 1 binary64))
(*.f64 (/.f64 a x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 a))
(*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (/.f64 (neg.f64 a) x))
(*.f64 a #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 a) x) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 a) x) x)
(/.f64 (*.f64 x a) (neg.f64 x))
(neg.f64 (*.f64 (/.f64 a x) x))
(neg.f64 a)
(*.f64 (neg.f64 x) a)
(*.f64 #s(literal -1 binary64) (*.f64 x a))
(*.f64 (neg.f64 a) x)
(*.f64 (*.f64 x a) #s(literal -1 binary64))
(*.f64 x (neg.f64 a))
(*.f64 a (neg.f64 x))
(neg.f64 (*.f64 x a))
(*.f64 (*.f64 (/.f64 a x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 a x))
(*.f64 (/.f64 (neg.f64 a) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 a x) x))
(*.f64 #s(literal -1 binary64) a)
(*.f64 (neg.f64 a) #s(literal 1 binary64))
(*.f64 (/.f64 a x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (neg.f64 a))
(*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (/.f64 (neg.f64 a) x))
(*.f64 a #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 a) x) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 a) x) x)
(/.f64 (*.f64 x a) (neg.f64 x))
(neg.f64 (*.f64 (/.f64 a x) x))
(neg.f64 a)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.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))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (/ a x) (/.f64 a x))
#s(approx a a)
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (* 1/2 (* x a)) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (* x a)) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))
#s(approx (* x a) (*.f64 x a))
#s(approx (/ (* (neg a) x) x) (neg.f64 a))
#s(approx (* (neg a) x) (*.f64 (neg.f64 a) x))
#s(approx (/ (* (neg a) x) x) (neg.f64 a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx x x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))

eval25.0ms (1.4%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 885 to 1 288 computations (85.5% saved)

prune15.0ms (0.8%)

Memory
-26.2MiB live, 18.8MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2552257
Fresh000
Picked022
Done088
Total25512267
Accuracy
100.0%
Counts
267 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
71.8%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
66.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
71.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
71.8%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
71.6%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x))
56.5%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
28.9%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x))
56.8%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x)) x))
71.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 531 to 245 computations (53.9% saved)

regimes19.0ms (1%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Counts
14 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) 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 (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

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

regimes49.0ms (2.7%)

Memory
-26.7MiB live, 27.8MiB allocated; 40ms collecting garbage
Counts
12 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) 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 (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 a a) (*.f64 x a))) x)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (/.f64 (*.f64 (neg.f64 a) x) x))) x))
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) (*.f64 (*.f64 x a) (/.f64 #s(literal -1 binary64) x)))) x))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

5 calls:

5.0ms
x
4.0ms
a
3.0ms
(*.f64 a x)
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
71.9%1(*.f64 a x)
71.9%1(exp.f64 (*.f64 a x))
71.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
71.9%1a
71.9%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory
9.4MiB live, 9.4MiB 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
21.6%1(exp.f64 (*.f64 a x))
21.6%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.6%1(*.f64 a x)
21.6%1a
21.6%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations42.0ms (2.4%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess43.0ms (2.4%)

Memory
-32.5MiB live, 16.9MiB allocated; 7ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 108 to 82 computations (24.1% saved)

end0.0ms (0%)

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

Profiling

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