expax (section 3.5)

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze24.0ms (0.7%)

Memory
-9.1MiB live, 35.1MiB allocated; 9ms 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)

sample658.0ms (19.4%)

Memory
37.0MiB live, 976.3MiB allocated; 189ms collecting garbage
Samples
390.0ms8 256×0valid
13.0ms310×0invalid
Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-expm1: 100.0ms (56% of total)
ival-mult!: 76.0ms (42.5% of total)
adjust: 2.0ms (1.1% of total)
ival->: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain90.0ms (2.6%)

Memory
-24.5MiB live, 72.0MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-a
01(-3.437222930152106e+58 -6.567965132475952e-57)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))cancellation1340
exp.f64(exp.f64 (*.f64 a x))sensitivity10
Confusion
Predicted +Predicted -
+1340
-1121
Precision
0.9925925925925926
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-10121
Precision?
0.9925925925925926
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-exp: 19.0ms (73.9% of total)
ival-expm1: 3.0ms (11.7% of total)
ival-mult!: 3.0ms (11.7% of total)
adjust: 0.0ms (0% of total)

preprocess219.0ms (6.4%)

Memory
34.1MiB live, 164.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14542
28142
321942
497742
066
096
1176
2356
3846
42976
527336
084564
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms 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
1.0ms
a
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite888.0ms (26.1%)

Memory
-170.0MiB live, 160.0MiB allocated; 1.1s 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)

eval6.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 709 to 182 computations (74.3% saved)

prune4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48654
Fresh000
Picked011
Done000
Total48755
Accuracy
100.0%
Counts
55 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
21.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
65.6%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
68.7%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 142 to 108 computations (23.9% saved)

series17.0ms (0.5%)

Memory
-21.9MiB live, 30.6MiB allocated; 9ms 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
6.0ms
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)
4.0ms
x
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 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
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)

rewrite260.0ms (7.7%)

Memory
7.1MiB live, 193.8MiB allocated; 20ms 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)))
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(/.f64 (-.f64 (*.f64 a a) (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)))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (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)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a)
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a)
(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))))

eval37.0ms (1.1%)

Memory
-13.9MiB live, 76.3MiB allocated; 10ms collecting garbage
Compiler

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

prune11.0ms (0.3%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3084312
Fresh101
Picked145
Done011
Total3109319
Accuracy
100.0%
Counts
319 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.0%
(-.f64 #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(literal 1 binary64))
21.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.6%
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
67.7%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
20.2%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
68.7%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 119 to 87 computations (26.9% saved)

series19.0ms (0.6%)

Memory
-8.8MiB live, 37.7MiB allocated; 3ms collecting garbage
Counts
23 → 74
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
#s(literal 1/2 binary64)
(*.f64 a x)
a
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)
#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)
(-.f64 #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(literal 1 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)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x 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 (* (+ (* (* (* 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 (* (* 1/2 (* a x)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* 1/2 (* a x)) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#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) 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)) #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 x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* 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 (- (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 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 (+ (* (* (* 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 (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#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 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 (+ (* (* (* 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 (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 x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* 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 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 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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 a) x) 1/2) a) #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)))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) 1/2 (* a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
3.0ms
a
@0
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) 1/2 (* a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
3.0ms
x
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) 1/2 (* a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
3.0ms
x
@inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) 1/2 (* a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
2.0ms
x
@0
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) 1/2 (* a x) a x (- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)

rewrite235.0ms (6.9%)

Memory
13.8MiB live, 258.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281643
02551564
111311555
087371498
Stop Event
iter limit
node limit
iter limit
Counts
97 → 517
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(*.f64 #s(literal 1/2 binary64) (*.f64 a x))
#s(literal 1/2 binary64)
(*.f64 a x)
a
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)
#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)
(-.f64 #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(literal 1 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)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x 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 (* (+ (* (* (* 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 (* (* 1/2 (* a x)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* 1/2 (* a x)) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#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) 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)) #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 x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* 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 (- (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 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 (+ (* (* (* 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 (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#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 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 (+ (* (* (* 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 (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 x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* 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 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 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 (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 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 a) x) 1/2) a) #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)))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
(*.f64 #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x)
(*.f64 x #s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) a)
(*.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a))
(*.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 (*.f64 x a) a) #s(literal -1/2 binary64)))
(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) a)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) a)
(*.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))
(neg.f64 (*.f64 (*.f64 x a) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x a)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x a)
(*.f64 a x)
a
x
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#s(literal 1 binary64)
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#s(approx a a)
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#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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#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) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
#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 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#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 x) a) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.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 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 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x)))

eval55.0ms (1.6%)

Memory
-14.6MiB live, 121.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 11 134 to 1 662 computations (85.1% saved)

prune16.0ms (0.5%)

Memory
-14.4MiB live, 43.8MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4483451
Fresh000
Picked224
Done055
Total45010460
Accuracy
100.0%
Counts
460 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
21.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
3.6%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
5.8%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
20.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.7%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
20.2%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
68.7%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 166 to 119 computations (28.3% saved)

series22.0ms (0.6%)

Memory
4.3MiB live, 51.2MiB allocated; 2ms collecting garbage
Counts
26 → 90
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.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) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) 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)
(/.f64 a x)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x a) x)
(*.f64 x 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 (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 x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#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 x) #s(hole binary64 (/ a x)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#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 x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x a) x) 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 (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 x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ 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 a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) 1/2 x (/ x a) a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a))
4.0ms
x
@inf
((- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) 1/2 x (/ x a) a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a))
3.0ms
x
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) 1/2 x (/ x a) a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a))
3.0ms
a
@inf
((- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) 1/2 x (/ x a) a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a))
2.0ms
a
@0
((- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) 1/2 x (/ x a) a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a))

rewrite238.0ms (7%)

Memory
36.1MiB live, 219.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02582127
02812019
112482012
086721965
Stop Event
iter limit
node limit
iter limit
Counts
116 → 645
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.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) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) 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)
(/.f64 a x)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x a) x)
(*.f64 x 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 x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#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 x) #s(hole binary64 (/ a x)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#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 x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (+ (* (* (* x a) x) 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 (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 x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ 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 a) x) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))))))
(fma.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))))))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (*.f64 a a))
(*.f64 a (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a))
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#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x) a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) a))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) a) x))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) a) x #s(literal 1 binary64)))
#s(approx (+ (* (* (* x a) x) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* (* a a) 1/2) (/ a x)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (+ (* (* (* x a) x) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x 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 (+ (* (+ (* (* (* x a) x) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x)))

eval113.0ms (3.3%)

Memory
-14.9MiB live, 175.4MiB allocated; 24ms collecting garbage
Compiler

Compiled 24 204 to 3 129 computations (87.1% saved)

prune20.0ms (0.6%)

Memory
14.7MiB live, 61.7MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6494653
Fresh000
Picked213
Done077
Total65112663
Accuracy
100.0%
Counts
663 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
21.9%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
6.0%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
3.8%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
8.3%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
5.8%
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
20.6%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.7%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
20.2%
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
68.7%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 650 to 283 computations (56.5% saved)

regimes56.0ms (1.6%)

Memory
-36.2MiB live, 61.6MiB allocated; 64ms collecting garbage
Counts
18 → 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

36.0ms
(*.f64 a x)
6.0ms
x
5.0ms
a
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(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)

regimes26.0ms (0.8%)

Memory
2.6MiB live, 50.9MiB allocated; 7ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.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 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #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(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) 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))
Calls

5 calls:

9.0ms
(*.f64 a x)
4.0ms
x
4.0ms
a
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
73.3%2(*.f64 a x)
73.3%2(exp.f64 (*.f64 a x))
73.3%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
72.7%2a
68.7%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.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 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

4 calls:

3.0ms
a
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
71.0%2a
70.7%2(*.f64 a x)
70.7%2(exp.f64 (*.f64 a x))
70.7%2(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes11.0ms (0.3%)

Memory
-26.9MiB live, 19.8MiB allocated; 4ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

4 calls:

5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms
a
2.0ms
(*.f64 a x)
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
68.7%1(exp.f64 (*.f64 a x))
68.7%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
68.7%1(*.f64 a x)
68.7%1a
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB 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
a
1.0ms
x
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
20.6%1a
20.6%1(exp.f64 (*.f64 a x))
20.6%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.6%1x
20.6%1(*.f64 a x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.0002846585019741221
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch8.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-1.999683974602735e+190
-9.609311763727155e+188
Samples
4.0ms112×0valid
Compiler

Compiled 359 to 261 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-expm1: 1.0ms (70.4% of total)
ival-mult!: 1.0ms (70.4% of total)
adjust: 0.0ms (0% of total)

simplify60.0ms (1.8%)

Memory
-3.9MiB live, 95.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050140
180140
2170140
3494140
41394140
54619140
Stop Event
node limit
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) 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)))
(if (<=.f64 a #s(literal -13999999999999999828642475291561133564012693108629409785765205891744110827386295458326214943087576314918151273649530059557045809551623550393534347419649242664876129836466563249411989079851008 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) 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)))
(if (<=.f64 a #s(literal -13999999999999999828642475291561133564012693108629409785765205891744110827386295458326214943087576314918151273649530059557045809551623550393534347419649242664876129836466563249411989079851008 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations224.0ms (6.6%)

Memory
-7.3MiB live, 280.1MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 140 to 52 computations (62.9% saved)

preprocess62.0ms (1.8%)

Memory
-23.0MiB live, 72.5MiB allocated; 9ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 580 to 298 computations (48.6% saved)

end0.0ms (0%)

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

Profiling

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