expax (section 3.5)

Time bar (total: 2.3s)

analyze27.0ms (1.2%)

Algorithm
1×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%6.3%0%0%0%6
75.9%68.7%21.9%9.5%0%0%0%7
80%68.7%17.2%14.1%0%0%0%8
86%71.8%11.7%16.5%0%0%0%9
88.9%71.8%9%19.2%0%0%0%10
92.4%73.4%6%20.6%0%0%0%11
94.1%73.4%4.6%22%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 3.0ms (29.1% of total)
ival-mult: 3.0ms (29.1% of total)
ival-sub: 2.0ms (19.4% of total)
ival->: 2.0ms (19.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (63.3%)

Results
753.0ms5354×1valid
167.0ms2902×0valid
16.0ms310×0precondition
Precisions
Click to see histograms. Total time spent on operations: 623.0ms
ival-exp: 266.0ms (42.7% of total)
ival-mult: 124.0ms (19.9% of total)
ival-sub: 89.0ms (14.3% of total)
ival->: 73.0ms (11.7% of total)
backward-pass: 57.0ms (9.2% of total)
const: 14.0ms (2.2% of total)
Bogosity

preprocess57.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fmm-def
12×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

explain97.0ms (4.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1600-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10-0-(exp.f64 (*.f64 a x))
00-0-x
00-0-(*.f64 a x)
00-0-#s(literal 1 binary64)
00-0-a
Results
61.0ms366×1valid
9.0ms146×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-exp: 22.0ms (54.9% of total)
ival-mult: 7.0ms (17.5% of total)
ival-sub: 5.0ms (12.5% of total)
backward-pass: 5.0ms (12.5% of total)
const: 1.0ms (2.5% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 a x)
✓cost-diff0
(expm1.f64 (*.f64 a x))
Rules
3×1-exp
2×exp-prod
1×expm1-undefine
1×*-commutative
1×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22638
32738
Stop Event
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x

localize96.0ms (4.2%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a x)
✓accuracy100.0%
(expm1.f64 (*.f64 a x))
Results
84.0ms183×5exit
4.0ms73×0valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
backward-pass: 50.0ms (82.7% of total)
compiled-spec: 4.0ms (6.6% of total)
ival-exp: 2.0ms (3.3% of total)
ival-mult: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)

series4.0ms (0.2%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
Outputs
#<alt (*.f64 a x)>
#<alt (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (*.f64 a x)>
#<alt (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))>
Calls

12 calls:

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

rewrite389.0ms (17.1%)

Algorithm
1×batch-egg-rewrite
Rules
319×log1p-expm1-u
318×expm1-log1p-u
311×unpow-prod-down
305×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
18230
289430
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.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 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))

simplify87.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
640×fma-define
504×associate-*r*
486×fmm-def
383×associate-*l*
327×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02302715
14832659
214392643
351322627
Stop Event
1×node limit
Counts
93 → 100
Calls
Call 1
Inputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.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 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 a x))
(log.f64 (pow.f64 (exp.f64 a) x))
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
Outputs
(*.f64 a x)
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 a (+.f64 x (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 a (fma.f64 a (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 a (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x))
(*.f64 x (+.f64 a (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.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))))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 a x)) (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 a x))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) #s(literal 2 binary64))
(expm1.f64 (*.f64 a x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(*.f64 a x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(pow.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a x)
(pow.f64 (sqrt.f64 (*.f64 a x)) #s(literal 2 binary64))
(*.f64 a x)
(pow.f64 (E.f64) (log.f64 (*.f64 a x)))
(*.f64 a x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a x)))) (sqrt.f64 (log.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(*.f64 a x)
(fabs.f64 (*.f64 a x))
(*.f64 a x)
(log.f64 (pow.f64 (exp.f64 a) x))
(*.f64 a x)
(cbrt.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)))
(*.f64 a x)
(expm1.f64 (log1p.f64 (*.f64 a x)))
(*.f64 a x)
(log1p.f64 (expm1.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (log.f64 (*.f64 a x)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a x))) #s(literal 3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 a x))) #s(literal 1/3 binary64)))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a x))) #s(literal 2 binary64)))
(*.f64 a x)

eval12.0ms (0.5%)

Compiler

Compiled 1282 to 341 computations (73.4% saved)

prune39.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh000
Picked011
Done000
Total974101
Accuracy
100.0%
Counts
101 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.8%
(*.f64 a x)
▶98.6%
(expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64)))
✓100.0%
(expm1.f64 (*.f64 a x))
▶40.2%
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify14.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a x)
cost-diff0
(*.f64 a x)
✓cost-diff0
(cbrt.f64 (*.f64 a x))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
✓cost-diff12864
(expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64)))
cost-diff0
(*.f64 a x)
cost-diff0
(expm1.f64 (*.f64 a x))
✓cost-diff0
(log.f64 (expm1.f64 (*.f64 a x)))
✓cost-diff12800
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
Rules
5×exp-prod
3×1-exp
2×expm1-undefine
1×cube-mult
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016166
125166
241166
343166
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 3 binary64)
(*.f64 a x)
a
x
Outputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 a x)
a
x
(expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (*.f64 a x)) #s(literal 3 binary64))
(*.f64 a x)
(cbrt.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 3 binary64)
(*.f64 a x)
a
x

localize0.0ms (0%)

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-cbrt: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
compiled-spec: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

end0.0ms (0%)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
backward-pass: 0.0ms (0% of total)
compiled-spec: 0.0ms (0% of total)

Profiling

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