Data.Colour.CIE:lightness from colour-2.3.3

Time bar (total: 1.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

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

sample914.0ms (48.9%)

Results
562.0ms8182×0valid
3.0ms45×1valid
29.0ms29×2valid
Precisions
Click to see histograms. Total time spent on operations: 443.0ms
ival-mult: 226.0ms (51% of total)
ival-sub: 174.0ms (39.3% of total)
backward-pass: 29.0ms (6.5% of total)
const: 15.0ms (3.4% of total)
Bogosity

preprocess50.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
68×fma-neg
18×fma-define
14×distribute-lft-neg-in
12×cancel-sign-sub-inv
10×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01460
13060
25752
310748
418848
524748
626748
727648
828448
928948
1029048
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (*.f64 (neg.f64 x) #s(literal 116 binary64)) #s(literal 16 binary64))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 116 binary64)) #s(literal 16 binary64)))
Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 (neg.f64 x) #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 (neg.f64 x) #s(literal 116 binary64) #s(literal -16 binary64))
(+.f64 (*.f64 x #s(literal -116 binary64)) #s(literal -16 binary64))
(fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 116 binary64)) #s(literal 16 binary64)))
(neg.f64 (fma.f64 (neg.f64 x) #s(literal 116 binary64) #s(literal -16 binary64)))
(+.f64 (neg.f64 (*.f64 x #s(literal -116 binary64))) #s(literal 16 binary64))
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))

explain51.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x #s(literal 116 binary64))
00-0-#s(literal 116 binary64)
00-0-#s(literal 16 binary64)
00-0-(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Results
29.0ms508×0valid
1.0ms4×2valid
Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.8% of total)
ival-sub: 3.0ms (35.1% of total)
const: 1.0ms (11.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶100.0%
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize43.0ms (2.3%)

Algorithm
2×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓cost-diff-6272
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓cost-diff0
(*.f64 x #s(literal 116 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 116 binary64))
✓accuracy100.0%
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Rules
2×fma-neg
1×fma-undefine
1×*-commutative
1×fma-define
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
11628
21828
0818
11118
21318
31418
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)
Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(literal -16 binary64)
Call 2
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)
Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)
Results
19.0ms254×0valid
0.0ms2×2valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.8% of total)
ival-fma: 3.0ms (32.9% of total)
const: 1.0ms (11% of total)
ival-sub: 1.0ms (11% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.2%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))>
#<alt (*.f64 x #s(literal 116 binary64))>
#<alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))>
Outputs
#<alt #s(literal -16 binary64)>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt #s(literal -16 binary64)>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (* x 116) 16)
0.0ms
x
@-inf
(* x 116)
0.0ms
x
@inf
(* x 116)
0.0ms
x
@0
(- (* x 116) 16)
0.0ms
x
@0
(* x 116)

rewrite284.0ms (15.2%)

Algorithm
1×batch-egg-rewrite
Rules
377×log1p-expm1-u
377×expm1-log1p-u
358×add-exp-log
347×add-log-exp
345×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
18934
2102334
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 (*.f64 x #s(literal 116 binary64)) (log.f64 (exp.f64 #s(literal -16 binary64))))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))))
(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)))) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(fma.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64) #s(literal -16 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 116 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 116 binary64))) #s(literal 2 binary64)) #s(literal -16 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 116 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 116 binary64))) #s(literal -16 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 116 binary64)) #s(literal -16 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 116 binary64))) (sqrt.f64 (*.f64 x #s(literal 116 binary64))) #s(literal -16 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 116 binary64)) #s(literal -16 binary64))
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(fma.f64 (*.f64 #s(literal 116 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -16 binary64))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))))
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(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
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(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (log.f64 (E.f64)))
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(*.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
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(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)))
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(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)))

simplify108.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
880×times-frac
443×associate-*r*
429×fma-neg
400×distribute-lft-in
397×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02444528
14364340
211114316
354704292
Stop Event
1×node limit
Counts
177 → 118
Calls
Call 1
Inputs
#s(literal -16 binary64)
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
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(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)))
Outputs
#s(literal -16 binary64)
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 x (-.f64 #s(literal 116 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 116 binary64))))
(*.f64 x (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)))
(*.f64 x (+.f64 #s(literal 116 binary64) (/.f64 #s(literal -16 binary64) x)))
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(+.f64 (*.f64 x #s(literal 116 binary64)) (log.f64 (exp.f64 #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))))
(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (log.f64 (E.f64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -13456 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -13456 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -13456 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -13456 binary64) #s(literal 256 binary64)) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
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(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))))) (sqrt.f64 (log.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))))
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(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 2 binary64)))
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(log.f64 (exp.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))

eval14.0ms (0.8%)

Compiler

Compiled 1376 to 352 computations (74.4% saved)

prune15.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh000
Picked022
Done000
Total1164120
Accuracy
100.0%
Counts
120 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓100.0%
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶54.4%
(*.f64 #s(literal 116 binary64) x)
▶47.1%
#s(literal -16 binary64)
Compiler

Compiled 17 to 14 computations (17.6% saved)

localize45.0ms (2.4%)

Algorithm
2×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 116 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal 116 binary64) x)
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
0715
1815
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 116 binary64) x)
#s(literal 116 binary64)
x
Outputs
(*.f64 #s(literal 116 binary64) x)
#s(literal 116 binary64)
x
Call 2
Inputs
#s(literal -16 binary64)
Outputs
#s(literal -16 binary64)
Results
20.0ms256×0valid
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 13.0ms (99.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 116 binary64) x)>
Outputs
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* 116 x)
0.0ms
x
@inf
(* 116 x)
0.0ms
x
@-inf
(* 116 x)

rewrite145.0ms (7.8%)

Algorithm
1×batch-egg-rewrite
Rules
1026×log1p-expm1-u
483×expm1-log1p-u
314×associate-*r*
287×associate-*l*
175×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
14610
248910
3580610
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 #s(literal 116 binary64) x)
Outputs
(+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 232 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 116 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)))
(fabs.f64 (*.f64 #s(literal 116 binary64) x))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 116 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 2 binary64)))

simplify65.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
620×sub-neg
531×times-frac
338×associate-*r*
315×div-sub
312×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083486
1158482
2395475
31645471
44846471
Stop Event
1×node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 232 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 116 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)))
(fabs.f64 (*.f64 #s(literal 116 binary64) x))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 116 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 116 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 232 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 232 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 116 binary64)) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 58 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 116 binary64) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 116 binary64) x)
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 116 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 116 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 116 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 116 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 116 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 116 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 13456 binary64)))
(*.f64 #s(literal 116 binary64) x)
(fabs.f64 (*.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) #s(literal 116 binary64)))
(*.f64 #s(literal 116 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 116 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 116 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(*.f64 #s(literal 116 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 116 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1560896 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 116 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 116 binary64) x)

eval4.0ms (0.2%)

Compiler

Compiled 332 to 100 computations (69.9% saved)

prune10.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New33033
Fresh000
Picked022
Done022
Total33437
Accuracy
100.0%
Counts
37 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓100.0%
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓54.4%
(*.f64 #s(literal 116 binary64) x)
✓47.1%
#s(literal -16 binary64)
Compiler

Compiled 31 to 22 computations (29% saved)

regimes14.0ms (0.7%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
Calls

3 calls:

9.0ms
(*.f64 x #s(literal 116 binary64))
2.0ms
x
2.0ms
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
100.0%1(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Calls

3 calls:

4.0ms
x
2.0ms
(*.f64 x #s(literal 116 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
100.0%1(*.f64 x #s(literal 116 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
Outputs
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -16 binary64)
Outputs
#s(literal -16 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
47.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch27.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
7.610239313791878e-7
483823.97238178574
14.0ms
-10.95138362381936
-1.1067189307866959e-10
Results
15.0ms320×0valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (77.2% of total)
ival-sub: 2.0ms (25.7% of total)
const: 1.0ms (12.9% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×sub-neg
2×*-commutative
2×+-commutative
2×if-if-or-not
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271
13271
23771
33971
44071
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
#s(literal -16 binary64)
Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal 116 binary64) x) (if (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
(if (or (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (not (<=.f64 x #s(literal 607985949695017/4503599627370496 binary64)))) (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
#s(literal -16 binary64)

soundness28.0ms (1.5%)

Rules
68×fma-neg
18×fma-define
14×distribute-lft-neg-in
12×cancel-sign-sub-inv
10×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01460
13060
25752
310748
418848
524748
626748
727648
828448
928948
1029048
Stop Event
1×done
1×saturated
Compiler

Compiled 39 to 23 computations (41% saved)

preprocess29.0ms (1.6%)

Compiler

Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Profiling

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