Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 3.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 8 computations (33.3% 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)

sample2.1s (65.1%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 770.0ms
ival-mult: 686.0ms (89.1% of total)
ival-sub: 70.0ms (9.1% of total)
const: 11.0ms (1.4% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess110.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
597×fma-neg
216×fma-define
172×unsub-neg
163×associate-*r*
148×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 y x)))
(*.f64 y (*.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 y x)))
(*.f64 y (*.f64 #s(literal -2 binary64) (-.f64 x y)))

explain68.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Results
42.0ms512×0valid
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 14.0ms (78.6% of total)
ival-sub: 3.0ms (16.8% of total)
const: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize28.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Results
21.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.5% of total)
ival-sub: 2.0ms (34.2% of total)
const: 1.0ms (17.1% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))>
Outputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* 2 (* x (- x y)))
1.0ms
x
@inf
(* 2 (* x (- x y)))
1.0ms
x
@0
(* 2 (* x (- x y)))
1.0ms
y
@inf
(* 2 (* x (- x y)))
0.0ms
y
@-inf
(* 2 (* x (- x y)))

rewrite179.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
610×log1p-expm1-u
610×expm1-log1p-u
590×unpow-prod-down
359×prod-diff
325×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
112028
2162228
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Outputs
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))

simplify90.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
661×fma-neg
407×associate-*r*
358×associate-*l*
345×associate-+l+
316×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01101698
12511674
27011602
331731596
463921596
Stop Event
1×node limit
Counts
52 → 50
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y))))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))

eval8.0ms (0.3%)

Compiler

Compiled 608 to 375 computations (38.3% saved)

prune9.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New47350
Fresh000
Picked101
Done000
Total48351
Accuracy
100.0%
Counts
51 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
▶57.6%
(*.f64 x (*.f64 #s(literal -2 binary64) y))
▶57.6%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 23 to 16 computations (30.4% saved)

localize54.0ms (1.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Results
38.0ms256×0valid
Compiler

Compiled 43 to 20 computations (53.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 15.0ms (86% of total)
ival-sub: 1.0ms (5.7% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
Outputs
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* -2 (* x y))
1.0ms
y
@inf
(* -2 (* x y))
1.0ms
x
@inf
(* -2 (* x y))
1.0ms
y
@0
(* -2 (* x y))
0.0ms
x
@-inf
(* -2 (* x y))

rewrite106.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
408×unpow-prod-down
362×log1p-expm1-u
362×expm1-log1p-u
348×add-exp-log
336×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
18819
2100819
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))

simplify68.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1123×fma-define
467×fma-neg
394×associate-+r-
288×prod-exp
287×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
069559
1118559
2290559
31436559
43120557
55202557
Stop Event
1×node limit
Counts
21 → 27
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))
(*.f64 (log.f64 (fabs.f64 (exp.f64 (fabs.f64 (*.f64 x y))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) #s(literal -2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))

eval5.0ms (0.1%)

Compiler

Compiled 271 to 191 computations (29.5% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh000
Picked033
Done000
Total27330
Accuracy
100.0%
Counts
30 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
✓57.6%
(*.f64 x (*.f64 #s(literal -2 binary64) y))
✓57.6%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 58 to 35 computations (39.7% saved)

regimes9.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
2.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
57.6%1x
57.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
57.6%1x
57.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
9×*-commutative
2×sub-neg
2×+-commutative
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
12994
23494
33694
43794
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Outputs
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))

soundness334.0ms (10.3%)

Rules
661×fma-neg
597×fma-neg
407×associate-*r*
358×associate-*l*
345×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
01101698
12511674
27011602
331731596
463921596
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 150 to 95 computations (36.7% saved)

preprocess33.0ms (1%)

Compiler

Compiled 92 to 56 computations (39.1% saved)

end0.0ms (0%)

Profiling

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