Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

Time bar (total: 1.9s)

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 9 to 6 computations (33.3% saved)

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

sample601.0ms (31.4%)

Results
380.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-mult: 94.0ms (56.6% of total)
ival-add: 61.0ms (36.7% of total)
const: 7.0ms (4.2% of total)
backward-pass: 3.0ms (1.8% of total)
Bogosity

preprocess106.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
307×fma-define
258×fma-neg
99×distribute-lft-in
92×distribute-rgt-in
87×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029254
165246
2164246
3589246
41148246
51621246
61721246
71738246
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 x y) z)
(*.f64 (+.f64 (neg.f64 x) y) z)
(*.f64 (+.f64 x (neg.f64 y)) z)
(*.f64 (+.f64 x y) (neg.f64 z))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 x z) y)
Outputs
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 (neg.f64 x) y) z)
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) z)
(*.f64 z (-.f64 x y))
(*.f64 (+.f64 x y) (neg.f64 z))
(*.f64 z (-.f64 (neg.f64 y) x))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z))
(*.f64 z (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z)))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 x y))
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 x z) y)
(*.f64 y (+.f64 x z))
Symmetry

(negabs z)

(sort x y)

explain50.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(*.f64 (+.f64 x y) z)
00-0-(+.f64 x y)
00-0-y
Results
32.0ms512×256valid
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (52.2% of total)
ival-add: 3.0ms (39.1% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize22.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) z)
Results
14.0ms256×256valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (52.1% of total)
ival-mult: 2.0ms (52.1% of total)
const: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) z)>
Outputs
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
Calls

9 calls:

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

rewrite384.0ms (20.1%)

Algorithm
1×batch-egg-rewrite
Rules
568×log1p-expm1-u
568×expm1-log1p-u
482×unpow-prod-down
455×prod-diff
278×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
111622
2152222
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))

simplify85.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
358×exp-prod
329×distribute-lft-neg-in
295×distribute-lft-neg-out
280×distribute-rgt-neg-in
269×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111639
12441639
26541639
323321639
447911639
Stop Event
1×node limit
Counts
69 → 45
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
Outputs
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 z x) (*.f64 z y))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (*.f64 y z) (*.f64 x z))
(*.f64 z (+.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(*.f64 z (+.f64 y x))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 z (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(*.f64 z (+.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 z (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(*.f64 z (+.f64 y x))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(*.f64 z (+.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(*.f64 z (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 z (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (+.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(*.f64 z (+.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(*.f64 z (+.f64 y x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(*.f64 z (+.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(*.f64 z (+.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(*.f64 z (+.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(*.f64 z (+.f64 y x))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(*.f64 z (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(*.f64 z (+.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(*.f64 z (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(*.f64 z (+.f64 y x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(fma.f64 x z (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 y z (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 z x (*.f64 z y))
(*.f64 z (+.f64 y x))
(fma.f64 z y (*.f64 z x))
(*.f64 z (+.f64 y x))

eval7.0ms (0.4%)

Compiler

Compiled 428 to 169 computations (60.5% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446
Accuracy
100.0%
Counts
46 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 (*.f64 z y) (*.f64 z x))
✓100.0%
(*.f64 (+.f64 x y) z)
▶56.3%
(*.f64 z x)
▶52.9%
(*.f64 y z)
Compiler

Compiled 30 to 19 computations (36.7% saved)

localize103.0ms (5.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.2%
(+.f64 (*.f64 z y) (*.f64 z x))
Results
95.0ms256×256valid
Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 9.0ms (87.1% of total)
ival-add: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)

series5.0ms (0.3%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 z y) (*.f64 z x))>
Outputs
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 z (+.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (+.f64 (*.f64 x z) (*.f64 y z))>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
Calls

9 calls:

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

rewrite90.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
688×unpow-prod-down
679×log1p-expm1-u
679×expm1-log1p-u
366×log-prod
344×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
114022
2186222
Stop Event
1×node limit
Counts
1 → 96
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 z (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (pow.f64 (exp.f64 y) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 z y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 z y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z y))

simplify158.0ms (8.3%)

Algorithm
1×egg-herbie
Rules
671×times-frac
453×fma-define
321×exp-prod
308×associate-/l*
270×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02714293
16464182
217344153
371214122
Stop Event
1×node limit
Counts
132 → 122
Calls
Call 1
Inputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y z)
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 z (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 z (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 z (+.f64 y x)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (pow.f64 (exp.f64 x) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (pow.f64 (exp.f64 y) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 z y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 z y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z y))
Outputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 z x)
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 z (*.f64 x (/.f64 z y))))
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(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (pow.f64 (exp.f64 x) z)))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (pow.f64 (exp.f64 y) z)))
(*.f64 z (+.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(*.f64 z (+.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/3 binary64)))
(*.f64 z (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(fma.f64 z y (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 z x (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 x z (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z y))
(*.f64 z (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z y))
(*.f64 z (+.f64 x y))

eval19.0ms (1%)

Compiler

Compiled 1666 to 583 computations (65% saved)

prune31.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1220122
Fresh000
Picked033
Done011
Total1224126
Accuracy
100.0%
Counts
126 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(+.f64 (*.f64 z y) (*.f64 z x))
✓100.0%
(*.f64 (+.f64 x y) z)
✓56.3%
(*.f64 z x)
✓52.9%
(*.f64 y z)
Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes10.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
(*.f64 (+.f64 x y) z)
(+.f64 (*.f64 z y) (*.f64 z x))
Outputs
(*.f64 (+.f64 x y) z)
Calls

5 calls:

2.0ms
z
2.0ms
(+.f64 x y)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.7%)

Counts
2 → 4
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 z x)
Outputs
(*.f64 z x)
(*.f64 y z)
(*.f64 z x)
(*.f64 y z)
Calls

3 calls:

7.0ms
z
4.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
81.7%2x
86.3%4y
69.8%9z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y z)
Outputs
(*.f64 y z)
Calls

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
52.9%1z
52.9%1x
52.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch38.0ms (2%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
3.898003567195709e-41
4.216731463365113e-39
14.0ms
1.449826669510994e-60
2.4281255374619563e-49
11.0ms
3.2454974472226026e-160
9.630667207650268e-155
Results
20.0ms416×0valid
Compiler

Compiled 378 to 270 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (59.1% of total)
ival-mult: 3.0ms (35.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×not-or
4×if-if-or-not
3×*-commutative
2×if-not
2×not-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025117
134111
237111
340107
441107
542107
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 z x) (if (<=.f64 y #s(literal 3710378836034607/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 z x) (*.f64 y z))))
(*.f64 y z)
Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 z x) (if (<=.f64 y #s(literal 3710378836034607/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 z x) (*.f64 y z))))
(if (<=.f64 y #s(literal 5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 x z) (if (or (<=.f64 y #s(literal 3710378836034607/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (not (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)))) (*.f64 y z) (*.f64 x z)))
(if (or (<=.f64 y #s(literal 5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (not (or (<=.f64 y #s(literal 3710378836034607/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (not (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)))))) (*.f64 x z) (*.f64 y z))
(if (or (<=.f64 y #s(literal 5736422885728743/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (and (not (<=.f64 y #s(literal 3710378836034607/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64))) (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)))) (*.f64 x z) (*.f64 y z))
(*.f64 y z)

soundness136.0ms (7.1%)

Rules
358×exp-prod
329×distribute-lft-neg-in
295×distribute-lft-neg-out
280×distribute-rgt-neg-in
269×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111639
12441639
26541639
323321639
447911639
Stop Event
1×done
1×node limit
Compiler

Compiled 39 to 22 computations (43.6% saved)

preprocess33.0ms (1.8%)

Remove

(sort x y)

(negabs z)

Compiler

Compiled 172 to 104 computations (39.5% saved)

end0.0ms (0%)

Profiling

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