Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 7.7s)

analyze41.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.6% of total)
ival-add: 4.0ms (35.7% of total)
ival-div: 2.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample752.0ms (9.8%)

Results
508.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-div: 78.0ms (35.4% of total)
ival-mult: 76.0ms (34.5% of total)
ival-add: 57.0ms (25.8% of total)
const: 7.0ms (3.2% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess419.0ms (5.5%)

Algorithm
2×egg-herbie
Rules
5052×*-lowering-*.f32
5052×*-lowering-*.f64
4716×accelerator-lowering-fma.f32
4716×accelerator-lowering-fma.f64
1546×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02977
111073
228671
394471
4267570
5501870
6576570
7586370
8595970
9608370
10619770
067
1167
2217
3227
4307
5327
6367
7437
8487
91577
105497
1123527
1237557
1339067
1439917
1540927
1642277
1743877
1859047
1969297
083816
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
Outputs
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
Call 2
Inputs
(/ (* x (+ y z)) z)
(/ (* (neg x) (+ y z)) z)
(/ (* x (+ (neg y) z)) z)
(/ (* x (+ y (neg z))) (neg z))
(neg (/ (* (neg x) (+ y z)) z))
(neg (/ (* x (+ (neg y) z)) z))
(neg (/ (* x (+ y (neg z))) (neg z)))
(/ (* y (+ x z)) z)
(/ (* z (+ y x)) x)
(/ (* x (+ z y)) y)
Outputs
(/ (* x (+ y z)) z)
(+ x (* x (/ y z)))
(/ (* (neg x) (+ y z)) z)
(* x (- -1 (/ y z)))
(/ (* x (+ (neg y) z)) z)
(- x (* x (/ y z)))
(/ (* x (+ y (neg z))) (neg z))
(- x (* x (/ y z)))
(neg (/ (* (neg x) (+ y z)) z))
(+ x (* x (/ y z)))
(neg (/ (* x (+ (neg y) z)) z))
(* x (+ -1 (/ y z)))
(neg (/ (* x (+ y (neg z))) (neg z)))
(* x (+ -1 (/ y z)))
(/ (* y (+ x z)) z)
(+ y (* x (/ y z)))
(/ (* z (+ y x)) x)
(* (+ x y) (/ z x))
(/ (* x (+ z y)) y)
(+ x (* z (/ x y)))
Symmetry

(negabs x)

explain109.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(/.f64 (*.f64 x (+.f64 y z)) z)
00-0-x
00-0-(*.f64 x (+.f64 y z))
00-0-z
00-0-(+.f64 y z)
00-0-y
Results
45.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.2% of total)
ival-mult: 4.0ms (33.2% of total)
ival-add: 3.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.1%
(/.f64 (*.f64 x (+.f64 y z)) z)
▶95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
Compiler

Compiled 20 to 13 computations (35% saved)

localize509.0ms (6.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 x (+.f64 y z))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 y z)) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 (/.f64 y z) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 x (+.f64 y z))
✓accuracy85.1%
(/.f64 (*.f64 x (+.f64 y z)) z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(+.f64 (/.f64 y z) #s(literal 1 binary64))
✓accuracy95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
Rules
5954×accelerator-lowering-fma.f32
5954×accelerator-lowering-fma.f64
5886×*-lowering-*.f32
5886×*-lowering-*.f64
1722×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
13034
24334
38534
410434
518334
620934
729934
878034
9184834
10296134
11312034
12321334
13331734
14344734
15359634
16506734
17624834
18787734
0802432
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (/ y z) 1))
x
(+ (/ y z) 1)
(/ y z)
y
z
1
(/ (* x (+ y z)) z)
(* x (+ y z))
(+ y z)
Outputs
(* x (+ (/ y z) 1))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
x
(+ (/ y z) 1)
(+.f64 (/.f64 y z) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
y
z
1
#s(literal 1 binary64)
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(+ y z)
(+.f64 y z)
Results
47.0ms256×0valid
Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 22.0ms (72.3% of total)
ival-div: 4.0ms (13.1% of total)
ival-mult: 4.0ms (13.1% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
6 → 180
Calls
Call 1
Inputs
#<alt (* x (+ (/ y z) 1))>
#<alt (+ (/ y z) 1)>
#<alt (/ y z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (* x (+ y z))>
#<alt (+ y z)>
Outputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (/ y z)>
#<alt (/ (+ y z) z)>
#<alt (/ (+ y z) z)>
#<alt (/ (+ y z) z)>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
z
@0
(/ (* x (+ y z)) z)
1.0ms
z
@-inf
(* x (+ (/ y z) 1))
1.0ms
y
@inf
(* x (+ (/ y z) 1))
1.0ms
x
@0
(* x (+ (/ y z) 1))
1.0ms
x
@0
(/ (* x (+ y z)) z)

rewrite412.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
3776×accelerator-lowering-fma.f32
3776×accelerator-lowering-fma.f64
3606×*-lowering-*.f32
3606×*-lowering-*.f64
2908×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
16730
249630
3735730
0802629
Stop Event
1×iter limit
1×node limit
Counts
6 → 391
Calls
Call 1
Inputs
(* x (+ (/ y z) 1))
(+ (/ y z) 1)
(/ y z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(+ y z)
Outputs
(+.f64 x (/.f64 x (/.f64 z y)))
(+.f64 (/.f64 x (/.f64 z y)) x)
(-.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y)))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (-.f64 x (/.f64 x (/.f64 z y)))) (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 z z) y) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (*.f64 x (+.f64 (/.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x (-.f64 x (/.f64 x (/.f64 z y)))) (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y)))) (/.f64 (*.f64 x x) (/.f64 z y)))))
(/.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 z z) y) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
(/.f64 (*.f64 x (+.f64 (/.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 x (-.f64 x (/.f64 x (/.f64 z y)))) (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))) (neg.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 z z) y) z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 y (/.f64 (*.f64 z z) y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 z (/.f64 y (/.f64 z y))))) (-.f64 x (/.f64 x (/.f64 z y))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 z z) y) z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(/.f64 (*.f64 x (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 z z) y)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
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(*.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (-.f64 z y)) (*.f64 z (*.f64 (-.f64 z y) (*.f64 z (-.f64 z y))))))) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z (-.f64 z y)) (-.f64 (*.f64 z (-.f64 z y)) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (*.f64 (-.f64 z y) (*.f64 z (-.f64 z y)))))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))

simplify506.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
6340×accelerator-lowering-fma.f32
6340×accelerator-lowering-fma.f64
3528×*-lowering-*.f32
3528×*-lowering-*.f64
1800×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056858
1191858
2508858
31478858
43087858
54369858
65197858
75543858
85741858
95846858
107248858
08102798
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (+ (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ (+ y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (+ y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (+ y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)

eval135.0ms (1.8%)

Compiler

Compiled 9680 to 2773 computations (71.4% saved)

prune74.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5638571
Fresh000
Picked112
Done000
Total5649573
Accuracy
100.0%
Counts
573 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.1%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
37.0%
(/.f64 (*.f64 x z) z)
▶50.8%
(/.f64 (*.f64 x y) z)
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 y z))))
▶96.7%
(+.f64 (/.f64 x (/.f64 z y)) x)
▶84.3%
(*.f64 (/.f64 x z) (+.f64 y z))
50.0%
(*.f64 x (/.f64 y z))
✓95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
▶47.1%
x
Compiler

Compiled 154 to 99 computations (35.7% saved)

localize418.0ms (5.5%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓cost-diff128
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 (/.f64 x z) (+.f64 y z))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) z)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 x (/.f64 z y))
✓cost-diff0
(+.f64 (/.f64 x (/.f64 z y)) x)
✓accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓accuracy85.1%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(+.f64 y z)
✓accuracy84.3%
(*.f64 (/.f64 x z) (+.f64 y z))
✓accuracy100.0%
(*.f64 x y)
✓accuracy91.8%
(/.f64 (*.f64 x y) z)
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓accuracy93.2%
(/.f64 x (/.f64 z y))
Rules
5012×*-lowering-*.f32
5012×*-lowering-*.f64
2890×accelerator-lowering-fma.f32
2890×accelerator-lowering-fma.f64
2602×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
13657
25857
38457
413857
516657
643357
7129957
8204257
9217457
10230657
11264357
12344957
13355357
14515957
15594057
16692357
17778157
0802354
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ x (/ z y)) x)
(/ x (/ z y))
x
(/ z y)
z
y
(/ (* x y) z)
(* x y)
(* (/ x z) (+ y z))
(/ x z)
(+ y z)
(/ (/ x (/ 1 (+ y z))) z)
(/ x (/ 1 (+ y z)))
(/ 1 (+ y z))
1
Outputs
(+ (/ x (/ z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(* x y)
(*.f64 x y)
(* (/ x z) (+ y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x z)
(/.f64 x z)
(+ y z)
(+.f64 z y)
(/ (/ x (/ 1 (+ y z))) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (/ 1 (+ y z)))
(*.f64 x (+.f64 z y))
(/ 1 (+ y z))
(/.f64 #s(literal 1 binary64) (+.f64 z y))
1
#s(literal 1 binary64)
Results
50.0ms256×0valid
Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 17.0ms (69.3% of total)
ival-mult: 4.0ms (16.3% of total)
ival-add: 3.0ms (12.2% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts
11 → 336
Calls
Call 1
Inputs
#<alt (/ x (/ z y))>
#<alt (+ (/ x (/ z y)) x)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* (/ x z) (+ y z))>
#<alt (+ y z)>
#<alt (/ x z)>
#<alt (/ (/ x (/ 1 (+ y z))) z)>
#<alt (/ x (/ 1 (+ y z)))>
#<alt (/ 1 (+ y z))>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ y (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ z y))) y)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ z y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z (pow y 2))) (/ 1 y))>
#<alt (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ y z))) z)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ y z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ 1 (+ y z))
0.0ms
x
@0
(/ x (/ z y))
0.0ms
y
@0
(/ x (/ z y))
0.0ms
z
@0
(/ x (/ z y))
0.0ms
z
@-inf
(/ x (/ z y))

rewrite602.0ms (7.9%)

Algorithm
1×batch-egg-rewrite
Rules
5842×accelerator-lowering-fma.f32
5842×accelerator-lowering-fma.f64
4726×*-lowering-*.f32
4726×*-lowering-*.f64
3746×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01555
110353
277053
0868350
Stop Event
1×iter limit
1×node limit
Counts
11 → 1463
Calls
Call 1
Inputs
(/ x (/ z y))
(+ (/ x (/ z y)) x)
(/ z y)
(/ (* x y) z)
(* x y)
(* (/ x z) (+ y z))
(+ y z)
(/ x z)
(/ (/ x (/ 1 (+ y z))) z)
(/ x (/ 1 (+ y z)))
(/ 1 (+ y z))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y)) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(neg.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(neg.f64 (*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)) #s(literal 1 binary64)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) y)
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 x z)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 (/.f64 x z)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z))) (-.f64 #s(literal 0 binary64) y))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))
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(-.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 z (-.f64 (*.f64 y y) (*.f64 z z))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 0 binary64) z)))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 y y))) (-.f64 z y))

simplify721.0ms (9.4%)

Algorithm
1×egg-herbie
Rules
9722×accelerator-lowering-fma.f32
9722×accelerator-lowering-fma.f64
3752×*-lowering-*.f32
3752×*-lowering-*.f64
2324×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621808
14861786
213001754
339801748
084281675
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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x
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x
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(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z y)
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(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x (+ y z)) z)
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(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
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(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
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(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
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(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
z
(+ y z)
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(* y (+ 1 (/ z y)))
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Outputs
(/ (* x y) z)
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(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64))))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ z y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ z y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)
(+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 (/ y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (/ y z) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) z)

eval288.0ms (3.8%)

Compiler

Compiled 33801 to 10261 computations (69.6% saved)

prune260.0ms (3.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New191161917
Fresh303
Picked235
Done011
Total1916101926
Accuracy
100.0%
Counts
1926 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓50.8%
(/.f64 (*.f64 x y) z)
▶50.2%
(/.f64 y (/.f64 z x))
▶50.9%
(/.f64 x (/.f64 z y))
✓96.7%
(+.f64 (/.f64 x (/.f64 z y)) x)
▶50.0%
(*.f64 (/.f64 y z) x)
▶39.4%
(*.f64 (/.f64 x z) z)
▶50.6%
(*.f64 (/.f64 x z) y)
✓95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
✓47.1%
x
Compiler

Compiled 132 to 85 computations (35.6% saved)

localize452.0ms (5.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(/.f64 y (/.f64 z x))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(*.f64 (/.f64 y z) x)
✓cost-diff0
(/.f64 x z)
✓cost-diff256
(*.f64 (/.f64 x z) z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 (/.f64 x z) y)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 x (/.f64 z y))
✓accuracy100.0%
(/.f64 z x)
✓accuracy90.6%
(/.f64 y (/.f64 z x))
✓accuracy100.0%
(/.f64 y z)
✓accuracy92.6%
(*.f64 (/.f64 y z) x)
✓accuracy100.0%
(/.f64 x z)
✓accuracy76.9%
(*.f64 (/.f64 x z) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy90.7%
(*.f64 (/.f64 x z) y)
✓accuracy100.0%
(/.f64 z y)
✓accuracy93.2%
(/.f64 x (/.f64 z y))
Rules
6392×*-lowering-*.f32
6392×*-lowering-*.f64
3598×associate-/r/
2670×/-lowering-/.f32
2670×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
12136
22536
32736
42936
510436
638636
7174736
8241436
9271336
10275836
11280936
12286536
13382336
14399036
15428836
16452936
17484736
18523536
19569336
20591736
21605136
22619236
23627636
0839836
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (/ z y))
x
(/ z y)
z
y
(* (/ x z) y)
(/ x z)
(* (/ x z) z)
(* (/ y z) x)
(/ y z)
(/ y (/ z x))
(/ z x)
Outputs
(/ x (/ z y))
(/.f64 y (/.f64 z x))
x
(/ z y)
(/.f64 z y)
z
y
(* (/ x z) y)
(/.f64 y (/.f64 z x))
(/ x z)
(/.f64 x z)
(* (/ x z) z)
x
(* (/ y z) x)
(/.f64 y (/.f64 z x))
(/ y z)
(/.f64 y z)
(/ y (/ z x))
(/.f64 y (/.f64 z x))
(/ z x)
(/.f64 z x)
Results
43.0ms256×0valid
Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 13.0ms (70.6% of total)
ival-mult: 5.0ms (27.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
9 → 264
Calls
Call 1
Inputs
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ x z) z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
Calls

66 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@0
(/ z x)
0.0ms
x
@-inf
(* (/ x z) z)
0.0ms
z
@inf
(/ z x)
0.0ms
x
@0
(/ z x)

rewrite281.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1684×*-lowering-*.f32
1684×*-lowering-*.f64
1370×/-lowering-/.f32
1370×/-lowering-/.f64
768×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01237
14837
225533
3132333
0534633
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
9 → 632
Calls
Call 1
Inputs
(/ x (/ z y))
(/ z y)
(* (/ x z) y)
(/ x z)
(* (/ x z) z)
(* (/ y z) x)
(/ y z)
(/ y (/ z x))
(/ z x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 z x) y))))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(/.f64 x (/.f64 z y))
(/.f64 z (*.f64 (/.f64 z y) (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) (*.f64 (/.f64 z y) z))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal -1 binary64))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 (/.f64 z y) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)) (/.f64 (/.f64 z x) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x z))) (/.f64 (/.f64 z x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) x)) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 x z))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 y z))) (/.f64 (/.f64 z x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 y (-.f64 #s(literal 0 binary64) z)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (*.f64 x y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y))) (/.f64 (-.f64 #s(literal 0 binary64) z) y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y))) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z x) y) (/.f64 (/.f64 z x) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 z x) y))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal -1 binary64))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(+.f64 (/.f64 z y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 z y))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) (*.f64 #s(literal -1 binary64) (log.f64 z))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 z (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 z y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) z #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 z y))
(fma.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 z y)
(/.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) z)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) y))) (/.f64 y z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) y))) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z)))) (/.f64 z y))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y)))))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) (/.f64 y z)) #s(literal -1/2 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 z (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 z x) y))))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 y))))
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(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x))
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(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
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(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x))
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(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
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(*.f64 (/.f64 z x) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) z)
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(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091032
1111032
2131032
3141032
0141032
Stop Event
1×iter limit
1×saturated
Counts
264 → 264
Calls
Call 1
Inputs
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)

eval199.0ms (2.6%)

Compiler

Compiled 9653 to 4219 computations (56.3% saved)

prune136.0ms (1.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New9691970
Fresh011
Picked055
Done044
Total96911980
Accuracy
100.0%
Counts
980 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.8%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓50.8%
(/.f64 (*.f64 x y) z)
✓50.2%
(/.f64 y (/.f64 z x))
✓50.9%
(/.f64 x (/.f64 z y))
▶47.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓96.7%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓50.0%
(*.f64 (/.f64 y z) x)
✓39.4%
(*.f64 (/.f64 x z) z)
✓50.6%
(*.f64 (/.f64 x z) y)
✓95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
✓47.1%
x
Compiler

Compiled 90 to 60 computations (33.3% saved)

localize155.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓cost-diff128
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓accuracy91.8%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Rules
104×*-lowering-*.f32
104×*-lowering-*.f64
104×times-frac
86×/-lowering-/.f32
86×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
11719
23919
310619
420319
522119
623319
023319
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
(/ 1 y)
y
z
Outputs
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (/ x (/ 1 y)) z)
(/.f64 x (/.f64 z y))
(/ x (/ 1 y))
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
z
Results
115.0ms256×0valid
Compiler

Compiled 33 to 21 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 99.0ms (98.6% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (/ x (/ 1 y)) z)>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 y)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ 1 x)
0.0ms
y
@-inf
(/ 1 y)
0.0ms
y
@0
(/ 1 y)
0.0ms
x
@-inf
(/ (/ x (/ 1 y)) z)
0.0ms
x
@0
(/ (/ x (/ 1 y)) z)

rewrite379.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
2556×*-lowering-*.f32
2556×*-lowering-*.f64
2060×/-lowering-/.f32
2060×/-lowering-/.f64
2058×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
14915
227015
3148915
4670215
0844015
Stop Event
1×iter limit
1×node limit
Counts
5 → 429
Calls
Call 1
Inputs
(/ 1 (/ 1 x))
(/ 1 x)
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
(/ 1 y)
Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y))))))
(/.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal -1 binary64)) (*.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08336
113336
216336
317336
017336
Stop Event
1×iter limit
1×saturated
Counts
96 → 96
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval87.0ms (1.1%)

Compiler

Compiled 5713 to 3250 computations (43.1% saved)

prune80.0ms (1%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New5250525
Fresh000
Picked022
Done099
Total52511536
Accuracy
100.0%
Counts
536 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.8%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓50.8%
(/.f64 (*.f64 x y) z)
✓50.2%
(/.f64 y (/.f64 z x))
✓50.9%
(/.f64 x (/.f64 z y))
✓47.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓96.7%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓50.0%
(*.f64 (/.f64 y z) x)
✓39.4%
(*.f64 (/.f64 x z) z)
✓50.6%
(*.f64 (/.f64 x z) y)
✓95.7%
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
✓47.1%
x
Compiler

Compiled 192 to 100 computations (47.9% saved)

regimes126.0ms (1.6%)

Counts
17 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) z)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (+.f64 y z))
(+.f64 (/.f64 x (/.f64 z y)) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 y z))))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
Outputs
(+.f64 (/.f64 x (/.f64 z y)) x)
Calls

4 calls:

80.0ms
y
30.0ms
z
10.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms
x
Results
AccuracySegmentsBranch
96.7%1x
96.7%1y
98.5%3z
98.5%3(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) z)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (+.f64 y z))
Outputs
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
95.7%1x
95.7%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes45.0ms (0.6%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) z)
Outputs
(/.f64 (*.f64 x y) z)
x
(/.f64 (*.f64 x y) z)
Calls

3 calls:

22.0ms
x
11.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
72.9%3z
68.8%13x
74.4%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.3%)

Counts
8 → 5
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
Outputs
(/.f64 x (/.f64 z y))
x
(/.f64 x (/.f64 z y))
x
(*.f64 (/.f64 x z) y)
Calls

2 calls:

13.0ms
y
10.0ms
z
Results
AccuracySegmentsBranch
74.8%5z
75.5%5y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 x z) y)
x
(*.f64 (/.f64 x z) y)
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
73.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
Outputs
(*.f64 x (/.f64 y z))
x
(*.f64 x (/.f64 y z))
x
(*.f64 x (/.f64 y z))
Calls

2 calls:

4.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
72.3%5z
74.0%5y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
47.1%1x
47.1%1z
47.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.4190644070253663e-35
1.4825230920674512e-34
4.0ms
-3.3409356867124127e-106
-2.2939904684907444e-106
Results
8.0ms144×0valid
Compiler

Compiled 142 to 101 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (30% of total)
ival-add: 1.0ms (30% of total)
ival-mult: 1.0ms (30% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.4460628561042166e+129
1.2684793594552946e+137
11.0ms
2.3536023672742672e+111
4.466131495262172e+114
8.0ms
1.4190644070253663e-35
1.4825230920674512e-34
33.0ms
-2.104919482478164e-129
-1.3071645900842467e-131
Results
48.0ms480×0valid
Compiler

Compiled 436 to 311 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 26.0ms (76.7% of total)
ival-mult: 4.0ms (11.8% of total)
ival-add: 3.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.4190644070253663e-35
1.4825230920674512e-34
9.0ms
-2.104919482478164e-129
-1.3071645900842467e-131
Results
11.0ms208×0valid
Compiler

Compiled 198 to 141 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.2% of total)
ival-mult: 2.0ms (42.2% of total)
ival-add: 1.0ms (21.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch89.0ms (1.2%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.4460628561042166e+129
1.2684793594552946e+137
11.0ms
2.3536023672742672e+111
4.466131495262172e+114
50.0ms
1.4190644070253663e-35
1.4825230920674512e-34
9.0ms
-2.104919482478164e-129
-1.3071645900842467e-131
Results
29.0ms480×0valid
Compiler

Compiled 436 to 311 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (48.8% of total)
ival-mult: 4.0ms (27.9% of total)
ival-add: 3.0ms (20.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
1×done
Compiler

Compiled 122 to 51 computations (58.2% saved)

preprocess61.0ms (0.8%)

Remove

(negabs x)

Compiler

Compiled 364 to 174 computations (52.2% saved)

end0.0ms (0%)

Profiling

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