Data.Random.Distribution.Normal:doubleStdNormalZ from random-fu-0.2.6.2

Time bar (total: 1.1s)

analyze0.0ms (0%)

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

Compiled 7 to 5 computations (28.6% saved)

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

sample506.0ms (45.8%)

Results
359.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-sub: 61.0ms (45.3% of total)
ival-add: 59.0ms (43.8% of total)
const: 12.0ms (8.9% of total)
backward-pass: 3.0ms (2.2% of total)
Bogosity

preprocess60.0ms (5.4%)

Algorithm
2×egg-herbie
Rules
320×fnmadd-define
312×fnmsub-define
312×fmsub-define
310×fmm-def
232×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
12713
29312
323812
458312
5107612
6120012
7128912
8129712
045
1134
2204
3284
4334
5424
6744
71984
84654
97214
107594
117634
07634
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (+ x x) 1)
Outputs
(- (+ x x) 1)
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
Call 2
Inputs
(- (+ x x) 1)
(- (+ (neg x) (neg x)) 1)
(neg (- (+ (neg x) (neg x)) 1))
Outputs
(- (+ x x) 1)
(fnmsub x -2 1)
(- (+ (neg x) (neg x)) 1)
(fnmsub x 2 1)
(neg (- (+ (neg x) (neg x)) 1))
(fnmsub x -2 -1)

explain53.0ms (4.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (+.f64 x x) #s(literal 1 binary64))
00-0-(+.f64 x x)
00-0-#s(literal 1 binary64)
Results
28.0ms512×0valid
Compiler

Compiled 30 to 14 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (41.3% of total)
ival-add: 3.0ms (41.3% of total)
const: 1.0ms (13.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify63.0ms (5.7%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Rules
180×fmsub-define
176×fma-lowering-fma.f32
176×fnmsub-define
176×fma-lowering-fma.f64
176×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0410
1139
2209
3289
4339
5429
6749
71989
84659
97219
107599
117639
07639
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (+ x x) 1)
(+ x x)
x
1
Outputs
(- (+ x x) 1)
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
1
#s(literal 1 binary64)

localize56.0ms (5.1%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x x)
Results
50.0ms256×0valid
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (53.6% of total)
ival-sub: 1.0ms (26.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (- (+ x x) 1)>
#<alt (+ x x)>
Outputs
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* 2 x) 1)>
#<alt (- (* 2 x) 1)>
#<alt (* 2 x)>
#<alt (* x (- 2 (/ 1 x)))>
#<alt (* x (- 2 (/ 1 x)))>
#<alt (* x (- 2 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (/ 1 x) 2)))>
#<alt (* -1 (* x (- (/ 1 x) 2)))>
#<alt (* -1 (* x (- (/ 1 x) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (+ x x) 1)
0.0ms
x
@0
(+ x x)
0.0ms
x
@0
(- (+ x x) 1)
0.0ms
x
@inf
(+ x x)
0.0ms
x
@-inf
(- (+ x x) 1)

rewrite70.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
96×*-lowering-*.f32
96×*-lowering-*.f64
90×/-lowering-/.f32
90×/-lowering-/.f64
68×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048
1347
03187
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
2 → 55
Calls
Call 1
Inputs
(- (+ x x) 1)
(+ x x)
Outputs
(+.f64 x (+.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (+.f64 x #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 x x)
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(+.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x)

simplify21.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
164×fma-define
162×sum3-define
136×fma-lowering-fma.f32
136×fma-lowering-fma.f64
124×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
13179
26879
313679
416679
524179
636379
741579
849179
958979
1059079
059079
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
-1
(- (* 2 x) 1)
(- (* 2 x) 1)
(- (* 2 x) 1)
(* 2 x)
(* x (- 2 (/ 1 x)))
(* x (- 2 (/ 1 x)))
(* x (- 2 (/ 1 x)))
(* 2 x)
(* -1 (* x (- (/ 1 x) 2)))
(* -1 (* x (- (/ 1 x) 2)))
(* -1 (* x (- (/ 1 x) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(- (* 2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* x (- 2 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* x (- 2 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (/ 1 x) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (/ 1 x) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (/ 1 x) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

eval6.0ms (0.5%)

Compiler

Compiled 782 to 150 computations (80.8% saved)

prune92.0ms (8.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh000
Picked011
Done000
Total77380
Accuracy
100.0%
Counts
80 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
▶51.4%
(*.f64 #s(literal 2 binary64) x)
▶50.9%
#s(literal -1 binary64)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) x)
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
056
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
-1
(* 2 x)
2
x
Outputs
-1
#s(literal -1 binary64)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x

localize22.0ms (2%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
Results
17.0ms256×0valid
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (75.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (* 2 x)>
Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

3 calls:

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

rewrite10.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
143
043
Stop Event
1×iter limit
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(* 2 x)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

eval1.0ms (0.1%)

Compiler

Compiled 43 to 4 computations (90.7% saved)

prune3.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done011
Total14317
Accuracy
100.0%
Counts
17 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 x x) #s(literal 1 binary64))
✓51.4%
(*.f64 #s(literal 2 binary64) x)
✓50.9%
#s(literal -1 binary64)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.6%)

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

3 calls:

3.0ms
(+.f64 x x)
2.0ms
x
2.0ms
(-.f64 (+.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (+.f64 x x) #s(literal 1 binary64))
100.0%1(+.f64 x x)
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0.2%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
50.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch55.0ms (4.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.553070242342735e-8
943.0873923284815
41.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
43.0ms304×0valid
Compiler

Compiled 162 to 140 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 32.0ms (92.9% of total)
ival-sub: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
4×sub-neg_binary64
2×+-commutative_binary64
2×mul-1-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
12219
22519
33019
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x) (if (<=.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 x x) #s(literal 1 binary64))
(+.f64 (+.f64 x x) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x) (if (<=.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
#s(literal -1 binary64)

soundness30.0ms (2.7%)

Rules
164×fma-define
162×sum3-define
136×fma-lowering-fma.f32
136×fma-lowering-fma.f64
124×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
13179
26879
313679
416679
524179
636379
741579
849179
958979
1059079
059079
Stop Event
1×done
1×iter limit
1×saturated
Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess24.0ms (2.2%)

Compiler

Compiled 56 to 32 computations (42.9% saved)

end0.0ms (0%)

Profiling

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