UniformSampleCone, z

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze129.0ms (4.2%)

Memory
46.4MiB live, 130.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.2s (40.1%)

Memory
55.8MiB live, 1 334.2MiB allocated
Samples
926.0ms8 155×0valid
11.0ms101×1valid
Precisions
Click to see histograms. Total time spent on operations: 461.0ms
const: 136.0ms (29.5% of total)
ival-<=: 120.0ms (26.1% of total)
ival-mult: 60.0ms (13% of total)
ival-sub: 55.0ms (11.9% of total)
ival-add: 46.0ms (10% of total)
ival-and: 31.0ms (6.7% of total)
exact: 8.0ms (1.7% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain59.0ms (1.9%)

Memory
-2.6MiB live, 87.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms506×0valid
0.0ms1valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.8% of total)
ival-add: 2.0ms (21.9% of total)
ival-sub: 2.0ms (21.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess99.0ms (3.2%)

Memory
13.9MiB live, 58.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02570
17568
215668
324666
432063
543763
665463
7114563
8155663
9195863
10223463
11260763
12310663
13323263
14324563
15324563
067
097
1187
2307
3487
4747
5977
61417
72457
83997
95667
106067
116317
126607
137217
1410057
1510497
010496
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify38.0ms (1.2%)

Memory
-35.6MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11816
23016
34816
47416
59716
614116
724516
839916
956616
1060616
1163116
1266016
1372116
14100516
15104916
0104915
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize14.0ms (0.5%)

Memory
22.1MiB live, 22.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.0
(*.f32 ux maxCos)
accuracy0.03125
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms253×0valid
0.0ms1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (23% of total)
ival-sub: 1.0ms (23% of total)
ival-mult: 1.0ms (23% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms
maxCos
@0
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms
ux
@0
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify84.0ms (2.7%)

Memory
-21.5MiB live, 67.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03981
111079
230179
375479
4193779
5405979
6682879
0804173
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))

rewrite188.0ms (6%)

Memory
31.3MiB live, 208.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14413
232713
3437313
0854012
Stop Event
iter limit
node limit
iter limit
Counts
3 → 192
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))))
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)))) (fma.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) (-.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32))) (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
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(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) #s(literal -1 binary32)) (pow.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (cosh.f32 (log1p.f32 ux)) (sinh.f32 (log1p.f32 ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 maxCos)) ux)
(*.f32 (pow.f32 (*.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) ux)
(*.f32 (pow.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(*.f32 ux (pow.f32 (*.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))
(*.f32 ux (pow.f32 maxCos #s(literal 1 binary32)))
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux maxCos)
(*.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(+.f32 (cosh.f32 (log.f32 (*.f32 maxCos ux))) (sinh.f32 (log.f32 (*.f32 maxCos ux))))
(exp.f32 (*.f32 (log.f32 (*.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))
(neg.f32 (*.f32 (neg.f32 ux) maxCos))

eval20.0ms (0.6%)

Memory
-10.0MiB live, 34.7MiB allocated
Compiler

Compiled 4 877 to 575 computations (88.2% saved)

prune3.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1974201
Fresh000
Picked101
Done000
Total1984202
Accuracy
100.0%
Counts
202 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
98.9%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
72.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify42.0ms (1.3%)

Memory
8.4MiB live, 54.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 maxCos ux)
cost-diff0
(-.f32 ux (*.f32 maxCos ux))
cost-diff1
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff0
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff0
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
cost-diff0
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
cost-diff1
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891
02791
14391
26191
39091
412791
516791
629291
749791
869391
973391
1075891
1178791
1284891
13113291
14117691
0117687
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
(fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos

localize42.0ms (1.3%)

Memory
18.1MiB live, 58.6MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0.0
(*.f32 maxCos ux)
accuracy0.01171875
(-.f32 ux (*.f32 maxCos ux))
accuracy0.0
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy0.015625
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
accuracy0.06640625
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.359375
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.4034338710229799
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.203236073310364
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Samples
21.0ms250×0valid
2.0ms5exit
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35.5% of total)
ival-mult: 4.0ms (28.4% of total)
ival-div: 2.0ms (14.2% of total)
adjust: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.5%)

Memory
-35.0MiB live, 9.3MiB allocated
Counts
10 → 26
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(* ux (- 1 maxCos))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux))
1.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux))
1.0ms
maxCos
@0
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux))
1.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux))
1.0ms
ux
@0
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux))

simplify120.0ms (3.8%)

Memory
15.2MiB live, 119.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050116
1140114
2378114
3999114
42474114
54225114
66298114
08251108
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(* ux (- 1 maxCos))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (* -1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(fma.f32 maxCos ux (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(/.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 maxCos ux (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)

rewrite231.0ms (7.4%)

Memory
-38.7MiB live, 263.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01876
02776
111876
282976
0827468
Stop Event
iter limit
node limit
iter limit
Counts
10 → 217
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))))
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(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
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(*.f32 (+.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
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(-.f32 ux (*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) maxCos)))
(-.f32 ux (*.f32 (neg.f32 maxCos) (neg.f32 ux)))
(-.f32 ux (*.f32 (neg.f32 ux) (neg.f32 maxCos)))
(-.f32 ux (*.f32 (neg.f32 (neg.f32 ux)) maxCos))
(-.f32 ux (*.f32 (neg.f32 (neg.f32 maxCos)) ux))
(-.f32 ux (*.f32 maxCos ux))
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(fma.f32 (neg.f32 maxCos) ux ux)
(fma.f32 (neg.f32 ux) maxCos ux)
(fma.f32 maxCos (neg.f32 ux) ux)
(fma.f32 ux (neg.f32 maxCos) ux)
(fma.f32 ux #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (neg.f32 maxCos))) ux))
(fma.f32 ux #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(fma.f32 ux #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 ux #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos))
(fma.f32 #s(literal 1 binary32) ux (*.f32 (neg.f32 (neg.f32 (neg.f32 maxCos))) ux))
(fma.f32 #s(literal 1 binary32) ux (*.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) ux (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 #s(literal 1 binary32) ux (*.f32 (neg.f32 ux) maxCos))
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(+.f32 (*.f32 (neg.f32 ux) maxCos) ux)
(+.f32 ux (*.f32 (neg.f32 (neg.f32 (neg.f32 maxCos))) ux))
(+.f32 ux (*.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(+.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 ux (*.f32 (neg.f32 ux) maxCos))
(*.f32 maxCos ux)
(*.f32 ux maxCos)

eval24.0ms (0.8%)

Memory
-38.9MiB live, 53.7MiB allocated
Compiler

Compiled 8 040 to 859 computations (89.3% saved)

prune4.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2270227
Fresh000
Picked044
Done000
Total2274231
Accuracy
100.0%
Counts
231 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
98.9%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
72.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 91 to 59 computations (35.2% saved)

regimes8.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

2.0ms
uy
2.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
Results
AccuracySegmentsBranch
100.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
100.0%1ux
100.0%1uy
100.0%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes9.0ms (0.3%)

Memory
-35.8MiB live, 16.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

4.0ms
uy
2.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
99.9%1ux
99.9%1uy
99.9%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

1.0ms
maxCos
1.0ms
uy
1.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
98.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.7%1ux
98.7%1uy
98.7%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes4.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Calls

4 calls:

1.0ms
maxCos
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
72.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
72.8%1ux
72.8%1uy
72.8%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify64.0ms (2.1%)

Memory
-11.0MiB live, 81.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
13234
26234
39634
413434
518634
626634
739834
864034
986634
10107134
11360634
Stop Event
node limit
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness635.0ms (20.4%)

Memory
20.0MiB live, 197.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14413
232713
3437313
0854012
03981
111079
230179
375479
4193779
5405979
6682879
0804173
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 59 to 37 computations (37.3% saved)

preprocess21.0ms (0.7%)

Memory
-2.0MiB live, 39.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 110 to 74 computations (32.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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