UniformSampleCone, z

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze127.0ms (2.8%)

Memory
-29.9MiB live, 109.5MiB allocated
Algorithm
1×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)

sample1.3s (28.5%)

Memory
114.7MiB live, 1 379.5MiB allocated
Samples
966.0ms8 195×0valid
7.0ms61×1valid
Precisions
Click to see histograms. Total time spent on operations: 757.0ms
ival-add: 336.0ms (44.4% of total)
const: 149.0ms (19.7% of total)
ival-<=: 112.0ms (14.8% of total)
ival-mult: 58.0ms (7.7% of total)
ival-sub: 55.0ms (7.3% of total)
ival-and: 33.0ms (4.4% of total)
exact: 9.0ms (1.2% of total)
adjust: 4.0ms (0.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain73.0ms (1.6%)

Memory
-19.4MiB live, 91.7MiB 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
22.0ms508×0valid
0.0ms4×1valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31.2% of total)
ival-sub: 3.0ms (31.2% of total)
ival-add: 2.0ms (20.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess98.0ms (2.1%)

Memory
3.0MiB live, 47.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)

simplify26.0ms (0.6%)

Memory
-22.5MiB live, 21.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize16.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.0
(*.f32 ux maxCos)
accuracy0.0234375
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
11.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42% of total)
ival-add: 1.0ms (21% of total)
ival-sub: 1.0ms (21% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB 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))

simplify91.0ms (2%)

Memory
-16.1MiB live, 74.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03981
111079
230179
375479
4193779
5405979
6682879
0804173
Stop Event
1×iter limit
1×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))

rewrite210.0ms (4.6%)

Memory
24.1MiB live, 242.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14413
232713
3437313
0854012
Stop Event
1×iter limit
1×node limit
1×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))

eval28.0ms (0.6%)

Memory
-3.4MiB live, 40.5MiB allocated
Compiler

Compiled 4 877 to 575 computations (88.2% saved)

prune5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1956201
Fresh000
Picked011
Done000
Total1957202
Accuracy
100.0%
Counts
202 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (pow.f32 (*.f32 (fma.f32 ux ux ux) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
▶28.2%
(/.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))))
▶100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶98.7%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
▶98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶73.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 229 to 165 computations (27.9% saved)

simplify137.0ms (3%)

Memory
1.8MiB live, 148.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
cost-diff0
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32)))
cost-diff0
(/.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))))
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))
cost-diff0
(*.f32 maxCos ux)
cost-diff0
(-.f32 ux (*.f32 maxCos ux))
cost-diff1
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030202
049202
183202
2155202
3399202
41488202
56751202
08093198
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#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 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 4 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))
(*.f32 maxCos ux)
maxCos
(*.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 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
#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))
(fma.f32 maxCos ux ux)
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#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 (-.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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (+.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 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 4 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))
(*.f32 maxCos ux)
maxCos
(*.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) (fma.f32 maxCos ux ux)) (+.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 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) 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)))
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
#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))
(fma.f32 maxCos ux ux)

localize130.0ms (2.8%)

Memory
-51.7MiB live, 136.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(/.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))))
accuracy0.3359375
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
accuracy0.6832354493483334
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
accuracy27.869612521365895
(fma.f32 maxCos ux ux)
accuracy0.0
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy0.01171875
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
accuracy0.0684514138908477
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.328125
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.47181825291211776
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.034169248152503
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy0.0
(-.f32 ux (*.f32 maxCos ux))
accuracy0.0
(*.f32 maxCos ux)
accuracy0.00390625
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Samples
61.0ms249×0valid
5.0ms7×5exit
Compiler

Compiled 186 to 27 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 17.0ms (32.4% of total)
ival-div: 11.0ms (21% of total)
ival-sub: 7.0ms (13.3% of total)
ival-mult: 6.0ms (11.4% of total)
ival-pow2: 5.0ms (9.5% of total)
ival-add: 4.0ms (7.6% of total)
adjust: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
-5.8MiB live, 40.2MiB allocated
Counts
15 → 73
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
#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 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(fma.f32 maxCos ux ux)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* maxCos ux)
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* -1 (* ux (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (- (* ux (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (- (* ux (- (+ 5 (* -1 (* ux (+ 4 (+ (* -1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ 2 (* -1 (+ 1 maxCos))))) (* (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2)))) (- (* -1 (+ 1 maxCos)) 2)))))))) (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* -4 ux))
(+ 1 (* ux (- (* 6 ux) 4)))
(+ 1 (* ux (- (* ux (+ 6 (* -4 ux))) 4)))
(* ux (+ 1 maxCos))
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(* ux (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (pow ux 2))) (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (pow maxCos 4) (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* -1 (/ (* (- (* -1 (+ 1 maxCos)) 2) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* 6 (/ 1 (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (/ 1 (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow ux 2) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))))))))
(* (pow ux 4) (- 1 (pow maxCos 4)))
(* (pow ux 4) (- 1 (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (+ (* 4 (/ 1 (pow ux 3))) (pow maxCos 4)))))
(pow ux 4)
(* (pow ux 4) (- 1 (* 4 (/ 1 ux))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (* 4 (/ 1 ux))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) (+ (/ 1 (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 3 (* -1 maxCos)) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))))) ux)) (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* (pow ux 4) (- (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))) (pow maxCos 4)))
(* (pow ux 4) (- (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))) (pow maxCos 4)))
(* (pow ux 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))))
(* (pow ux 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(- (+ 1 (* maxCos (- (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))) (+ (/ (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux)))) (- 1 ux)) (/ (pow ux 3) (pow (- 1 ux) 2)))))) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(pow (- 1 ux) 4)
(+ (* -1 (* (pow maxCos 4) (pow ux 4))) (pow (- 1 ux) 4))
(+ ux (* maxCos ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos))))
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 3) (pow ux 2))) (+ (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) ux) (/ (pow (- 1 ux) 3) (pow ux 2)))) (pow maxCos 3)))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(* (pow maxCos 4) (- (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))
(* maxCos (+ ux (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))) (/ (pow (- 1 ux) 2) (* maxCos ux))) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* maxCos ux))) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2)))) (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2))))) (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux))) maxCos)) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
maxCos
@0
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (/ (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (* (+ (pow (* maxCos ux) 2) (pow (- 1 ux) 2)) (- 1 (+ (* maxCos ux) ux)))) (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (pow (- 1 ux) 4) (+ (* maxCos ux) ux) (pow (- 1 ux) 2))
4.0ms
ux
@inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (/ (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (* (+ (pow (* maxCos ux) 2) (pow (- 1 ux) 2)) (- 1 (+ (* maxCos ux) ux)))) (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (pow (- 1 ux) 4) (+ (* maxCos ux) ux) (pow (- 1 ux) 2))
4.0ms
ux
@-inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (/ (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (* (+ (pow (* maxCos ux) 2) (pow (- 1 ux) 2)) (- 1 (+ (* maxCos ux) ux)))) (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (pow (- 1 ux) 4) (+ (* maxCos ux) ux) (pow (- 1 ux) 2))
2.0ms
ux
@0
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (/ (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (* (+ (pow (* maxCos ux) 2) (pow (- 1 ux) 2)) (- 1 (+ (* maxCos ux) ux)))) (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (pow (- 1 ux) 4) (+ (* maxCos ux) ux) (pow (- 1 ux) 2))
2.0ms
maxCos
@inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (/ (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (* (+ (pow (* maxCos ux) 2) (pow (- 1 ux) 2)) (- 1 (+ (* maxCos ux) ux)))) (- (pow (- 1 ux) 4) (pow (* maxCos ux) 4)) (pow (- 1 ux) 4) (+ (* maxCos ux) ux) (pow (- 1 ux) 2))

simplify173.0ms (3.8%)

Memory
16.2MiB live, 200.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03832334
113221933
259421853
085911734
Stop Event
1×iter limit
1×node limit
Counts
73 → 72
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* maxCos ux)
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* -1 (* ux (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (- (* ux (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* ux (- (* ux (- (+ 5 (* -1 (* ux (+ 4 (+ (* -1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ 2 (* -1 (+ 1 maxCos))))) (* (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2)))) (- (* -1 (+ 1 maxCos)) 2)))))))) (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(+ 1 (* -4 ux))
(+ 1 (* ux (- (* 6 ux) 4)))
(+ 1 (* ux (- (* ux (+ 6 (* -4 ux))) 4)))
(* ux (+ 1 maxCos))
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(* ux (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (pow ux 2))) (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (pow maxCos 4) (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* -1 (/ (* (- (* -1 (+ 1 maxCos)) 2) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* 6 (/ 1 (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (/ 1 (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow ux 2) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))))))))
(* (pow ux 4) (- 1 (pow maxCos 4)))
(* (pow ux 4) (- 1 (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (+ (* 4 (/ 1 (pow ux 3))) (pow maxCos 4)))))
(pow ux 4)
(* (pow ux 4) (- 1 (* 4 (/ 1 ux))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (* 4 (/ 1 ux))))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) (+ (/ 1 (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 3 (* -1 maxCos)) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))))) ux)) (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(* (pow ux 4) (- (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))) (pow maxCos 4)))
(* (pow ux 4) (- (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))) (pow maxCos 4)))
(* (pow ux 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))))
(* (pow ux 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(- (+ 1 (* maxCos (- (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))) (+ (/ (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux)))) (- 1 ux)) (/ (pow ux 3) (pow (- 1 ux) 2)))))) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(pow (- 1 ux) 4)
(+ (* -1 (* (pow maxCos 4) (pow ux 4))) (pow (- 1 ux) 4))
(+ ux (* maxCos ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos))))
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 3) (pow ux 2))) (+ (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) ux) (/ (pow (- 1 ux) 3) (pow ux 2)))) (pow maxCos 3)))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(* -1 (* (pow maxCos 4) (pow ux 4)))
(* (pow maxCos 4) (- (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))
(* maxCos (+ ux (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))) (/ (pow (- 1 ux) 2) (* maxCos ux))) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* maxCos ux))) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2)))) (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2))))) (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux))) maxCos)) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos 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)
(+ 1 (* -1 (* ux (+ 2 (* -1 (+ 1 maxCos))))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(fma.f32 (-.f32 (*.f32 (-.f32 (-.f32 #s(literal 5 binary32) (fma.f32 maxCos maxCos (fma.f32 #s(literal 2 binary32) maxCos #s(literal 2 binary32)))) (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)))) ux) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (- (+ 5 (* -1 (* ux (+ 4 (+ (* -1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ 2 (* -1 (+ 1 maxCos))))) (* (- 5 (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2)))) (- (* -1 (+ 1 maxCos)) 2)))))))) (+ (* -1 (* (+ 2 (* -1 (+ 1 maxCos))) (- (* -1 (+ 1 maxCos)) 2))) (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))))) (+ 2 (* -1 (+ 1 maxCos))))))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 5 binary32) (fma.f32 (+.f32 (fma.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) maxCos) #s(literal 4 binary32)) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (*.f32 (-.f32 (-.f32 #s(literal 5 binary32) (fma.f32 maxCos maxCos (fma.f32 #s(literal 2 binary32) maxCos #s(literal 2 binary32)))) (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)))) (-.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 2 binary32))))) ux (fma.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal -1 binary32) (fma.f32 maxCos maxCos (fma.f32 #s(literal 2 binary32) maxCos #s(literal 2 binary32)))))) ux) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(+ 1 (* -4 ux))
(fma.f32 #s(literal -4 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 6 ux) 4)))
(fma.f32 (-.f32 (*.f32 #s(literal 6 binary32) ux) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 6 (* -4 ux))) 4)))
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4 binary32) ux #s(literal 6 binary32)) ux) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(+ 1 (* -2 ux))
(fma.f32 #s(literal -2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- ux 2)))
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #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
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (/.f32 ux (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (-.f32 #s(literal -1 binary32) maxCos))
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) #s(literal -1 binary32) (/.f32 #s(literal 4 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (*.f32 (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (*.f32 (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) ux))) ux)
(* ux (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (pow ux 2))) (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))
(*.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos)))) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) #s(literal 6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32))))) (*.f32 ux ux)) #s(literal -1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) #s(literal -1 binary32) (/.f32 #s(literal 4 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32))))) (*.f32 (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (*.f32 (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) ux))) ux)
(* ux (- (+ (* -1 (/ (- 1 (pow maxCos 4)) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* ux (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ 4 (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (pow maxCos 4) (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* -1 (/ (* (- (* -1 (+ 1 maxCos)) 2) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (* 6 (/ 1 (* (pow ux 2) (* (+ 1 maxCos) (+ 1 (pow maxCos 2)))))) (+ (/ 1 (* (pow ux 3) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (+ (* -1 (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (* 6 (/ 1 (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))))) (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (pow maxCos 2))))) (+ (/ (* (+ 1 (+ (* 2 (+ 1 maxCos)) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* ux (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2)))) (/ (* (- 1 (pow maxCos 4)) (- (* -1 (+ 1 maxCos)) 2)) (* (pow ux 2) (* (pow (+ 1 maxCos) 2) (pow (+ 1 (pow maxCos 2)) 2))))))))))))
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) #s(literal -1 binary32) (/.f32 #s(literal 4 binary32) ux)) (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (/.f32 (pow.f32 maxCos #s(literal 4 binary32)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (/.f32 (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) ux) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) ux))) (*.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos)))) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) #s(literal 6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (/.f32 (+.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (-.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (/.f32 (/.f32 #s(literal 6 binary32) (*.f32 ux (fma.f32 maxCos ux ux))) (fma.f32 maxCos maxCos #s(literal 1 binary32))))) ux)
(* (pow ux 4) (- 1 (pow maxCos 4)))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))))
(* (pow ux 4) (- 1 (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) ux)) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (pow maxCos 4))))
(*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 6 binary32) ux) #s(literal -4 binary32)) ux) #s(literal 1 binary32)) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (+ (* 4 (/ 1 (pow ux 3))) (pow maxCos 4)))))
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 6 binary32) ux) #s(literal -4 binary32)) ux) #s(literal 1 binary32)) (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(pow ux 4)
(pow.f32 ux #s(literal 4 binary32))
(* (pow ux 4) (- 1 (* 4 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) ux)) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (* 4 (/ 1 ux))))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 6 binary32) ux) #s(literal -4 binary32)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ 1 (/ 6 (pow ux 2))) (+ (* 4 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(*.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 6 binary32) ux) #s(literal -4 binary32)) ux) #s(literal 1 binary32)) (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 ux #s(literal 4 binary32)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 ux))
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (/ (* ux (- 1 (pow maxCos 4))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (/.f32 ux (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (- (+ (* -1 (/ (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) ux) #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (neg.f32 ux))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos)))) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) #s(literal 6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 #s(literal 3 binary32) maxCos) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (neg.f32 ux)) (/.f32 (fma.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) maxCos))) ux) #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (neg.f32 ux))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) (+ (/ 1 (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 3 (* -1 maxCos)) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))))) ux)) (* 6 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (+ (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))) (/ (* (- 1 (pow maxCos 4)) (- 3 (* -1 maxCos))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2))))) ux)) (* 4 (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))) (/ (* (+ 1 (+ (* 2 (- 1 (* -1 maxCos))) (pow maxCos 2))) (- 1 (pow maxCos 4))) (* (pow (+ 1 (pow maxCos 2)) 2) (pow (- 1 (* -1 maxCos)) 2)))) ux)) (/ 1 (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos))))) (/ (pow maxCos 4) (* (+ 1 (pow maxCos 2)) (- 1 (* -1 maxCos)))))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 (pow.f32 maxCos #s(literal 4 binary32)) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 4 binary32) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos)))) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) #s(literal 6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 #s(literal 3 binary32) maxCos) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (*.f32 (+.f32 #s(literal 3 binary32) maxCos) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))))) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) maxCos))) ux) #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos)))) (-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))))) #s(literal 6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 maxCos maxCos #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 #s(literal 3 binary32) maxCos) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (neg.f32 ux)) (/.f32 (fma.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (/.f32 (fma.f32 maxCos maxCos (+.f32 #s(literal 3 binary32) (*.f32 #s(literal 2 binary32) maxCos))) (pow.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) maxCos))) ux) #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) maxCos))) (neg.f32 ux))
(* (pow ux 4) (- (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))) (pow maxCos 4)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 6 binary32) ux)) ux)) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))) (pow maxCos 4)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 4 binary32) ux)) ux)) ux)) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (+ 1 (* -1 (/ (- 4 (* 6 (/ 1 ux))) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 6 binary32) ux)) ux)) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 4 (/ 1 ux))) ux))) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 4 binary32) ux)) ux)) ux)) (pow.f32 ux #s(literal 4 binary32)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(*.f32 (-.f32 (neg.f32 maxCos) #s(literal 1 binary32)) (neg.f32 ux))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) 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)
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(-.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) maxCos ux) maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos (- (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))) (+ (/ (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux)))) (- 1 ux)) (/ (pow ux 3) (pow (- 1 ux) 2)))))) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (* -1 ux)))) ux)
(fma.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) ux (*.f32 #s(literal 0 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos) #s(literal 0 binary32)) maxCos ux) maxCos (-.f32 #s(literal 1 binary32) ux))
(pow (- 1 ux) 4)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(+ (* -1 (* (pow maxCos 4) (pow ux 4))) (pow (- 1 ux) 4))
(fma.f32 (neg.f32 (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos))))
(*.f32 (-.f32 ux (-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)
(* maxCos (- (+ ux (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 3) (pow ux 2))) (+ (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) ux) (/ (pow (- 1 ux) 3) (pow ux 2)))) (pow maxCos 3)))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(*.f32 (+.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) ux) maxCos)
(* -1 (* (pow maxCos 4) (pow ux 4)))
(*.f32 (neg.f32 (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (- (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 maxCos #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) ux) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))) (/ (pow (- 1 ux) 2) (* maxCos ux))) (* -1 (- 1 ux))) maxCos)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) ux) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* maxCos ux))) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2)))) (/ (pow (- 1 ux) 3) (* maxCos (pow ux 2))))) (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux))) maxCos)) (* -1 (- 1 ux))) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 (neg.f32 ux) maxCos) ux) (neg.f32 maxCos))

rewrite203.0ms (4.4%)

Memory
27.1MiB live, 168.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030131
049108
1231108
21689108
0828699
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 602
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
#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 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(fma.f32 maxCos ux ux)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
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(*.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)))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
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(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32))) (neg.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (fabs.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux))) (fabs.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fabs.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (fabs.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32))) (fabs.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (fabs.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (fabs.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fabs.f32 (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32))) (fabs.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) ux)))
(pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fabs.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))

eval120.0ms (2.6%)

Memory
-7.0MiB live, 124.2MiB allocated
Compiler

Compiled 24 470 to 2 440 computations (90% saved)

prune40.0ms (0.9%)

Memory
-26.0MiB live, 31.6MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6513654
Fresh101
Picked235
Done011
Total6547661
Accuracy
100.0%
Counts
661 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶97.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
▶97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶97.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓73.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 101 to 77 computations (23.8% saved)

simplify118.0ms (2.6%)

Memory
35.2MiB live, 122.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
cost-diff2
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff2
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
cost-diff6
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
cost-diff0
(+.f32 ux #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
cost-diff5
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
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-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024186
037170
174168
2248152
31270152
45441152
08292143
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #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
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(*.f32 ux ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 ux ux)
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #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
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) ux)
(*.f32 ux ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)

localize96.0ms (2.1%)

Memory
-21.0MiB live, 84.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.328788769536884
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
accuracy0.43359375
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.4362488281475361
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
accuracy0.47181825291211776
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
accuracy0.10190415172363414
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
accuracy0.33984375
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
accuracy0.38671875
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy0.47181825291211776
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
accuracy0.0
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy0.0684514138908477
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.328125
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy0.47181825291211776
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
Samples
78.0ms249×0valid
4.0ms7×5exit
Compiler

Compiled 134 to 23 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 34.0ms (60.5% of total)
ival-div: 7.0ms (12.5% of total)
ival-mult: 7.0ms (12.5% of total)
ival-pow2: 3.0ms (5.3% of total)
ival-add: 2.0ms (3.6% of total)
adjust: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
15 → 55
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #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 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux)) (/ (* ux ux) (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
2.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux)) (/ (* ux ux) (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
1.0ms
ux
@0
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux)) (/ (* ux ux) (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
0.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux)) (/ (* ux ux) (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
0.0ms
maxCos
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (- (/ 1 ux) 1) ux) (- (/ 1 ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux)) (/ (* ux ux) (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))

simplify160.0ms (3.5%)

Memory
13.6MiB live, 140.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117470
1383447
21265419
34780419
08273399
Stop Event
1×iter limit
1×node limit
Counts
55 → 54
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos 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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 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)
(+ 1 (* ux (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) ux #s(literal 1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 (fma.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 (* -1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(*.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 ux ux) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(fma.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux ux))
(+ 1 (* 2 ux))
(fma.f32 #s(literal 2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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 (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) #s(literal 1 binary32)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32))) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* -1 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (fma.f32 ux ux ux) (neg.f32 ux))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(*.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal 3 binary32)) ux)
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* ux (- 1 (/ 1 ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(fma.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (+.f32 #s(literal 2 binary32) ux) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos) (neg.f32 ux))
(* -1 (* ux (- 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* ux (- (/ 1 ux) 1)))
(-.f32 ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(*.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) (neg.f32 ux))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)

rewrite232.0ms (5.1%)

Memory
-22.7MiB live, 264.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024167
037111
1162109
21448109
08256100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 656
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #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 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)))
#s(approx (- 1 ux) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux))
(*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux)
(*.f32 ux (expm1.f32 (neg.f32 (log.f32 ux))))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(expm1.f32 (neg.f32 (log.f32 ux)))
(/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (*.f32 ux ux) #s(literal 1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32)))
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(+.f32 (cosh.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32))))
(+.f32 (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
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eval90.0ms (2%)

Memory
31.0MiB live, 215.5MiB allocated
Compiler

Compiled 26 591 to 3 064 computations (88.5% saved)

prune12.0ms (0.3%)

Memory
4.8MiB live, 49.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7481749
Fresh000
Picked123
Done044
Total7497756
Accuracy
100.0%
Counts
756 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶97.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
✓97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓97.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓73.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 101 to 79 computations (21.8% saved)

simplify147.0ms (3.2%)

Memory
-4.1MiB live, 200.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
cost-diff1
(neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
cost-diff1
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
cost-diff8
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01789
02687
16181
221565
397364
4474064
0838460
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(+.f32 ux #s(literal 1 binary32))
ux
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
(neg.f32 ux)
#s(literal -1 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+.f32 ux #s(literal 1 binary32))
ux
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
#s(literal -1 binary32)

localize41.0ms (0.9%)

Memory
-12.1MiB live, 32.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
accuracy0.453125
(*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))
accuracy0.4635925781475362
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
accuracy0.5059116921877552
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
Samples
31.0ms249×0valid
1.0ms7×1valid
Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37.5% of total)
ival-add: 3.0ms (18.7% of total)
ival-sub: 3.0ms (18.7% of total)
ival-div: 2.0ms (12.5% of total)
ival-neg: 2.0ms (12.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
6 → 34
Calls
Call 1
Inputs
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))
Outputs
1
(+ 1 (* -1 ux))
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
-1
(- (* -1 ux) 1)
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
ux
(* ux (+ 1 (/ 1 ux)))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Calls

9 calls:

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

simplify148.0ms (3.2%)

Memory
0.6MiB live, 184.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087214
1289207
21025197
33729183
08223171
Stop Event
1×iter limit
1×node limit
Counts
34 → 33
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
-1
(- (* -1 ux) 1)
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
ux
(* ux (+ 1 (/ 1 ux)))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* 2 ux))
(fma.f32 #s(literal 2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 (-.f32 ux #s(literal -2 binary32)) ux #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) ux)
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal 1 binary32)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
ux
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (-.f32 ux #s(literal -2 binary32)) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (-.f32 ux #s(literal -2 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))

rewrite166.0ms (3.6%)

Memory
8.6MiB live, 203.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01773
02653
111845
299330
01093628
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 863
Calls
Call 1
Inputs
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))
Outputs
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(/.f32 (*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (fma.f32 ux ux (-.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (*.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))) (*.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) ux))
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(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (fma.f32 ux ux ux))
(fma.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux ux))
(fma.f32 (sqrt.f32 (neg.f32 ux)) (sqrt.f32 (neg.f32 ux)) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (fma.f32 ux ux ux))
(fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux ux ux) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (neg.f32 ux) ux) #s(literal -1 binary32) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 (neg.f32 ux) ux) #s(literal -1 binary32) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (neg.f32 ux) ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 ux ux ux))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) ux) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) ux) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 ux) #s(literal -1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (neg.f32 ux) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 ux) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux)
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux ux))
(fma.f32 #s(literal 1 binary32) ux (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 ux (-.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(fma.f32 ux ux (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(fma.f32 ux ux (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux ux #s(literal 1 binary32))
(pow.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fabs.f32 (fma.f32 ux ux #s(literal 1 binary32)))
(+.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))))
(+.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux ux) #s(literal 1 binary32))
(+.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 ux ux))
(+.f32 (*.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))))
(+.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))))
(+.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal 1 binary32)))))
(+.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(+.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (fma.f32 ux ux ux)))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) ux) ux #s(literal -1 binary32))))
(+.f32 (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32))
(+.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux)
(+.f32 (*.f32 ux ux) (-.f32 ux (-.f32 ux #s(literal 1 binary32))))
(+.f32 (*.f32 ux ux) (+.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 ux ux) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux ux))
(+.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux ux)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 ux ux ux) ux) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) ux))
(+.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+.f32 ux (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))

eval121.0ms (2.6%)

Memory
8.8MiB live, 156.6MiB allocated
Compiler

Compiled 24 697 to 2 769 computations (88.8% saved)

prune15.0ms (0.3%)

Memory
0.7MiB live, 44.1MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7411742
Fresh000
Picked101
Done066
Total7427749
Accuracy
100.0%
Counts
749 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 #s(approx (neg (+ (neg ux) -1)) (-.f32 ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
✓97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓97.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
✓73.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 348 to 157 computations (54.9% saved)

regimes36.0ms (0.8%)

Memory
-29.9MiB live, 27.5MiB allocated
Counts
12 → 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)))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (- 1 ux) (*.f32 (-.f32 (/.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) (* ux maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 #s(approx (neg (+ (neg ux) -1)) (-.f32 ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (+.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (pow.f32 (*.f32 (fma.f32 ux ux ux) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

25.0ms
ux
4.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms
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)

regimes7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB 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:

2.0ms
ux
2.0ms
uy
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
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 (0.1%)

Memory
12.9MiB live, 12.9MiB 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
uy
1.0ms
maxCos
1.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
98.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.4%1ux
98.4%1uy
98.4%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes29.0ms (0.6%)

Memory
-34.3MiB live, 10.4MiB 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:

25.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
1.0ms
ux
1.0ms
uy
Results
AccuracySegmentsBranch
73.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
73.1%1ux
73.1%1uy
73.1%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify62.0ms (1.4%)

Memory
28.7MiB live, 73.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
13234
26234
39634
413434
518634
626634
739834
864034
986634
10107134
11360634
Stop Event
1×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))

derivations266.0ms (5.8%)

Memory
-21.7MiB live, 167.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 34 to 16 computations (52.9% saved)

preprocess17.0ms (0.4%)

Memory
36.4MiB live, 36.4MiB 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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