UniformSampleCone, z

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze131.0ms (2.7%)

Memory
8.2MiB live, 101.8MiB 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)

sample1.8s (36.7%)

Memory
86.9MiB live, 1 626.4MiB allocated
Samples
1.2s8 184×0valid
10.0ms72×1valid
Precisions
Click to see histograms. Total time spent on operations: 955.0ms
const: 477.0ms (49.9% of total)
ival-<=: 215.0ms (22.5% of total)
ival-mult: 72.0ms (7.5% of total)
ival-add: 65.0ms (6.8% of total)
ival-sub: 65.0ms (6.8% of total)
ival-and: 45.0ms (4.7% of total)
exact: 11.0ms (1.2% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain105.0ms (2.2%)

Memory
-7.0MiB live, 128.8MiB 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
41.0ms508×0valid
0.0ms4×1valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 8.0ms (43.2% of total)
ival-mult: 5.0ms (27% of total)
ival-add: 4.0ms (21.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess107.0ms (2.2%)

Memory
26.8MiB live, 69.0MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify43.0ms (0.9%)

Memory
-26.1MiB live, 22.5MiB 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

localize15.0ms (0.3%)

Memory
27.7MiB live, 27.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.0
(*.f32 ux maxCos)
accuracy0.01953125
(+.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: 4.0ms
ival-add: 1.0ms (22.3% of total)
ival-sub: 1.0ms (22.3% of total)
ival-mult: 1.0ms (22.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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))

simplify120.0ms (2.5%)

Memory
-14.3MiB live, 116.5MiB 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))

rewrite250.0ms (5.2%)

Memory
-66.3MiB live, 258.7MiB 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))

eval20.0ms (0.4%)

Memory
-9.5MiB live, 37.1MiB allocated
Compiler

Compiled 4 877 to 575 computations (88.2% saved)

prune3.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh000
Picked011
Done000
Total1975202
Accuracy
100.0%
Counts
202 → 5
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))
▶98.8%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
▶99.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶69.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 49 to 45 computations (8.2% saved)

simplify27.0ms (0.6%)

Memory
-28.2MiB live, 18.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize54.0ms (1.1%)

Memory
2.3MiB live, 48.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 ux (*.f32 maxCos ux))
accuracy0.0
(*.f32 maxCos ux)
accuracy0.00390625
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0.0
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy0.01171875
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
accuracy0.11348659394845373
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.3046875
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.31708384764779474
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy9.342404622528251
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Samples
21.0ms251×0valid
2.0ms5×5exit
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (36.6% of total)
ival-mult: 4.0ms (29.3% of total)
ival-div: 2.0ms (14.6% of total)
adjust: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
10 → 26
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(/ 1 ux)
(/ (+ 1 (* -1 ux)) ux)
(* ux (- 1 maxCos))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
-1
(- (/ 1 ux) 1)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
Calls

9 calls:

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

simplify116.0ms (2.4%)

Memory
12.4MiB live, 62.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite176.0ms (3.7%)

Memory
26.6MiB live, 112.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval65.0ms (1.3%)

Memory
0.6MiB live, 46.4MiB allocated
Compiler

Compiled 8 040 to 859 computations (89.3% saved)

prune39.0ms (0.8%)

Memory
-17.7MiB live, 35.9MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2261227
Fresh000
Picked044
Done011
Total2266232
Accuracy
100.0%
Counts
232 → 6
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))
▶98.3%
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓98.8%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
✓99.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓69.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 72 to 62 computations (13.9% saved)

simplify11.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01594
02486
14286
26286
38586
412486
519686
626286
733386
836986
939186
1040186
040185
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 ux (+.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)
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 ux #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (- 1 ux) (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 ux (+.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)
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 ux #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize58.0ms (1.2%)

Memory
-37.2MiB live, 52.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.07761861218587268
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
accuracy0.31640625
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
accuracy0.4381637695368841
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
Samples
28.0ms251×0valid
3.0ms5×5exit
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32% of total)
ival-div: 5.0ms (22.9% of total)
ival-sub: 3.0ms (13.7% of total)
ival-pow: 3.0ms (13.7% of total)
ival-add: 2.0ms (9.1% of total)
adjust: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
7 → 33
Calls
Call 1
Inputs
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
Outputs
(/ 1 (pow ux 2))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(/ 1 ux)
(/ (+ 1 ux) ux)
-1
(- (/ 1 (pow ux 2)) 1)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 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)))))
(+ 1 (/ 1 ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 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
1.0ms
ux
@inf
((/ (- (pow ux -2) 1) 1) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
1.0ms
ux
@0
((/ (- (pow ux -2) 1) 1) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
1.0ms
ux
@-inf
((/ (- (pow ux -2) 1) 1) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
0.0ms
maxCos
@-inf
((/ (- (pow ux -2) 1) 1) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (- (pow ux -2) 1) (+ (/ 1 ux) 1))
0.0ms
maxCos
@inf
((/ (- (pow ux -2) 1) 1) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (- (pow ux -2) 1) (+ (/ 1 ux) 1))

simplify135.0ms (2.8%)

Memory
12.3MiB live, 111.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079231
1228223
2618219
31786209
44999205
08630196
Stop Event
1×iter limit
1×node limit
Counts
33 → 32
Calls
Call 1
Inputs
(/ 1 (pow ux 2))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(/ 1 ux)
(/ (+ 1 ux) ux)
-1
(- (/ 1 (pow ux 2)) 1)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 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)))))
(+ 1 (/ 1 ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 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 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
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)
(pow ux 2)
(*.f32 ux ux)
(* (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))))
(*.f32 (*.f32 (fma.f32 (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) ux #s(literal 1 binary32)) ux) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 ux) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) ux)
-1
#s(literal -1 binary32)
(- (/ 1 (pow ux 2)) 1)
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* 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 #s(literal 1 binary32) ux)
ux
(* 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)))))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) ux))
(+ 1 (/ 1 ux))
(/.f32 (+.f32 #s(literal 1 binary32) ux) 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 (- (/ 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 #s(literal 1 binary32) ux) ux) ux) #s(literal -1 binary32)) ux) #s(literal 1 binary32)) (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)
(*.f32 maxCos 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))

rewrite279.0ms (5.8%)

Memory
-6.4MiB live, 181.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581
02473
110555
269255
3796755
0801951
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 466
Calls
Call 1
Inputs
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
Outputs
(expm1.f32 (*.f32 (neg.f32 (log.f32 ux)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 (*.f32 ux ux)) #s(literal -1 binary32)))
(expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 ux #s(literal -8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) #s(literal 2 binary32)))) (-.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) #s(literal 3 binary32)) (pow.f32 ux #s(literal -12 binary32)))) (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (pow.f32 ux #s(literal -8 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))))
(*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (-.f32 #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) ux) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))
(*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
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(/.f32 (-.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -6 binary32)) #s(literal 1 binary32)) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (expm1.f32 (neg.f32 (log.f32 ux))))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (expm1.f32 (neg.f32 (log.f32 ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32))) (expm1.f32 (neg.f32 (log.f32 ux))))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (neg.f32 (log.f32 ux))) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal -6 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (expm1.f32 (neg.f32 (log.f32 ux)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (log.f32 ux)))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (-.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) ux)) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 ux #s(literal -6 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (-.f32 (pow.f32 ux #s(literal -4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 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 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 ux #s(literal -6 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 ux #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -1/2 binary32))) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) (neg.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 ux #s(literal -1/2 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (*.f32 (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (/.f32 (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -3/2 binary32)) (/.f32 (pow.f32 ux #s(literal -3/2 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal -2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32)))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))))
(+.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 ux))) ux) #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) (/.f32 #s(literal -1 binary32) ux)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))
(neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))

eval40.0ms (0.8%)

Memory
15.3MiB live, 58.9MiB allocated
Compiler

Compiled 16 057 to 1 991 computations (87.6% saved)

prune5.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4021403
Fresh000
Picked101
Done055
Total4036409
Accuracy
100.0%
Counts
409 → 6
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))
▶98.1%
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
✓98.8%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
✓99.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓69.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 80 to 66 computations (17.5% saved)

simplify10.0ms (0.2%)

Memory
-32.0MiB live, 12.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019132
028124
147124
278124
3115124
4157124
5185124
6209124
7226124
0226123
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 ux (+.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)
#s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))))
#s(approx (- 1 ux) (*.f32 #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))
(*.f32 #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))) (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 ux (+.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)
#s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))
#s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(*.f32 ux ux)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize43.0ms (0.9%)

Memory
22.8MiB live, 66.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.07761861218587268
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
accuracy0.24609375
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy0.31640625
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
accuracy0.4381637695368841
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))
Samples
31.0ms251×0valid
3.0ms5×5exit
Compiler

Compiled 70 to 20 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (31% of total)
ival-sub: 4.0ms (17.7% of total)
ival-mult: 4.0ms (17.7% of total)
ival-pow: 3.0ms (13.3% of total)
ival-add: 3.0ms (13.3% of total)
adjust: 1.0ms (4.4% 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
6.7MiB live, 6.7MiB allocated
Counts
6 → 30
Calls
Call 1
Inputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(/ 1 (pow ux 2))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 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)))))
-1
(- (/ 1 (pow ux 2)) 1)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 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
1.0ms
ux
@0
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (/ 1 (* ux ux)) (- (/ 1 (* ux ux)) 1))
1.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (/ 1 (* ux ux)) (- (/ 1 (* ux ux)) 1))
1.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (/ 1 (* ux ux)) (- (/ 1 (* ux ux)) 1))
0.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (/ 1 (* ux ux)) (- (/ 1 (* ux ux)) 1))
0.0ms
maxCos
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* (/ ux (+ (/ 1 ux) 1)) (/ (- (pow ux -2) 1) 1)) (/ ux (+ (/ 1 ux) 1)) (/ 1 (* ux ux)) (- (/ 1 (* ux ux)) 1))

simplify123.0ms (2.6%)

Memory
-21.8MiB live, 157.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076222
1221212
2610208
31762195
44783195
57576195
08045185
Stop Event
1×iter limit
1×node limit
Counts
30 → 29
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(/ 1 (pow ux 2))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 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)))))
-1
(- (/ 1 (pow ux 2)) 1)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 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)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(pow ux 2)
(*.f32 ux ux)
(* (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 (-.f32 ux #s(literal 1 binary32)) ux) ux ux) ux)
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) ux) ux)
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 (* -1 (pow ux 2))) (pow ux 2))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #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)
ux
(* 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) #s(literal 1 binary32)) ux)
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) ux (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(- (/ 1 (pow ux 2)) 1)
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 (fma.f32 maxCos ux #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 (- (/ 1 ux) 1)))
(*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) ux)
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(*.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)) (neg.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)

rewrite186.0ms (3.9%)

Memory
39.8MiB live, 227.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
02894
112184
279084
0919383
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 265
Calls
Call 1
Inputs
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
#s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))))
(*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 2 binary32)))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 3 binary32)))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (-.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32))))))
(*.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(*.f32 (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (/.f32 (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux)))) (*.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))) (+.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux)))))
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(-.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 (neg.f32 ux) maxCos))
(fma.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 2 binary32)))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 3 binary32)))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (-.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32))))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))) (/.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(fma.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (/.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(fma.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 2 binary32)))) (-.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) #s(literal 3 binary32)))) (+.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (-.f32 (*.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32))))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (*.f32 maxCos #s(literal 1 binary32)) ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3/2 binary32)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3/2 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3/2 binary32)) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3/2 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (neg.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (/.f32 (neg.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(fma.f32 (fabs.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (/.f32 (fabs.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (/.f32 (*.f32 maxCos ux) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (/.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (*.f32 maxCos ux) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 (*.f32 maxCos ux) #s(literal 1 binary32) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
(fma.f32 maxCos ux #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
(fma.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (/.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))) (/.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (*.f32 maxCos ux))))
(fma.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) (/.f32 (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux))))))) (pow.f32 #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))) #s(literal 2 binary32)))))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
(fma.f32 ux maxCos #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 maxCos ux) #s(approx (- 1 ux) (*.f32 (neg.f32 ux) (/.f32 #s(approx (/ (- (pow ux -2) 1) 1) (expm1.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32)))) (expm1.f32 (neg.f32 (log.f32 ux)))))))
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(fma.f32 (/.f32 (pow.f32 ux #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 ux #s(literal -1/2 binary32)) ux) #s(literal -1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (*.f32 (pow.f32 ux #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) ux)) #s(literal -1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (/.f32 (pow.f32 ux #s(literal -1/2 binary32)) ux) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(fma.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32))
(+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32))) (-.f32 (sinh.f32 (*.f32 (log.f32 ux) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal -2 binary32)))
(neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))

eval54.0ms (1.1%)

Memory
-27.5MiB live, 76.5MiB allocated
Compiler

Compiled 18 155 to 1 468 computations (91.9% saved)

prune5.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2860286
Fresh000
Picked011
Done055
Total2866292
Accuracy
100.0%
Counts
292 → 6
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))
✓98.1%
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
✓98.8%
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
✓99.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓69.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 183 to 107 computations (41.5% saved)

regimes13.0ms (0.3%)

Memory
-24.2MiB live, 21.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) (*.f32 ux maxCos))
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(approx (/ (- (pow ux -2) 1) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
(+.f32 #s(approx (- 1 ux) (*.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

5.0ms
ux
3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
maxCos
Results
AccuracySegmentsBranch
100.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
100.0%1ux
100.0%1uy
100.0%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB 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
uy
2.0ms
ux
2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux 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
14.6MiB live, 14.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

1.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
1.0ms
uy
Results
AccuracySegmentsBranch
99.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
99.0%1ux
99.0%1uy
99.0%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.2%)

Memory
-32.4MiB live, 12.7MiB 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:

4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
maxCos
1.0ms
ux
Results
AccuracySegmentsBranch
69.5%1uy
69.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
69.5%1ux
69.5%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify73.0ms (1.5%)

Memory
-4.5MiB live, 57.6MiB 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))

soundness668.0ms (13.9%)

Memory
15.6MiB live, 256.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 59 to 37 computations (37.3% saved)

preprocess27.0ms (0.6%)

Memory
-14.3MiB live, 32.4MiB 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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