Rust f32::acosh

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample547.0ms (7.5%)

Memory
10.9MiB live, 681.9MiB allocated
Samples
376.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-acosh: 119.0ms (77.4% of total)
ival->=: 25.0ms (16.3% of total)
exact: 6.0ms (3.9% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

explain142.0ms (2%)

Memory
-40.7MiB live, 163.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
10-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-#s(literal 1 binary32)
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1250
(*.f32 x x)overflow125
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow125
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(*.f32 x x)overflow125
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow125
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-01130
Precision?
0.9920634920634921
Recall?
1.0
Freqs
test
numberfreq
0131
1124
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms512×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (29.2% of total)
ival-log: 5.0ms (24.3% of total)
ival-sqrt: 4.0ms (19.5% of total)
ival-sub: 3.0ms (14.6% of total)
ival-add: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess289.0ms (4%)

Memory
32.2MiB live, 218.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
079
0129
1219
2259
3409
4719
51329
62989
75789
823379
934399
1047189
1154109
1257189
1359049
1460069
1563259
1668199
1778629
080728
Stop Event
iter limit
node limit
iter limit
saturated
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify353.0ms (4.9%)

Memory
15.5MiB live, 207.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff0
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff64
(-.f32 (*.f32 x x) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12133
22533
34033
47133
513233
629833
757833
8233733
9343933
10471833
11541033
12571833
13590433
14600633
15632533
16681933
17786233
0807229
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

localize23.0ms (0.3%)

Memory
0.7MiB live, 37.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy0.030886291389095776
(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy0.12471124124740375
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy13.491610192861245
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Samples
17.0ms256×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (33.2% of total)
ival-mult: 2.0ms (22.1% of total)
ival-sqrt: 2.0ms (22.1% of total)
ival-sub: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
4 → 39
Calls
Call 1
Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Outputs
-1
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms
x
@-inf
((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms
x
@inf
((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

simplify137.0ms (1.9%)

Memory
-22.7MiB live, 138.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150519
1411493
21170486
33366448
08112426
Stop Event
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
Outputs
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))

rewrite179.0ms (2.5%)

Memory
-5.8MiB live, 272.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
14928
232228
3363828
0865624
Stop Event
iter limit
node limit
iter limit
Counts
4 → 320
Calls
Call 1
Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Outputs
(expm1.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 1 binary32)))
(expm1.f32 (log.f32 (*.f32 x x)))
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 x x)))))
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
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(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32)))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval47.0ms (0.6%)

Memory
28.4MiB live, 65.9MiB allocated
Compiler

Compiled 8 208 to 1 577 computations (80.8% saved)

prune105.0ms (1.4%)

Memory
-8.9MiB live, 50.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3525357
Fresh000
Picked011
Done000
Total3526358
Accuracy
100.0%
Counts
358 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
0.6%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
97.3%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
97.0%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
Compiler

Compiled 143 to 109 computations (23.8% saved)

simplify242.0ms (3.3%)

Memory
8.6MiB live, 115.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 #s(literal 2 binary32))
cost-diff0
(log.f32 x)
cost-diff0
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff0
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
cost-diff0
(fma.f32 x x #s(literal -1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff0
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff0
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
cost-diff0
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
cost-diff0
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
cost-diff0
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff0
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
cost-diff0
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031176
047168
164168
274168
3103168
4157168
5298168
6613168
71191168
82829168
94525168
105592168
116036168
126144168
136223168
146299168
157021168
167677168
08109168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
x
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
#s(literal 2 binary32)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
x
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
#s(literal 2 binary32)
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

localize163.0ms (2.2%)

Memory
-7.0MiB live, 116.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f32 x)
accuracy0.0
(log.f32 #s(literal 2 binary32))
accuracy0.2265625
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy0.7448429531917741
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy0.0078125
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy0.12471124124740375
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy13.491610192861245
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy31.445147782734857
(fma.f32 x x #s(literal -1 binary32))
accuracy0.0
(/.f32 #s(literal -1/2 binary32) x)
accuracy0.12471124124740375
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
accuracy0.4098696994971875
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
accuracy30.089259714722207
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
accuracy0.0
(*.f32 #s(literal 2 binary32) x)
accuracy0.12471124124740375
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy0.8622014546430584
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy0.00390625
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy0.0078125
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy0.12471124124740375
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy0.4532780588696481
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
Samples
103.0ms256×0valid
Compiler

Compiled 313 to 56 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 46.0ms (49.9% of total)
ival-sub: 24.0ms (26% of total)
ival-log: 9.0ms (9.8% of total)
ival-add: 5.0ms (5.4% of total)
ival-div: 4.0ms (4.3% of total)
ival-sqrt: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (1.2%)

Memory
-2.9MiB live, 119.7MiB allocated
Counts
19 → 49
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))
Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(* 2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
-1
(- (pow x 2) 1)
(+ (log 2) (log x))
(log x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
Calls

3 calls:

TimeVariablePointExpression
54.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))
21.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))
14.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2))

simplify345.0ms (4.8%)

Memory
3.0MiB live, 159.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169578
1456552
21272529
33635502
08298478
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(* 2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
-1
(- (pow x 2) 1)
(+ (log 2) (log x))
(log x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log x)
(log.f32 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))

rewrite229.0ms (3.2%)

Memory
-19.4MiB live, 212.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031162
047152
1173152
21186152
08433152
Stop Event
iter limit
node limit
iter limit
Counts
19 → 420
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))
Outputs
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))))
(*.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))
(*.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))
(*.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))))
(*.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))
(*.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))))
(*.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))
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(*.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))))))
(*.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(*.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32))))))
(pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 x)
(log.f32 #s(literal 2 binary32))

eval71.0ms (1%)

Memory
27.4MiB live, 114.3MiB allocated
Compiler

Compiled 12 144 to 1 923 computations (84.2% saved)

prune10.0ms (0.1%)

Memory
-8.0MiB live, 28.7MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4602462
Fresh000
Picked235
Done011
Total4626468
Accuracy
100.0%
Counts
468 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.5%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
23.0%
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
97.3%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
97.6%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify269.0ms (3.7%)

Memory
7.0MiB live, 194.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)
cost-diff0
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
cost-diff64
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
cost-diff160
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
cost-diff0
(/.f32 #s(literal 1/2 binary32) x)
cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff0
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
cost-diff0
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023116
035116
156108
280108
3134108
4224108
5388108
6852108
71407108
82757108
93979108
104990108
115610108
125835108
135932108
146017108
156755108
167415108
177751108
08023102
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
x
#s(literal 4 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(-.f32 #s(literal -1 binary32) (*.f32 x x))
#s(literal -1 binary32)
(*.f32 x x)
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
x
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x))
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 4 binary32))
x
#s(literal 4 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(-.f32 #s(literal -1 binary32) (*.f32 x x))
#s(literal -1 binary32)
(*.f32 x x)

localize401.0ms (5.5%)

Memory
-119.8MiB live, 172.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.12471124124740375
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
accuracy0.6748407804493041
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
accuracy13.491610192861245
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
accuracy17.822324497621892
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
accuracy0.0
(/.f32 #s(literal 1/2 binary32) x)
accuracy0.0
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
accuracy0.0234375
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy0.7448429531917741
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Samples
338.0ms256×0valid
Compiler

Compiled 228 to 47 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-sqrt: 264.0ms (80.3% of total)
ival-neg: 40.0ms (12.2% of total)
ival-log: 7.0ms (2.1% of total)
ival-div: 4.0ms (1.2% of total)
ival-sub: 4.0ms (1.2% of total)
ival-pow: 4.0ms (1.2% of total)
ival-mult: 3.0ms (0.9% of total)
ival-add: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (1%)

Memory
-27.2MiB live, 94.3MiB allocated
Counts
9 → 61
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(* x (+ 1 (pow (sqrt -1) 2)))
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@0
((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))
17.0ms
x
@-inf
((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))
12.0ms
x
@inf
((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))

simplify195.0ms (2.7%)

Memory
6.3MiB live, 160.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781204
1803792
22670749
36611742
08023719
Stop Event
iter limit
node limit
Counts
61 → 61
Calls
Call 1
Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(* x (+ 1 (pow (sqrt -1) 2)))
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(-.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32)))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) x) x) (+.f32 (/.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x) x)
(/ -1 (pow x 2))
(/.f32 (/.f32 #s(literal -1 binary32) x) x)
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) x) x)) (*.f32 x x))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (*.f32 x x))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 x))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 x)))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32)))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) #s(literal 90 binary32) (/.f32 #s(literal -30 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32))))
(* x (+ 1 (pow (sqrt -1) 2)))
#s(literal 0 binary32)
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (pow (sqrt -1) 2))
(neg.f32 x)
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 1 binary32)) x)
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(+.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32)))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)

rewrite321.0ms (4.4%)

Memory
37.4MiB live, 186.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02394
03586
114360
2100860
0872054
Stop Event
iter limit
node limit
iter limit
Counts
9 → 826
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal 1/2 binary32) x)
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(log.f32 (*.f32 #s(literal 2 binary32) x))
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32))
(/.f32 (-.f32 (*.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 #s(literal 1/2 binary32)))) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 #s(literal 1/2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 1/2 binary32) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (neg.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (log.f32 x)))
(-.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32) (*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x))))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x)))
(+.f32 (*.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)))
(+.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x))))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x))
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (/.f32 #s(literal 1/2 binary32) x))
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) x))))
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))))
(*.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (-.f32 (*.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1/2 binary32))) (*.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 (log.f32 x)) (neg.f32 (log.f32 x)))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1/2 binary32)) (fma.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)) (*.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 x)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (*.f32 (neg.f32 (log.f32 x)) (neg.f32 (log.f32 x))) (*.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 x))))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) x)))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) x)) (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))) (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))))
(-.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(literal 1/2 binary32)))) (log.f32 x))
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(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (*.f32 x x))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (sqrt.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (sqrt.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))))) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval254.0ms (3.5%)

Memory
-13.1MiB live, 173.4MiB allocated
Compiler

Compiled 25 405 to 4 020 computations (84.2% saved)

prune126.0ms (1.7%)

Memory
-5.1MiB live, 58.6MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New8832885
Fresh000
Picked022
Done134
Total8847891
Accuracy
100.0%
Counts
891 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
23.0%
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
97.3%
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
1.3%
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
97.6%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify75.0ms (1%)

Memory
-9.5MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
cost-diff0
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
cost-diff0
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
cost-diff0
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
cost-diff0
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892
02192
13482
25282
38982
415682
525482
648182
764882
872382
974782
1080182
1183782
1284982
084977
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
#s(literal 0 binary32)
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
x
Outputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
#s(literal 0 binary32)
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
x

localize122.0ms (1.7%)

Memory
20.6MiB live, 58.6MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
accuracy0.12471124124740375
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
accuracy0.9411173957079549
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
accuracy0.12471124124740375
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
accuracy30.562568520847783
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
Samples
114.0ms256×0valid
Compiler

Compiled 176 to 34 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-log: 93.0ms (86.7% of total)
ival-mult: 3.0ms (2.8% of total)
ival-pow: 3.0ms (2.8% of total)
ival-div: 2.0ms (1.9% of total)
ival-sub: 2.0ms (1.9% of total)
ival-sqrt: 2.0ms (1.9% of total)
ival-add: 1.0ms (0.9% 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%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
5 → 35
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
Outputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(* x (+ 1 (pow (sqrt -1) 2)))
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))
1.0ms
x
@-inf
((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))
0.0ms
x
@0
((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))))

simplify349.0ms (4.8%)

Memory
-1.8MiB live, 149.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197879
1579486
21901450
36103439
08294419
Stop Event
iter limit
node limit
Counts
35 → 35
Calls
Call 1
Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(* x (+ 1 (pow (sqrt -1) 2)))
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(* x (pow (sqrt -1) 2))
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x))
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1)))))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x))
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1)))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x))) x (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))))
(fma.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1))))))
(fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1))))))))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 0 binary32)))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 0 binary32))))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32)))
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) #s(literal 90 binary32) (/.f32 #s(literal -30 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32))))
(* x (+ 1 (pow (sqrt -1) 2)))
#s(literal 0 binary32)
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x))
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x)))
(* x (pow (sqrt -1) 2))
(neg.f32 x)
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 x))
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))
(-.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) (*.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x))

rewrite894.0ms (12.3%)

Memory
24.0MiB live, 216.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
02180
110150
271550
0860845
Stop Event
iter limit
node limit
iter limit
Counts
5 → 61
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)
Outputs
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))) (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))
(fma.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)
(+.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))
(neg.f32 (/.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))
(neg.f32 (/.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))
(neg.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))))
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)

eval330.0ms (4.6%)

Memory
-48.0MiB live, 8.0MiB allocated
Compiler

Compiled 5 552 to 408 computations (92.7% saved)

prune5.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New93093
Fresh000
Picked022
Done055
Total937100
Accuracy
100.0%
Counts
100 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
23.0%
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
97.3%
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
54.3%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
1.3%
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
97.6%
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Compiler

Compiled 248 to 142 computations (42.7% saved)

regimes10.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x))
Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
Calls

3 calls:

2.0ms
x
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.6%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory
-27.4MiB live, 11.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
Outputs
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
97.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
Outputs
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
Calls

3 calls:

1.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
1.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms
x
Results
AccuracySegmentsBranch
1.3%1x
1.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify86.0ms (1.2%)

Memory
10.2MiB live, 47.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03168
15464
28864
316964
428764
555264
6124464
7238764
8371264
9532164
10666664
11719364
12748464
13782964
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))
Outputs
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)))

soundness724.0ms (10%)

Memory
-17.3MiB live, 632.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150519
1411493
21170486
33366448
08112426
02781204
1803792
22670749
36611742
08023719
0728
01228
14928
232228
3363828
0865624
031162
047152
1173152
21186152
08433152
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 196 to 117 computations (40.3% saved)

preprocess28.0ms (0.4%)

Memory
32.2MiB live, 68.9MiB allocated
Compiler

Compiled 178 to 94 computations (47.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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