Rust f32::acosh

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample768.0ms (16.5%)

Memory
2.5MiB live, 867.9MiB allocated
Samples
514.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-acosh: 135.0ms (69.9% of total)
ival->=: 45.0ms (23.3% of total)
exact: 6.0ms (3.1% of total)
ival-assert: 4.0ms (2.1% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain182.0ms (3.9%)

Memory
-1.4MiB live, 193.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
40-0-(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-rescue1300
(*.f32 x x)overflow130
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow130
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue40
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow4
(*.f32 x x)overflow130
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow130
Confusion
Predicted +Predicted -
+1300
-0126
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13000
-00126
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0126
1126
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 5.0ms (26% of total)
ival-mult: 4.0ms (20.8% of total)
ival-sqrt: 4.0ms (20.8% of total)
ival-add: 3.0ms (15.6% of total)
ival-sub: 3.0ms (15.6% of total)
ival-true: 1.0ms (5.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess191.0ms (4.1%)

Memory
4.3MiB live, 192.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
079
0129
1229
2469
3859
41459
52339
64489
77179
810839
917749
1049699
1162029
1273839
1379329
082008
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify235.0ms (5%)

Memory
-30.5MiB live, 247.5MiB 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-diff1
(-.f32 (*.f32 x x) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12233
24633
38533
414533
523333
644833
771733
8108333
9177433
10496933
11620233
12738333
13793233
0820029
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)

localize25.0ms (0.5%)

Memory
15.4MiB live, 56.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy0.0234375
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy13.934462777069731
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Samples
19.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (31.2% of total)
ival-mult: 2.0ms (20.8% of total)
ival-sqrt: 2.0ms (20.8% of total)
ival-add: 1.0ms (10.4% of total)
ival-sub: 1.0ms (10.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB 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)))
2.0ms
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)))

simplify288.0ms (6.2%)

Memory
-3.5MiB live, 449.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150525
1470499
21636485
36830485
08396464
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 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) x (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 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #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 (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))))
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (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 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (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 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) x) 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 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (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)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 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)))))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (/.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) 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 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x 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 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) 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 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 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 #s(literal -1/8 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 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 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) x (neg.f32 x))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))

rewrite228.0ms (4.9%)

Memory
-18.6MiB live, 172.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01215
15315
236913
0455612
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 229
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 (neg.f32 x)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.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 #s(literal 1 binary32) (pow.f32 x #s(literal 6 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 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 (-.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 (sinh.f32 (acosh.f32 x)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (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 (neg.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (neg.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (sinh.f32 (acosh.f32 x))))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sinh.f32 (acosh.f32 x))))
(*.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 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (pow.f32 (sinh.f32 (acosh.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 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 x))) (cosh.f32 (asinh.f32 x)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 x))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 x))) #s(literal 2 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 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x)))) (cosh.f32 (asinh.f32 x)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 x)) (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 2 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 (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 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 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 (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 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 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)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (neg.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 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #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 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (cosh.f32 (asinh.f32 x)) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) (*.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (cosh.f32 (asinh.f32 x))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (asinh.f32 x))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 4 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)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 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 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 18 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))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #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 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 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 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)) #s(literal -1 binary32))
(fma.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x))
(fma.f32 (-.f32 x #s(literal 1 binary32)) x (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 x (-.f32 x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(fabs.f32 (fma.f32 x x #s(literal -1 binary32)))
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(fma.f32 (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) x)
(fma.f32 (fabs.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (fabs.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (sinh.f32 (acosh.f32 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sinh.f32 (acosh.f32 x)))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) x)
(fma.f32 (sqrt.f32 (sinh.f32 (acosh.f32 x))) (sqrt.f32 (sinh.f32 (acosh.f32 x))) x)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3/2 binary32)) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3/2 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(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 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (sinh.f32 (acosh.f32 x)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 (sinh.f32 (acosh.f32 x)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 #s(literal 1 binary32) x (sinh.f32 (acosh.f32 x)))
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 x (/.f32 x (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 x #s(literal 1 binary32) (sinh.f32 (acosh.f32 x)))
(+.f32 (cosh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(+.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
(exp.f32 (acosh.f32 x))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))) (fabs.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32))))
(*.f32 (fabs.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (fabs.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))) (sqrt.f32 (neg.f32 (sinh.f32 (acosh.f32 x)))))
(*.f32 (sqrt.f32 (sinh.f32 (acosh.f32 x))) (sqrt.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #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 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal -2 binary32))
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (neg.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 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 (neg.f32 x))) (exp.f32 (neg.f32 (acosh.f32 (neg.f32 x))))) #s(literal 2 binary32))
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (cosh.f32 (asinh.f32 x)))
(/.f32 (sinh.f32 (acosh.f32 (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (acosh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (acosh.f32 x))) #s(literal 2 binary32)))
(-.f32 (*.f32 (sinh.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (cosh.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))) (*.f32 (cosh.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (sinh.f32 (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))))
(-.f32 (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))))
(pow.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sinh.f32 (acosh.f32 x))))
(fabs.f32 (sinh.f32 (acosh.f32 x)))
(+.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))) (sinh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))))
(exp.f32 (log.f32 (sinh.f32 (acosh.f32 x))))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 x))

eval41.0ms (0.9%)

Memory
19.5MiB live, 62.0MiB allocated
Compiler

Compiled 5 950 to 1 278 computations (78.5% saved)

prune31.0ms (0.7%)

Memory
-29.9MiB live, 15.7MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2643267
Fresh000
Picked011
Done000
Total2644268
Accuracy
100.0%
Counts
268 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
52.5%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
96.1%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify202.0ms (4.3%)

Memory
4.1MiB live, 109.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
cost-diff0
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
cost-diff1
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 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
(acosh.f32 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
02881
14681
27781
312781
420681
530181
651981
780581
8117681
9193381
10571581
11702781
12786981
0806177
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(acosh.f32 x)
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)
#s(literal 2 binary32)
x
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
Outputs
(acosh.f32 x)
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)
#s(literal 2 binary32)
x
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(sqrt.f32 (-.f32 x #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) x)
(-.f32 x #s(literal -1 binary32))

localize70.0ms (1.5%)

Memory
-4.8MiB live, 81.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
accuracy0.0234375
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
accuracy0.4921875
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
accuracy0.0
(*.f32 #s(literal 2 binary32) x)
accuracy0.4832197666553648
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy0.9353007461456281
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy0.2578125
(acosh.f32 x)
Samples
47.0ms256×0valid
Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-log: 19.0ms (49.2% of total)
ival-mult: 5.0ms (12.9% of total)
ival-sqrt: 5.0ms (12.9% of total)
ival-add: 3.0ms (7.8% of total)
ival-sub: 3.0ms (7.8% of total)
ival-acosh: 3.0ms (7.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
9 → 64
Calls
Call 1
Inputs
(acosh.f32 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)
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) 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)))))
(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))))))))
(* 2 x)
(+ (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))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (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 (- (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))))))))
(+ (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 (* 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)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (+ 1 x)))
2.0ms
x
@inf
((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (+ 1 x)))
1.0ms
x
@0
((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (+ 1 x)))

simplify188.0ms (4%)

Memory
11.5MiB live, 203.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161210
11001990
23974983
08442937
Stop Event
iter limit
node limit
Counts
64 → 63
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))))))))
(* 2 x)
(+ (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))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(+ (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 (- (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))))))))
(+ (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 (* 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)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (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)) (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x 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 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #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 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(+ (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 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (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)) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) x) 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))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) x) #s(literal 1/8 binary32)) x #s(literal 1/2 binary32)) 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 (+.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)))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (/.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) 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 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.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))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (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) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32)) (neg.f32 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 (fma.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 x))
(* -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 #s(literal 1/2 binary32) (*.f32 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 #s(literal 1/2 binary32) (*.f32 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 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (+.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)))))
(+ (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 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.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 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/720 binary32) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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 -1/2 binary32) (*.f32 x x)) x 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 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) 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 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 x) #s(literal 1 binary32))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/16 binary32)) (neg.f32 x)))

rewrite49.0ms (1.1%)

Memory
5.6MiB live, 51.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01870
02852
110542
076042
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
9 → 62
Calls
Call 1
Inputs
(acosh.f32 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)
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x 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)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))
(fma.f32 #s(literal 1 binary32) x x)
(fma.f32 x #s(literal 1 binary32) x)
(+.f32 x x)
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32))) (fma.f32 x x (+.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (neg.f32 (sinh.f32 (acosh.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sinh.f32 (acosh.f32 x)) x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 x (*.f32 (neg.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))))
(-.f32 x (neg.f32 (sinh.f32 (acosh.f32 x))))
(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 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 #s(literal 1 binary32) x (*.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(fma.f32 #s(literal 1 binary32) x (sinh.f32 (acosh.f32 x)))
(fma.f32 x #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(fma.f32 x #s(literal 1 binary32) (sinh.f32 (acosh.f32 x)))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (*.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(+.f32 x (sinh.f32 (acosh.f32 x)))
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(*.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 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(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 (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 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 x)) (exp.f32 (neg.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (sinh.f32 (acosh.f32 x)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1/2 binary32)))

eval62.0ms (1.3%)

Memory
-5.2MiB live, 53.7MiB allocated
Compiler

Compiled 2 405 to 598 computations (75.1% saved)

prune49.0ms (1.1%)

Memory
-33.1MiB live, 13.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1163119
Fresh000
Picked123
Done011
Total1176123
Accuracy
100.0%
Counts
123 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
52.5%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
96.1%
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify32.0ms (0.7%)

Memory
4.4MiB live, 49.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
cost-diff0
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
cost-diff1
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
cost-diff7
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
cost-diff0
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
cost-diff1
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
cost-diff7
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
cost-diff0
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
cost-diff0
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025203
041155
173147
2153147
3489147
41177147
51195147
01195143
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
x
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/4 binary32)
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
x
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 1/4 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
Outputs
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)
x
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
(log.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/4 binary32)
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 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 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 1/4 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)

localize162.0ms (3.5%)

Memory
6.7MiB live, 195.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
accuracy0.4921875
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
accuracy0.5091400390737681
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
accuracy0.0234375
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
accuracy0.4921875
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
accuracy0.5208587890737681
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
accuracy0.0234375
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
accuracy0.4832197666553648
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
accuracy1.0231725124236402
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
Samples
125.0ms256×0valid
Compiler

Compiled 199 to 22 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-sqrt: 30.0ms (36.6% of total)
ival-mult: 29.0ms (35.3% of total)
ival-pow: 8.0ms (9.7% of total)
ival-log: 7.0ms (8.5% of total)
ival-add: 5.0ms (6.1% of total)
ival-sub: 2.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
11 → 56
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) 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)))))
(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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (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))))
(* 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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(+ (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)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

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

simplify220.0ms (4.7%)

Memory
-3.3MiB live, 337.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841077
1904876
23518866
08641818
Stop Event
iter limit
node limit
Counts
56 → 55
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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (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))))
(* 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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(+ (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)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (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)) (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x 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 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #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 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 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))))
(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 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (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)) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) x) 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
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) x) #s(literal 1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.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)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) 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 (log.f32 #s(literal -2 binary32)) (-.f32 (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 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (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))) (+ (* 1/720 (/ (+ (* 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)))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 15 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (+.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(* -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 #s(literal 1/2 binary32) (*.f32 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 -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 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 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(*.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (+.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)))) 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 -1/2 binary32) (*.f32 x x)) x 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 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x 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 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)

rewrite889.0ms (19.1%)

Memory
-17.1MiB live, 344.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025166
041101
114783
286248
0834148
Stop Event
iter limit
node limit
iter limit
Counts
11 → 767
Calls
Call 1
Inputs
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
Outputs
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))
(/.f32 (-.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (*.f32 (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (+.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) (+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (fma.f32 (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (*.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) 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 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) (log.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (log.f32 (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (*.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (fma.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (*.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (-.f32 (*.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) (neg.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (*.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)))) (*.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)) (*.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)))) (*.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))
(/.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))
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(exp.f32 (fma.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32) (*.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32) (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))))
(exp.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32) (*.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log1p.f32 x) #s(literal 1/2 binary32) (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))))
(exp.f32 (fma.f32 (log1p.f32 x) #s(literal 1/2 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log1p.f32 x) #s(literal 1/2 binary32) (*.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log1p.f32 x) #s(literal 1/2 binary32) (*.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) (fma.f32 (log1p.f32 x) #s(literal 1/4 binary32) (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(exp.f32 (+.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32))))
(exp.f32 (+.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/4 binary32) (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32) (fma.f32 (log1p.f32 x) #s(literal 1/4 binary32) (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32) (*.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32) (fma.f32 (log1p.f32 x) #s(literal 1/4 binary32) (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (log1p.f32 x) #s(literal 1/4 binary32) (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(exp.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 x)) #s(literal 1/4 binary32))))
(exp.f32 (fma.f32 (log.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 4 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (sinh.f32 (acosh.f32 x)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))

eval67.0ms (1.4%)

Memory
-71.7MiB live, 120.9MiB allocated
Compiler

Compiled 17 133 to 2 409 computations (85.9% saved)

prune8.0ms (0.2%)

Memory
30.2MiB live, 30.2MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5402542
Fresh000
Picked213
Done033
Total5426548
Accuracy
100.0%
Counts
548 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
52.5%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
96.1%
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify44.0ms (0.9%)

Memory
-38.2MiB live, 11.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
cost-diff0
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
cost-diff1
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
cost-diff3
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
cost-diff0
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
cost-diff1
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
cost-diff3
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018134
032134
148118
288110
3217110
4563110
51229110
61249110
01249106
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
x
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)
Outputs
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
(log.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))
(+.f32 #s(literal 1 binary32) x)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
x
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 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))))
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
(pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
(+.f32 #s(literal 1 binary32) x)

localize61.0ms (1.3%)

Memory
0.0MiB live, 90.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
accuracy0.4921875
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
accuracy0.5091400390737681
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy0.0234375
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
accuracy0.4832197666553648
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
accuracy0.4921875
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
accuracy0.5208587890737681
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
Samples
44.0ms256×0valid
Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 8.0ms (22.9% of total)
ival-sub: 6.0ms (17.2% of total)
ival-log: 5.0ms (14.3% of total)
ival-pow2: 5.0ms (14.3% of total)
ival-add: 4.0ms (11.5% of total)
ival-mult: 3.0ms (8.6% of total)
ival-sqrt: 3.0ms (8.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
8 → 56
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(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))))))))
(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) (* 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))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* 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)))))
(+ (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
(* 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)))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -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))))))))
(+ (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 (* 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)))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((pow (pow (+ 1 x) 1/4) 2) (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2))) (log (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)))) (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)) (pow (pow (- x 1) 1/4) 2) (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x)))) (log (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))) (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))
1.0ms
x
@inf
((pow (pow (+ 1 x) 1/4) 2) (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2))) (log (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)))) (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)) (pow (pow (- x 1) 1/4) 2) (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x)))) (log (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))) (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))
0.0ms
x
@0
((pow (pow (+ 1 x) 1/4) 2) (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2))) (log (+ x (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)))) (* (sqrt (- x 1)) (pow (pow (+ 1 x) 1/4) 2)) (pow (pow (- x 1) 1/4) 2) (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x)))) (log (+ x (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))) (* (pow (pow (- x 1) 1/4) 2) (sqrt (+ 1 x))))

simplify150.0ms (3.2%)

Memory
41.2MiB live, 175.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02841077
1904876
23515866
08651818
Stop Event
iter limit
node limit
Counts
56 → 55
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(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))))))))
(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) (* 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))))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* 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)))))
(+ (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
(* 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)))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -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))))))))
(+ (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 (* 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)))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) x) #s(literal 1/8 binary32)) x #s(literal 1/2 binary32)) x #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 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(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 x (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 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) x (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)) (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x 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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 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 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (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)) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (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))))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.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)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) 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 (+.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)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(*.f32 (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)
(* -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 #s(literal 1/2 binary32) (*.f32 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 -1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 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 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(*.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (+.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)))) 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 (log.f32 #s(literal -2 binary32)) (-.f32 (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 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (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))) (+ (* 1/720 (/ (+ (* 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)))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 15 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (+.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 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 -1/2 binary32) (*.f32 x x)) x 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 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x 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 (neg.f32 x) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x)

rewrite188.0ms (4%)

Memory
9.6MiB live, 239.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01896
03272
111954
257528
3608328
0816428
Stop Event
iter limit
node limit
iter limit
Counts
8 → 568
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
Outputs
(*.f32 (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/16 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/16 binary32)))
(*.f32 (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/16 binary32)) (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/16 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32))))
(*.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32))) (*.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/8 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (-.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))))))
(/.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (cosh.f32 (asinh.f32 (pow.f32 x #s(literal 3/2 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)))))
(/.f32 (sin.f32 (acos.f32 x)) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (cosh.f32 (asinh.f32 (pow.f32 x #s(literal 3/2 binary32)))) (sqrt.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32))))
(/.f32 (sinh.f32 (acosh.f32 x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))))
(fma.f32 (cosh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (sinh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(fma.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (cosh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))))
(fma.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (cosh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (sinh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))
(pow.f32 (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/8 binary32))
(pow.f32 (neg.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/8 binary32)) #s(literal 4 binary32))
(pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(+.f32 (cosh.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)) #s(literal 1 binary32))) (sinh.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)) #s(literal 1 binary32))))
(+.f32 (*.f32 (cosh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (*.f32 (sinh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(+.f32 (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (cosh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))) (*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (sinh.f32 (*.f32 (log1p.f32 x) #s(literal 1/4 binary32)))))
(+.f32 (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))))
(+.f32 (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))) (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)) #s(literal 1 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))
(neg.f32 (neg.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (sinh.f32 (acosh.f32 x)) (+.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (sinh.f32 (acosh.f32 x)) x))
(*.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))) (fma.f32 x x (*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (-.f32 (sinh.f32 (acosh.f32 x)) x))))
(*.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x) (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x) (/.f32 (-.f32 x (sinh.f32 (acosh.f32 x))) (-.f32 x (sinh.f32 (acosh.f32 x)))))
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(+.f32 (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (cosh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 x)))))
(+.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))) (sinh.f32 (log.f32 (sinh.f32 (acosh.f32 x)))))
(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 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (log.f32 (sinh.f32 (acosh.f32 x))))
(neg.f32 (neg.f32 (sinh.f32 (acosh.f32 x))))
(sinh.f32 (acosh.f32 (pow.f32 x #s(literal 1 binary32))))
(sinh.f32 (acosh.f32 (neg.f32 (neg.f32 x))))
(sinh.f32 (acosh.f32 (neg.f32 (fabs.f32 x))))
(sinh.f32 (acosh.f32 (fabs.f32 (fabs.f32 x))))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))

eval46.0ms (1%)

Memory
-32.3MiB live, 112.9MiB allocated
Compiler

Compiled 10 282 to 1 823 computations (82.3% saved)

prune7.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3970397
Fresh000
Picked022
Done044
Total3976403
Accuracy
100.0%
Counts
403 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
98.5%
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
52.5%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
96.1%
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
99.2%
(acosh.f32 x)
Compiler

Compiled 185 to 103 computations (44.3% saved)

regimes10.0ms (0.2%)

Memory
-16.7MiB live, 30.0MiB allocated
Accuracy

Total -15.8b remaining (-6146.8%)

Threshold costs -15.8b (-6146.8%)

Counts
9 → 1
Calls
Call 1
Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))))
(log.f32 (+.f32 x (*.f32 (pow.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))))))
(log.f32 (+.f32 x (*.f32 (*.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
Outputs
(acosh.f32 x)
Calls

3 calls:

4.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms
x
Results
AccuracySegmentsBranch
99.2%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
99.2%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.2%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify10.0ms (0.2%)

Memory
32.1MiB live, 32.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
saturated
Calls
Call 1
Inputs
(acosh.f32 x)
Outputs
(acosh.f32 x)

derivations96.0ms (2.1%)

Memory
-24.0MiB live, 123.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01215
15315
236913
0455612
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess43.0ms (0.9%)

Memory
17.9MiB live, 64.0MiB allocated
Compiler

Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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