Rust f32::acosh

Time bar (total: 10.1s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample539.0ms (5.3%)

Memory
-5.1MiB live, 702.7MiB allocated
Samples
287.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-acosh: 111.0ms (75.9% of total)
ival->=: 24.0ms (16.4% of total)
exact: 7.0ms (4.8% of total)
ival-assert: 4.0ms (2.7% of total)
Bogosity

preprocess745.0ms (7.4%)

Memory
-25.4MiB live, 903.9MiB allocated
Algorithm
egg-herbie
Rules
29 894×lower-fma.f64
29 894×lower-fma.f32
4 210×lower-*.f64
4 208×lower-*.f32
2 884×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
079
0129
1219
2259
3409
4719
51329
62929
75729
820459
931559
1044339
1151069
1254089
1355939
1456959
1560149
1665609
1776719
080918
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 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

explain124.0ms (1.2%)

Memory
16.9MiB live, 250.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
10-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-#s(literal 1 binary32)
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1260
(*.f32 x x)overflow126
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow126
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(*.f32 x x)overflow126
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow126
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-00130
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0130
1125
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 5.0ms (26.9% of total)
ival-mult: 4.0ms (21.5% of total)
ival-sqrt: 4.0ms (21.5% of total)
ival-sub: 3.0ms (16.1% of total)
ival-add: 2.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify577.0ms (5.7%)

Memory
8.1MiB live, 1 039.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff0
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff0
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff64
(-.f32 (*.f32 x x) #s(literal 1 binary32))
Rules
29 894×lower-fma.f64
29 894×lower-fma.f32
4 210×lower-*.f64
4 208×lower-*.f32
2 884×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12133
22533
34033
47133
513233
629233
757233
8204533
9315533
10443333
11510633
12540833
13559333
14569533
15601433
16656033
17767133
0809129
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 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
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)

localize51.0ms (0.5%)

Memory
10.7MiB live, 49.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy100.0%
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy99.6%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy57.4%
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Samples
43.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (32.5% of total)
ival-mult: 2.0ms (21.7% of total)
ival-sqrt: 2.0ms (21.7% of total)
ival-sub: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f32 (*.f32 x x) #s(literal 1 binary32))>
#<alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))>
#<alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))>
Outputs
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (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)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (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))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
Calls

12 calls:

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

rewrite593.0ms (5.9%)

Memory
14.7MiB live, 443.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 994×lower-fma.f64
4 994×lower-fma.f32
3 230×lower-*.f64
3 228×lower-*.f32
2 612×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
14928
232228
3362628
0864624
Stop Event
iter limit
node limit
iter limit
Counts
4 → 320
Calls
Call 1
Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
Outputs
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) x) (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) x) (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) x))
(+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32))))
(+.f32 (*.f32 x (+.f32 x #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32)))
(fabs.f32 (fma.f32 x x #s(literal -1 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #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 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 x 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 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(fma.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(fma.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (+.f32 x #s(literal 1 binary32)) x (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (+.f32 x #s(literal -1 binary32)) x (*.f32 (+.f32 x #s(literal -1 binary32)) #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)) (/.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
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(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (*.f32 x (*.f32 x (*.f32 x x))))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

simplify345.0ms (3.4%)

Memory
2.1MiB live, 464.6MiB allocated
Algorithm
egg-herbie
Rules
10 204×lower-fma.f64
10 204×lower-fma.f32
3 650×lower-*.f64
3 650×lower-*.f32
2 854×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150559
1411533
21143526
33327488
47966488
08526459
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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)))))
(+ (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))))
(+ (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)))))))
(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)
(* 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)))))
(/ 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))
(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))))))
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)))))
(* -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))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal -1 binary32))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(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 (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 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.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 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 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 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (neg.f32 (log.f32 (neg.f32 x))) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (/.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 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (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 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 x #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal -1/2 binary32) x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x x))) 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 #s(literal 1/8 binary32) (*.f32 x x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -5/128 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #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 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x 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 -1/2 binary32) x) (fma.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) x))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))

eval342.0ms (3.4%)

Memory
-135.4MiB live, 72.9MiB allocated
Compiler

Compiled 10 594 to 1 536 computations (85.5% saved)

prune57.0ms (0.6%)

Memory
21.6MiB live, 144.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3616367
Fresh000
Picked101
Done000
Total3626368
Accuracy
100.0%
Counts
368 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.6%
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
53.9%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
99.3%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
98.4%
(log.f32 (*.f32 x #s(literal 2 binary32)))
Compiler

Compiled 146 to 84 computations (42.5% saved)

simplify742.0ms (7.3%)

Memory
3.3MiB live, 842.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 x)
cost-diff0
(log.f32 #s(literal 2 binary32))
cost-diff0
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
cost-diff0
(fma.f32 x x #s(literal -1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff0
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff0
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff0
(log.f32 (*.f32 x #s(literal 2 binary32)))
cost-diff64
(*.f32 x #s(literal 2 binary32))
cost-diff0
(+.f32 x #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
cost-diff0
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
cost-diff0
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
Rules
24 356×lower-fma.f64
24 352×lower-fma.f32
3 922×lower-*.f64
3 920×lower-*.f32
2 782×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024109
045109
161109
266109
382109
4111109
5172109
6339109
7622109
82254109
93444109
104819109
115622109
126059109
136252109
146359109
156687109
167077109
177982109
08011107
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
(+.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
x
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 x)
x
Outputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
(+.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (*.f32 x #s(literal 2 binary32)))
(log.f32 (+.f32 x x))
(*.f32 x #s(literal 2 binary32))
(+.f32 x x)
x
#s(literal 2 binary32)
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
x
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(log.f32 x)
x

localize152.0ms (1.5%)

Memory
-4.5MiB live, 152.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f32 x)
accuracy100.0%
(log.f32 #s(literal 2 binary32))
accuracy99.1%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy100.0%
(fma.f32 x x #s(literal -1 binary32))
accuracy100.0%
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy99.6%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy57.4%
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy99.9%
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy99.6%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy100.0%
(*.f32 x #s(literal 2 binary32))
accuracy99.6%
(log.f32 (*.f32 x #s(literal 2 binary32)))
accuracy100.0%
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
accuracy100.0%
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
accuracy99.8%
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
accuracy99.6%
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
Samples
124.0ms256×0valid
Compiler

Compiled 117 to 28 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-add: 76.0ms (67.2% of total)
ival-log: 25.0ms (22.1% of total)
ival-sqrt: 5.0ms (4.4% of total)
ival-mult: 4.0ms (3.5% of total)
ival-div: 2.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series354.0ms (3.5%)

Memory
4.0MiB live, 191.6MiB allocated
Counts
18 → 204
Calls
Call 1
Inputs
#<alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))>
#<alt (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)>
#<alt (sqrt.f32 (+.f32 x #s(literal 1 binary32)))>
#<alt (+.f32 x #s(literal 1 binary32))>
#<alt (*.f32 x #s(literal 2 binary32))>
#<alt (log.f32 (*.f32 x #s(literal 2 binary32)))>
#<alt (log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))>
#<alt (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))>
#<alt (+.f32 x (/.f32 #s(literal -1/2 binary32) x))>
#<alt (/.f32 #s(literal -1/2 binary32) x)>
#<alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))>
#<alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)>
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))>
#<alt (fma.f32 x x #s(literal -1 binary32))>
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))>
#<alt (log.f32 #s(literal 2 binary32))>
#<alt (log.f32 x)>
#<alt (sqrt.f32 (+.f32 x #s(literal -1 binary32)))>
Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (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)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (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))))))>
#<alt (+ (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)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))>
#<alt (* -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))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (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)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (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))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
Calls

51 calls:

TimeVariablePointExpression
89.0ms
x
@-inf
(+ (log 2) (log x))
68.0ms
x
@inf
(+ (log 2) (log x))
58.0ms
x
@inf
(log (* x 2))
49.0ms
x
@-inf
(+ x (/ -1/2 x))
43.0ms
x
@0
(log (* x 2))

rewrite616.0ms (6.1%)

Memory
12.3MiB live, 565.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 566×lower-fma.f64
7 562×lower-fma.f32
3 810×lower-/.f64
3 808×lower-/.f32
3 504×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02495
04592
115880
2122580
0865080
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 010
Calls
Call 1
Inputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 #s(literal 2 binary32))
(log.f32 x)
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
Outputs
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
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(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 x) (log.f32 (/.f32 x #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))))
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (log.f32 x) (log.f32 (/.f32 x #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))))
(*.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) x))))
(*.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)))))
(*.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32)))))
(log.f32 (+.f32 x x))
(log.f32 #s(literal 2 binary32))
(+.f32 (log.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(log.f32 x)
(exp.f32 (*.f32 (log.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (neg.f32 x) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal -1 binary32) x)))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 x #s(literal 1 binary32))))))
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 x #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (+.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)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))

simplify530.0ms (5.2%)

Memory
-34.7MiB live, 1 099.4MiB allocated
Algorithm
egg-herbie
Rules
22 318×lower-fma.f64
22 318×lower-fma.f32
5 440×lower-*.f64
5 440×lower-*.f32
4 686×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03792272
110541922
233031899
082841811
Stop Event
iter limit
node limit
Counts
204 → 199
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)))))
(+ (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))))
(+ (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)))))))
(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)
(* 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)))))
(* -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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(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))))))))
(* -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
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(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)))))
(+ (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))))
(+ (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)))))))
(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)
(* 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)))))
(/ 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))
(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))))))
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)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(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)) (+ (* -1/2 (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))) (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)))))))
Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 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 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (*.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 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
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(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (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))))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(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 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (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 x (fma.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x x))) (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 #s(literal 1/16 binary32) (/.f32 #s(literal 5/128 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 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 x (*.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (/.f32 (*.f32 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)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(neg.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x))
(* -1 (* 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 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (neg.f32 x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (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 x (fma.f32 x (fma.f32 x (/.f32 #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)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (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) (*.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))

eval138.0ms (1.4%)

Memory
17.8MiB live, 202.6MiB allocated
Compiler

Compiled 25 775 to 2 968 computations (88.5% saved)

prune150.0ms (1.5%)

Memory
8.5MiB live, 262.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 20721 209
Fresh011
Picked145
Done000
Total1 20871 215
Accuracy
100.0%
Counts
1 215 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.6%
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
53.9%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
44.2%
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
99.3%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
98.4%
(log.f32 (+.f32 x x))
Compiler

Compiled 80 to 46 computations (42.5% saved)

simplify391.0ms (3.9%)

Memory
5.0MiB live, 543.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff0
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
cost-diff0
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
cost-diff96
(fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
cost-diff0
(/.f32 #s(literal -1/2 binary32) x)
cost-diff0
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff0
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff0
(+.f32 x x)
cost-diff0
(log.f32 (+.f32 x x))
Rules
15 104×lower-fma.f64
15 098×lower-fma.f32
3 610×lower-*.f64
3 606×lower-*.f32
2 628×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018144
035141
156141
293141
3194141
4521141
51269141
62943141
75072141
86812141
97612141
08063135
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x x))
(+.f32 x x)
x
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
x
(*.f32 x x)
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
Outputs
(log.f32 (+.f32 x x))
(+.f32 x x)
x
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(-.f32 (log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (*.f32 x x))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (*.f32 x x)))
x
(*.f32 x x)
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.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))
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))

localize142.0ms (1.4%)

Memory
-6.9MiB live, 159.3MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy57.4%
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy54.0%
(log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
accuracy39.0%
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
accuracy14.6%
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy100.0%
(/.f32 #s(literal -1/2 binary32) x)
accuracy100.0%
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy100.0%
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy100.0%
(+.f32 x x)
accuracy99.6%
(log.f32 (+.f32 x x))
Samples
58.0ms205×1valid
58.0ms51×0valid
Compiler

Compiled 169 to 22 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 37.0ms (46.9% of total)
ival-log: 13.0ms (16.5% of total)
adjust: 10.0ms (12.7% of total)
ival-mult: 8.0ms (10.1% of total)
ival-sub: 4.0ms (5.1% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
18.1MiB live, 56.5MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (log.f32 (+.f32 x x))>
#<alt (+.f32 x x)>
#<alt (log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))>
#<alt (+.f32 x (/.f32 #s(literal -1/2 binary32) x))>
#<alt (/.f32 #s(literal -1/2 binary32) x)>
#<alt (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))>
#<alt (-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))>
#<alt (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))>
#<alt (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))>
#<alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))>
#<alt (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))>
Outputs
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt -1>
#<alt (- (* -1 (* x (sqrt -1))) 1)>
#<alt (- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)>
#<alt (- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (- (log (sqrt -1)) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))>
#<alt (+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))>
#<alt (+ (log 2) (* -3 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -3/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))>
#<alt (* -1 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (log -1)>
#<alt (+ (log -1) (* x (sqrt -1)))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (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))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
Calls

36 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(log (+ x x))
7.0ms
x
@inf
(log (+ x x))
1.0ms
x
@-inf
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))
1.0ms
x
@inf
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))
1.0ms
x
@0
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))

rewrite86.0ms (0.9%)

Memory
-1.7MiB live, 116.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
846×lower-fma.f64
840×lower-fma.f32
606×lower-*.f64
602×lower-*.f32
470×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018122
035118
1142106
01187103
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 144
Calls
Call 1
Inputs
(log.f32 (+.f32 x x))
(+.f32 x x)
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
Outputs
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(-.f32 (log.f32 (*.f32 (*.f32 x x) (+.f32 x x))) (log.f32 (fma.f32 x x #s(literal 0 binary32))))
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(log.f32 (+.f32 x x))
(+.f32 x x)
(-.f32 (/.f32 (*.f32 x x) #s(literal 0 binary32)) (/.f32 (*.f32 x x) #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 (*.f32 x x) (+.f32 x x))))
(/.f32 (*.f32 (*.f32 x x) (+.f32 x x)) (fma.f32 x x #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 x x) (+.f32 x x))) (neg.f32 (fma.f32 x x #s(literal 0 binary32))))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(*.f32 (*.f32 (*.f32 x x) (+.f32 x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)))
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (log.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (log.f32 (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) x)
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 x)) x)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x)) (fma.f32 x (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 #s(literal -1/2 binary32) x)) (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/.f32 (fma.f32 x (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x)))
(/.f32 (fma.f32 x (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (*.f32 x x) (/.f32 x (*.f32 x #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 x x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(/.f32 (neg.f32 (fma.f32 x (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x x))))) (neg.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x))))
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(/.f32 (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (neg.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (fma.f32 x (*.f32 x x) (pow.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (-.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (fma.f32 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 x (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))))
(-.f32 (log.f32 (*.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal -1 binary32)))))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))

simplify401.0ms (4%)

Memory
18.1MiB live, 682.9MiB allocated
Algorithm
egg-herbie
Rules
10 790×lower-fma.f64
10 790×lower-fma.f32
7 038×lower-+.f64
7 038×lower-+.f32
3 358×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04011732
111571571
235161527
081051465
Stop Event
iter limit
node limit
Counts
144 → 141
Calls
Call 1
Inputs
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(- (log (sqrt -1)) (log -1))
(- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(+ (log -3/2) (* -1 (log (/ -1 x))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(* 2 (pow x 3))
(* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(* 3/2 x)
(* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))
(* -1 (sqrt -1))
(- x (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 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(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))))))
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)))))
(* -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
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(fma.f32 x (*.f32 x #s(literal -2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(fma.f32 x (*.f32 x (fma.f32 #s(literal -2 binary32) (*.f32 x x) #s(literal -2 binary32))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal -8/3 binary32) #s(literal -2 binary32))) #s(literal -2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
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(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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 x x) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 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)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(neg.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) 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 x (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x))

eval69.0ms (0.7%)

Memory
-13.0MiB live, 63.2MiB allocated
Compiler

Compiled 9 848 to 1 064 computations (89.2% saved)

prune142.0ms (1.4%)

Memory
-0.3MiB live, 78.4MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3022304
Fresh000
Picked213
Done044
Total3047311
Accuracy
100.0%
Counts
311 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.6%
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
53.9%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
99.3%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
98.4%
(log.f32 (+.f32 x x))
44.3%
(log.f32 x)
Compiler

Compiled 75 to 44 computations (41.3% saved)

simplify914.0ms (9%)

Memory
-21.4MiB live, 530.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x x)
cost-diff0
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff0
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
cost-diff0
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
cost-diff0
(log.f32 x)
Rules
17 498×lower-fma.f64
17 492×lower-fma.f32
2 410×lower-+.f64
2 408×lower-+.f32
2 330×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014129
028126
151126
294126
3206126
4530126
51437126
64254126
77041126
08032123
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f32 x)
x
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
x
(*.f32 x x)
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))
(fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
Outputs
(log.f32 x)
x
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
x
(*.f32 x x)
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
#s(literal -1 binary32)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))
(log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))
(fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))

localize115.0ms (1.1%)

Memory
17.0MiB live, 93.3MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy57.4%
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy54.0%
(log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))
accuracy39.0%
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
accuracy14.6%
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy100.0%
(log.f32 x)
Samples
87.0ms201×1valid
7.0ms55×0valid
Compiler

Compiled 152 to 18 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-log: 49.0ms (60.2% of total)
adjust: 8.0ms (9.8% of total)
ival-add: 8.0ms (9.8% of total)
ival-mult: 8.0ms (9.8% of total)
ival-sub: 4.0ms (4.9% of total)
ival-sqrt: 3.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (log.f32 x)>
#<alt (-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))>
#<alt (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))>
#<alt (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))>
#<alt (*.f32 x x)>
#<alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))>
#<alt (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))>
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))>
Outputs
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (log (sqrt -1)) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))>
#<alt (- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))>
#<alt (+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))>
#<alt (+ (log 2) (* -3 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -3/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (sqrt -1))>
#<alt (- x (sqrt -1))>
#<alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (log -1)>
#<alt (+ (log -1) (* x (sqrt -1)))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))>
#<alt (+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (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))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (+ (- x (sqrt (+ (* x x) -1))) x)) -1)))
0.0ms
x
@-inf
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (+ (- x (sqrt (+ (* x x) -1))) x)) -1)))
0.0ms
x
@0
(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (+ (- x (sqrt (+ (* x x) -1))) x)) -1)))
0.0ms
x
@inf
(log (+ (* x (+ (- x (sqrt (+ (* x x) -1))) x)) -1))
0.0ms
x
@0
(* x x)

rewrite397.0ms (3.9%)

Memory
-16.3MiB live, 614.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 220×lower-fma.f64
7 214×lower-fma.f32
4 072×lower-*.f64
4 068×lower-*.f32
3 686×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491
02887
112275
2100475
0837875
Stop Event
iter limit
node limit
iter limit
Counts
8 → 237
Calls
Call 1
Inputs
(log.f32 x)
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
(log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 x x)
(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
Outputs
(log.f32 x)
(neg.f32 (log.f32 (/.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (neg.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))))
(+.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (neg.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))))
(+.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32)) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32))))))
(+.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (neg.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32)))) (log.f32 (fma.f32 x (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 x))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32)))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))))
(fma.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32)) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32))))))
(fma.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (neg.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))))))
(-.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))
(-.f32 (log.f32 (fma.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)))))) (log.f32 (*.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)))))))
(-.f32 (log.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x))) (*.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)))))) (log.f32 (*.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x x) (neg.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))))))
(-.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 3 binary32)) (fma.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))) (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (log.f32 (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))))) (log1p.f32 (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))))))
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(/.f32 (-.f32 (*.f32 (log.f32 (fma.f32 x (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32))) (log.f32 (fma.f32 x (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32)))) (*.f32 (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))))) (+.f32 (log.f32 (fma.f32 x (*.f32 (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32))) (log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))))
(log.f32 (fma.f32 x (-.f32 (+.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (neg.f32 (*.f32 x x))))))
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x))))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

simplify429.0ms (4.2%)

Memory
11.0MiB live, 806.0MiB allocated
Algorithm
egg-herbie
Rules
13 716×lower-fma.f64
13 716×lower-fma.f32
5 694×lower-+.f64
5 694×lower-+.f32
5 288×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311268
19461130
229141086
084491041
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (log (sqrt -1)) (log -1))
(- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(+ (log -3/2) (* -1 (log (/ -1 x))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(* 2 (pow x 3))
(* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(* 3/2 x)
(* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (sqrt -1))
(- x (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 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(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))))))
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)))))
(* -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
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (log (sqrt -1)) (log -1))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))))
(- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(fma.f32 x (fma.f32 x (fma.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 10 binary32) (/.f32 #s(literal 3 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal -1/6 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) (-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (*.f32 x x))) (*.f32 x x))) (log.f32 x))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal -3/2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal 3 binary32)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal -3/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal 3 binary32))))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (+.f32 (log.f32 #s(literal -3/2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal 3 binary32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (+.f32 (log.f32 #s(literal -3/2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32) (neg.f32 (log.f32 #s(literal 3 binary32))))) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))
(fma.f32 x (*.f32 x #s(literal -3/2 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))
(fma.f32 (*.f32 x x) (+.f32 #s(literal -3/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))
(fma.f32 (*.f32 x x) (fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -27 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 3/8 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -3/2 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f32 (log.f32 x) #s(literal 3 binary32) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (log.f32 x) #s(literal 3 binary32) (/.f32 #s(literal -3/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (fma.f32 (log.f32 x) #s(literal 3 binary32) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 3/4 binary32)) (*.f32 x x)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (fma.f32 (log.f32 x) #s(literal 3 binary32) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 x x)) (/.f32 #s(literal -3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(+ (log -3/2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 7/96 binary32) (*.f32 x x))) (*.f32 x x)))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 (+.f32 #s(literal 7/96 binary32) (/.f32 #s(literal 1/32 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 3/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 x (*.f32 x (+.f32 x (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 x x) (fma.f32 x (fma.f32 #s(literal -3/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(* 2 (pow x 3))
(*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x)))
(* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 x (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -3/2 binary32) (*.f32 x x))))))
(* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -3/2 binary32) (*.f32 x x)))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(*.f32 x (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -3/2 binary32) (*.f32 x x)))))))
(* 3/2 x)
(*.f32 x #s(literal 3/2 binary32))
(* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))
(neg.f32 (*.f32 x (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 x x)))))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))
(*.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -3/2 binary32))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))
(*.f32 (+.f32 #s(literal -3/2 binary32) (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 3/128 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (neg.f32 x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* -1 (sqrt -1))
(neg.f32 (sqrt.f32 #s(literal -1 binary32)))
(- x (sqrt -1))
(-.f32 x (sqrt.f32 #s(literal -1 binary32)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (-.f32 x (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32))))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* x (sqrt -1)))
(fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f32 x (fma.f32 x #s(literal -3/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f32 x (fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 10 binary32)) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -3/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(* -2 (log (/ 1 x)))
(*.f32 (log.f32 x) #s(literal 2 binary32))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f32 (log.f32 x) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 6 binary32))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (fma.f32 (log.f32 x) #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 5/64 binary32) (pow.f32 x #s(literal 8 binary32)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 x x))) (*.f32 x x)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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 x (*.f32 x (fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.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)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 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 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)) (neg.f32 x) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 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))))))
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (neg.f32 x))

eval47.0ms (0.5%)

Memory
-1.1MiB live, 128.5MiB allocated
Compiler

Compiled 21 577 to 1 717 computations (92% saved)

prune56.0ms (0.6%)

Memory
13.0MiB live, 168.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3710371
Fresh000
Picked022
Done055
Total3717378
Accuracy
100.0%
Counts
378 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.1%
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
97.9%
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
99.6%
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
53.9%
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
99.3%
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
98.4%
(log.f32 (+.f32 x x))
44.3%
(log.f32 x)
Compiler

Compiled 194 to 87 computations (55.2% saved)

regimes13.0ms (0.1%)

Memory
3.2MiB live, 40.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))))
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
Outputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
Calls

3 calls:

5.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms
x
4.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.6%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-10.3MiB live, 27.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
Calls

3 calls:

4.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms
x
3.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(log.f32 x)
(log.f32 (+.f32 x x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(log.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
Outputs
(log.f32 (+.f32 x x))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
98.4%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-21.3MiB live, 17.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f32 x)
Outputs
(log.f32 x)
Calls

3 calls:

6.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
1.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms
x
Results
AccuracySegmentsBranch
44.3%1x
44.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
44.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory
-7.9MiB live, 25.6MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary32
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01725
12425
Stop Event
saturated
Calls
Call 1
Inputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x x))
(log.f32 x)
Outputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x x))
(log.f32 x)

soundness747.0ms (7.4%)

Memory
16.0MiB live, 632.1MiB allocated
Rules
22 318×lower-fma.f64
22 318×lower-fma.f32
10 790×lower-fma.f64
10 790×lower-fma.f32
10 204×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150559
1411533
21143526
33327488
47966488
08526459
0728
01228
14928
232228
3362628
0864624
03792272
110541922
233031899
082841811
04011732
111571571
235161527
081051465
02495
04592
115880
2122580
0865080
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 76 to 52 computations (31.6% saved)

preprocess52.0ms (0.5%)

Memory
-3.1MiB live, 112.5MiB allocated
Compiler

Compiled 98 to 66 computations (32.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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