Hyperbolic arc-cosine

Time bar (total: 15.5s)

analyze68.0ms (0.4%)

Memory
-27.5MiB live, 171.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample2.3s (14.6%)

Memory
-113.3MiB live, 2 457.2MiB allocated
Samples
860.0ms7 115×1invalid
486.0ms8 256×0valid
63.0ms1 166×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-log: 212.0ms (21% of total)
ival-mult: 208.0ms (20.6% of total)
ival-sqrt: 189.0ms (18.7% of total)
ival-sub: 128.0ms (12.7% of total)
ival-add: 122.0ms (12.1% of total)
adjust: 118.0ms (11.7% of total)
exact: 14.0ms (1.4% of total)
ival-true: 13.0ms (1.3% of total)
ival-assert: 6.0ms (0.6% of total)
Bogosity

preprocess737.0ms (4.8%)

Memory
21.7MiB live, 816.6MiB allocated
Algorithm
1×egg-herbie
Rules
29 894×lower-fma.f64
29 894×lower-fma.f32
4 210×lower-*.f32
4 208×lower-*.f64
2 884×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12719
25919
313019
429519
557919
6108819
7167719
8302119
9411819
10505919
11548719
12572719
13579919
14588319
15647519
16756519
17762119
18771919
19775319
20776919
079
0129
1219
2259
3409
4719
51329
62929
75729
820459
931559
1044339
1151069
1254089
1355939
1456959
1560149
1665609
1776719
080918
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

explain205.0ms (1.3%)

Memory
5.1MiB live, 122.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue1370
↳(-.f64 (*.f64 x x) #s(literal 1 binary64))overflow137
↳(*.f64 x x)overflow137
Confusion
Predicted +Predicted -
+1370
-0119
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-00119
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 30.0ms (66.1% of total)
ival-log: 6.0ms (13.2% of total)
ival-sqrt: 4.0ms (8.8% of total)
ival-sub: 2.0ms (4.4% of total)
ival-add: 2.0ms (4.4% 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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.2%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify654.0ms (4.2%)

Memory
-10.2MiB live, 812.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓cost-diff128
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
29 894×lower-fma.f64
29 894×lower-fma.f32
4 210×lower-*.f32
4 208×lower-*.f64
2 884×lower-+.f32
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
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize30.0ms (0.2%)

Memory
26.0MiB live, 61.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓accuracy100.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓accuracy50.1%
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (30.8% of total)
ival-mult: 2.0ms (20.5% of total)
ival-sqrt: 2.0ms (20.5% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% 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
11.0MiB live, 11.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))>
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)

rewrite368.0ms (2.4%)

Memory
-43.3MiB live, 446.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 994×lower-fma.f64
4 994×lower-fma.f32
3 230×lower-*.f32
3 228×lower-*.f64
2 612×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
14928
232228
3362628
0864624
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 320
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

simplify371.0ms (2.4%)

Memory
-5.3MiB live, 582.4MiB allocated
Algorithm
1×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
1×iter limit
1×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 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 x (fma.f64 x (*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 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))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -1/2 binary64))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 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))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (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.f64 x (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 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))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x))

eval113.0ms (0.7%)

Memory
-17.1MiB live, 100.7MiB allocated
Compiler

Compiled 10 594 to 1 532 computations (85.5% saved)

prune56.0ms (0.4%)

Memory
31.3MiB live, 108.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3634367
Fresh000
Picked101
Done000
Total3644368
Accuracy
100.0%
Counts
368 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶2.3%
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
▶99.4%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
▶48.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶99.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify430.0ms (2.8%)

Memory
-4.6MiB live, 715.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
✓cost-diff192
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff320
(*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓cost-diff896
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓cost-diff0
(fma.f64 x x #s(literal -1 binary64))
✓cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
✓cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓cost-diff0
(log.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff128
(*.f64 x #s(literal 2 binary64))
Rules
17 878×lower-fma.f32
17 872×lower-fma.f64
3 966×lower--.f32
3 960×lower--.f64
3 172×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024194
043210
181210
2202160
3740160
44141160
08446153
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
x
#s(literal 2 binary64)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
Outputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
x
#s(literal 2 binary64)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (log.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))

localize195.0ms (1.3%)

Memory
22.5MiB live, 371.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy49.9%
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
✓accuracy48.2%
(log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓accuracy7.0%
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
✓accuracy3.3%
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
✓accuracy100.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓accuracy50.1%
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Samples
152.0ms250×1valid
1.0ms6×0valid
Compiler

Compiled 226 to 26 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-log: 40.0ms (31.3% of total)
ival-sub: 37.0ms (29% of total)
adjust: 22.0ms (17.2% of total)
ival-add: 11.0ms (8.6% of total)
ival-mult: 10.0ms (7.8% of total)
ival-sqrt: 6.0ms (4.7% of total)
ival-div: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory
-0.6MiB live, 113.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))>
#<alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)>
#<alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))>
#<alt (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))>
#<alt (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))>
#<alt (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))>
#<alt (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))>
#<alt (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))>
Outputs
#<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 (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 -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 (/ -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>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (- (* 2 (pow x 2)) 1)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 2 (/ 1 (pow x 2))))>
#<alt (- (log -1) (log (sqrt -1)))>
#<alt (- (+ (log -1) (/ x (sqrt -1))) (log (sqrt -1)))>
#<alt (- (+ (log -1) (* x (+ (* -1 (* x (+ 2 (* 1/2 (- (* 2 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1))))) (log (sqrt -1)))>
#<alt (- (+ (log -1) (* x (+ (* x (- (* -1/6 (* x (- (+ (* 6 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 2))) (* 12 (/ 1 (sqrt -1)))) (* 2 (/ 1 (pow (sqrt -1) 3)))))) (+ 2 (* 1/2 (- (* 2 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1))))) (log (sqrt -1)))>
#<alt (- (+ (log 2) (* -2 (log (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -2 (log (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (* -2 (log (/ -1 x)))) (+ (log -4) (* -3 (log (/ -1 x)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log -4) (* -3 (log (/ -1 x)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log -4) (* -3 (log (/ -1 x)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log -4) (* -3 (log (/ -1 x)))))>
#<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) (* -2 (pow x 2)))>
#<alt (+ (log -1) (* (pow x 2) (- (* -2 (pow x 2)) 2)))>
#<alt (+ (log -1) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2)))>
#<alt (+ (log 2) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -2 (log (/ 1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log 2) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 x))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) 1)))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 x)))) 1)))>
#<alt x>
#<alt (* x (- 1 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1/64 (pow x 6))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (+ (/ 1/64 (pow x 6)) (* 1/64 (/ 1 (pow x 8))))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) 4)))>
#<alt (* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (+ 4 (/ 1/4 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* 3 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8)))) (+ 4 (/ 1/4 (pow x 4))))))>
Calls

48 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log (* x 2))
21.0ms
x
@-inf
(log (* x 2))
6.0ms
x
@inf
(log (* x 2))
1.0ms
x
@0
(- (log (* (+ (* x x) (+ (* x x) -1)) (+ (* x x) (- 1 (* x x))))) (log (* (- x (sqrt (+ (* x x) -1))) (+ (* x x) (+ (* x x) -1)))))
1.0ms
x
@inf
(- (log (* (+ (* x x) (+ (* x x) -1)) (+ (* x x) (- 1 (* x x))))) (log (* (- x (sqrt (+ (* x x) -1))) (+ (* x x) (+ (* x x) -1)))))

rewrite604.0ms (3.9%)

Memory
-13.0MiB live, 802.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 962×lower-fma.f32
4 954×lower-fma.f64
4 900×lower-/.f32
4 898×lower-/.f64
4 608×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024151
043125
1186113
21795113
09224111
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 065
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))))
(+.f64 (log.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(+.f64 (log1p.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(+.f64 (neg.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (log1p.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))))
(-.f64 (log.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))) (/.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (pow.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) (log.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))

simplify534.0ms (3.4%)

Memory
8.0MiB live, 790.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 320×lower-fma.f64
11 320×lower-fma.f32
5 526×lower-*.f64
5 526×lower-*.f32
5 154×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03702020
110371937
230001900
082821821
Stop Event
1×iter limit
1×node limit
Counts
192 → 190
Calls
Call 1
Inputs
(* 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 (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 -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)
(/ -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
1
1
1
1
1
1
1
1
1
1
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
-1
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(* (pow x 2) (- 2 (/ 1 (pow x 2))))
(- (log -1) (log (sqrt -1)))
(- (+ (log -1) (/ x (sqrt -1))) (log (sqrt -1)))
(- (+ (log -1) (* x (+ (* -1 (* x (+ 2 (* 1/2 (- (* 2 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1))))) (log (sqrt -1)))
(- (+ (log -1) (* x (+ (* x (- (* -1/6 (* x (- (+ (* 6 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 2))) (* 12 (/ 1 (sqrt -1)))) (* 2 (/ 1 (pow (sqrt -1) 3)))))) (+ 2 (* 1/2 (- (* 2 (/ (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (/ 1 (pow (sqrt -1) 2))))))) (/ 1 (sqrt -1))))) (log (sqrt -1)))
(- (+ (log 2) (* -2 (log (/ 1 x)))) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -2 (log (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -1 (log (/ 1 x))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (* -2 (log (/ -1 x)))) (+ (log -4) (* -3 (log (/ -1 x)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log -4) (* -3 (log (/ -1 x)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log -4) (* -3 (log (/ -1 x)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log -4) (* -3 (log (/ -1 x)))))
(* -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) (* -2 (pow x 2)))
(+ (log -1) (* (pow x 2) (- (* -2 (pow x 2)) 2)))
(+ (log -1) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2)))
(+ (log 2) (* -2 (log (/ 1 x))))
(- (+ (log 2) (* -2 (log (/ 1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 2) (* -2 (log (/ -1 x))))
(- (+ (log 2) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(sqrt -1)
(+ (sqrt -1) (* -1 x))
(+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) 1)))
(+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 x)))) 1)))
x
(* x (- 1 (* 1/4 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1/64 (pow x 6))) (* 1/4 (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (/ 1/64 (pow x 6)) (* 1/64 (/ 1 (pow x 8))))) (* 1/4 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) 4)))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (+ 4 (/ 1/4 (pow x 4))))))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8)))) (+ 4 (/ 1/4 (pow x 4))))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (*.f64 x (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (*.f64 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))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
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(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log -4) (* -3 (log (/ -1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -4 binary64)) (log.f64 #s(literal 2 binary64)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log -4) (* -3 (log (/ -1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -4 binary64)) (log.f64 #s(literal 2 binary64)))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(-.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 #s(literal -1 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -2 binary64))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* -2 (pow x 2)) 2)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -8/3 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64)))
(+ (log 2) (* -2 (log (/ 1 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -2 (log (/ 1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ (log 2) (* -2 (log (/ -1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 x))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (* 1/2 (/ 1 (sqrt -1))))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (- (* x (+ (* -2 (sqrt -1)) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 x)))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
x
(* x (- 1 (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 1/64 (pow x 6))) (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (+ (/ 1/64 (pow x 6)) (* 1/64 (/ 1 (pow x 8))))) (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(* 4 (pow x 3))
(*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) 4)))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 3 (/ 1 (pow x 2))) (+ 4 (/ 1/4 (pow x 4))))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8)))) (+ 4 (/ 1/4 (pow x 4))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (*.f64 x (*.f64 x x))))

eval5.9s (38.3%)

Memory
30.5MiB live, 445.6MiB allocated
Compiler

Compiled 94 654 to 5 961 computations (93.7% saved)

prune281.0ms (1.8%)

Memory
-1.1MiB live, 446.8MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1 58611 587
Fresh000
Picked134
Done000
Total1 58741 591
Accuracy
100.0%
Counts
1 591 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.7%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
✓99.4%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓48.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓99.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify879.0ms (5.7%)

Memory
7.3MiB live, 681.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
✓cost-diff0
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
✓cost-diff704
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
✓cost-diff896
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
Rules
31 724×lower-fma.f32
31 722×lower-fma.f64
4 120×lower-*.f32
4 118×lower-*.f64
1 760×lower-+.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01080
01873
13773
26052
312152
422352
554152
6160546
7362146
8546646
9635646
10687646
11699146
12700346
13701146
14778646
0810046
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x x)
Outputs
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)

localize107.0ms (0.7%)

Memory
-20.7MiB live, 102.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
✓accuracy50.1%
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓accuracy7.0%
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
✓accuracy4.4%
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
Samples
61.0ms250×1valid
0.0ms6×0valid
Compiler

Compiled 92 to 12 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sqrt: 21.0ms (46.3% of total)
adjust: 4.0ms (8.8% of total)
ival-sub: 4.0ms (8.8% of total)
ival-log: 4.0ms (8.8% of total)
ival-div: 3.0ms (6.6% of total)
ival-mult: 3.0ms (6.6% of total)
ival-add: 2.0ms (4.4% of total)
ival-neg: 2.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))>
#<alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))>
#<alt (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))>
#<alt (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))>
#<alt (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)>
#<alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))>
Outputs
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (* -1 (sqrt -1))>
#<alt (+ x (* -1 (sqrt -1)))>
#<alt (+ (* -1 (sqrt -1)) (* x (+ 1 (* -1/2 (/ x (sqrt -1))))))>
#<alt (+ (* -1 (sqrt -1)) (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 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 (* -1 (log (* -1 (sqrt -1))))>
#<alt (- (/ x (sqrt -1)) (log (* -1 (sqrt -1))))>
#<alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (* -1 (sqrt -1))))>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (* -1 (sqrt -1))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (* -1 (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 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 (+ (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 (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 x))>
#<alt (+ (sqrt -1) (* x (- (* 1/2 (/ x (sqrt -1))) 1)))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))) 1)))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 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

18 calls:

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

rewrite454.0ms (2.9%)

Memory
-48.7MiB live, 418.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 424×lower-fma.f32
10 422×lower-fma.f64
4 388×lower-*.f32
4 386×lower-*.f64
3 412×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01071
01871
18746
272436
0892036
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 439
Calls
Call 1
Inputs
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(literal -1 binary64)
(+.f64 x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x)
(+.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(+.f64 (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 x (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 x (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) x)
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(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

simplify425.0ms (2.7%)

Memory
7.3MiB live, 487.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 836×lower-fma.f64
9 836×lower-fma.f32
3 760×lower-*.f64
3 760×lower-*.f32
2 994×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209875
1594830
21701813
35424792
08114768
Stop Event
1×iter limit
1×node limit
Counts
72 → 71
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(* -1 (sqrt -1))
(+ x (* -1 (sqrt -1)))
(+ (* -1 (sqrt -1)) (* x (+ 1 (* -1/2 (/ x (sqrt -1))))))
(+ (* -1 (sqrt -1)) (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 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)))
(* -1 (log (* -1 (sqrt -1))))
(- (/ x (sqrt -1)) (log (* -1 (sqrt -1))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (* -1 (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 (* -1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(log (* -1 (sqrt -1)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (* -1 (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 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)))))))
(+ (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))))
(sqrt -1)
(+ (sqrt -1) (* -1 x))
(+ (sqrt -1) (* x (- (* 1/2 (/ x (sqrt -1))) 1)))
(+ (sqrt -1) (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))) 1)))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)
(* -2 x)
(* -1 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 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
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ x (* -1 (sqrt -1)))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* x (+ 1 (* -1/2 (/ x (sqrt -1))))))
(-.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(-.f64 (fma.f64 x (*.f64 x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) x) (sqrt.f64 #s(literal -1 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(*.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1 (log (* -1 (sqrt -1))))
(neg.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(- (/ x (sqrt -1)) (log (* -1 (sqrt -1))))
(-.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (* -1 (sqrt -1))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (* -1 (sqrt -1))))
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (log.f64 x) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (-.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64)))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -2 binary64))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -2 binary64)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (* -1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(+ (log (* -1 (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.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -3/40 binary64)) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 x))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))))
(+.f64 (/.f64 (-.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 x))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (- (* 1/2 (/ x (sqrt -1))) 1)))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))) 1)))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(* -1 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (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.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 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.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 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))))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

eval215.0ms (1.4%)

Memory
27.5MiB live, 101.3MiB allocated
Compiler

Compiled 16 608 to 2 149 computations (87.1% saved)

prune198.0ms (1.3%)

Memory
-27.8MiB live, 131.5MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New5100510
Fresh000
Picked011
Done033
Total5104514
Accuracy
100.0%
Counts
514 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓1.7%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
✓99.4%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓48.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓99.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 122 to 59 computations (51.6% saved)

regimes8.0ms (0%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))))
Outputs
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.4%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
Outputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

3 calls:

1.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
x
1.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.0%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
Outputs
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (*.f64 x #s(literal 2 binary64)))

soundness241.0ms (1.6%)

Memory
-41.9MiB live, 165.3MiB allocated
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
1×done
1×iter limit
1×node limit
Compiler

Compiled 25 to 18 computations (28% saved)

preprocess39.0ms (0.3%)

Memory
1.1MiB live, 40.1MiB allocated
Compiler

Compiled 44 to 30 computations (31.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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