logq (problem 3.4.3)

Time bar (total: 6.8s)

analyze4.0ms (0.1%)

Memory
-34.5MiB live, 4.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.8%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (39.3%)

Memory
68.4MiB live, 2 904.8MiB allocated
Samples
1.3s3 140×2valid
976.0ms4 817×1valid
18.0ms291×0valid
4.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-log: 1.2s (61.1% of total)
ival-div: 178.0ms (9.4% of total)
adjust: 171.0ms (9% of total)
ival-sub: 141.0ms (7.5% of total)
ival-add: 117.0ms (6.2% of total)
ival-fabs: 55.0ms (2.9% of total)
ival-<: 51.0ms (2.7% of total)
exact: 14.0ms (0.7% of total)
ival-assert: 8.0ms (0.4% of total)
Bogosity

preprocess54.0ms (0.8%)

Memory
-16.4MiB live, 28.2MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
84×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
12217
24417
38917
415817
532617
659317
761617
068
0108
1188
2248
3358
4588
5928
61298
72028
83228
94928
105288
05288
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

explain202.0ms (3%)

Memory
-5.5MiB live, 231.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-eps
00-0-#s(literal 1 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
00-0-(-.f64 #s(literal 1 binary64) eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))sensitivity2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms182×2valid
64.0ms318×1valid
1.0ms4valid
1.0ms10×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-log: 72.0ms (60.9% of total)
ival-add: 15.0ms (12.7% of total)
adjust: 10.0ms (8.5% of total)
ival-sub: 10.0ms (8.5% of total)
ival-div: 9.0ms (7.6% of total)
exact: 1.0ms (0.8% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify16.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) eps)
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
78×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
11823
22423
33523
45823
59223
612923
720223
832223
949223
1052823
052823
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)
Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

localize77.0ms (1.1%)

Memory
-7.9MiB live, 73.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(+.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
37.0ms91×2valid
25.0ms159×1valid
1.0ms4valid
0.0ms0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 32.0ms (62.7% of total)
adjust: 7.0ms (13.7% of total)
ival-div: 4.0ms (7.8% of total)
ival-sub: 4.0ms (7.8% of total)
ival-add: 3.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (+.f64 #s(literal 1 binary64) eps)>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- (* 2 eps) 2)))>
#<alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))>
#<alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
0.0ms
eps
@-inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(- 1 eps)

simplify235.0ms (3.5%)

Memory
-12.1MiB live, 227.9MiB allocated
Algorithm
egg-herbie
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
3 488×lower-*.f64
3 488×lower-*.f32
1 504×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089295
1220282
2488274
31301270
42859270
56046270
08576258
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps))) eps))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps))) eps))
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))

rewrite237.0ms (3.5%)

Memory
22.5MiB live, 175.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 220×lower-fma.f64
2 220×lower-fma.f32
2 058×lower-*.f64
2 058×lower-*.f32
1 842×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
Stop Event
iter limit
node limit
iter limit
Counts
4 → 304
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(exp.f64 (log1p.f64 eps))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 eps)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (neg.f64 eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) eps))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (fma.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) eps))
(pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))

eval75.0ms (1.1%)

Memory
-27.0MiB live, 52.7MiB allocated
Compiler

Compiled 8 254 to 976 computations (88.2% saved)

prune44.0ms (0.7%)

Memory
19.3MiB live, 96.1MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3446350
Fresh000
Picked011
Done000
Total3447351
Accuracy
100.0%
Counts
351 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
99.6%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 131 to 86 computations (34.4% saved)

simplify650.0ms (9.6%)

Memory
-38.1MiB live, 666.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
cost-diff0
(*.f64 eps #s(literal -2/3 binary64))
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) eps)
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
Rules
30 264×lower-fma.f32
30 252×lower-fma.f64
3 096×lower-+.f64
3 096×lower-+.f32
2 752×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031183
053183
1118183
2215183
3446183
4851183
51153183
61210183
71452183
81832183
92174183
102388183
114467183
126298183
136894183
146937183
156937183
166959183
177035183
187035183
197035183
08177183
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps eps)
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps eps)
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
eps
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)

localize294.0ms (4.3%)

Memory
33.3MiB live, 474.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
accuracy99.5%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
accuracy99.5%
(*.f64 eps #s(literal -2/5 binary64))
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
accuracy99.5%
(*.f64 eps #s(literal -2/3 binary64))
accuracy100.0%
(*.f64 #s(literal -2 binary64) eps)
accuracy100.0%
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
accuracy99.5%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
accuracy99.5%
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
Samples
131.0ms91×2valid
112.0ms159×1valid
1.0ms0valid
1.0ms4valid
Compiler

Compiled 205 to 35 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-add: 45.0ms (24.4% of total)
ival-log: 43.0ms (23.4% of total)
ival-mult: 41.0ms (22.3% of total)
adjust: 22.0ms (12% of total)
const: 16.0ms (8.7% of total)
ival-sub: 12.0ms (6.5% of total)
ival-div: 5.0ms (2.7% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-18.3MiB live, 20.4MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 eps #s(literal -2/3 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))>
#<alt (*.f64 eps #s(literal -2/5 binary64))>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt -2/5>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
1.0ms
eps
@0
(* eps (+ (* eps (* eps -2/3)) -2))
1.0ms
eps
@inf
(* eps (+ (* eps (* eps -2/3)) -2))
0.0ms
eps
@inf
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
0.0ms
eps
@inf
(* eps (+ (* (* eps eps) -2/7) -2/5))

simplify376.0ms (5.5%)

Memory
4.8MiB live, 371.4MiB allocated
Algorithm
egg-herbie
Rules
12 460×lower-fma.f64
12 460×lower-fma.f32
4 656×lower-*.f64
4 656×lower-*.f32
2 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01191512
13671512
214211482
340311476
085161388
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 (pow eps 2))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 (pow eps 2))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/5 (pow eps 5))
(*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 5))
(*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/5 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
-2/5
#s(literal -2/5 binary64)
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))

rewrite321.0ms (4.7%)

Memory
8.0MiB live, 435.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 936×lower-fma.f32
6 924×lower-fma.f64
4 980×lower-*.f32
4 960×lower-*.f64
3 996×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021133
043133
1176133
21181133
08337133
Stop Event
iter limit
node limit
iter limit
Counts
15 → 511
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2/5 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
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(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked055
Done011
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
99.6%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify27.0ms (0.4%)

Memory
-31.1MiB live, 12.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
80×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0843
01431
12931
25431
39131
415831
521131
628631
735631
843131
945531
045531
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) eps)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)

localize90.0ms (1.3%)

Memory
35.8MiB live, 74.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
accuracy7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
Samples
38.0ms91×2valid
36.0ms159×1valid
1.0ms3valid
0.0ms0valid
Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-log: 31.0ms (49.4% of total)
ival-div: 12.0ms (19.1% of total)
ival-sub: 11.0ms (17.5% of total)
adjust: 5.0ms (8% of total)
ival-add: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))>
Outputs
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- (* 2 eps) 2)))>
#<alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))>
#<alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* eps (- eps 1)))>
#<alt (+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1)))>
#<alt (/ 1 eps)>
#<alt (/ (- 1 (/ 1 eps)) eps)>
#<alt (/ (- (+ 1 (/ 1 (pow eps 2))) (/ 1 eps)) eps)>
#<alt (/ (- (+ 1 (/ 1 (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 3)))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (/ 1 eps) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1) eps))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(/ 1 (+ 1 eps))
0.0ms
eps
@0
(/ 1 (+ 1 eps))
0.0ms
eps
@-inf
(/ 1 (+ 1 eps))
0.0ms
eps
@0
(/ 1 (/ 1 (+ 1 eps)))
0.0ms
eps
@-inf
(/ 1 (/ 1 (+ 1 eps)))

simplify313.0ms (4.6%)

Memory
-25.4MiB live, 412.6MiB allocated
Algorithm
egg-herbie
Rules
11 762×lower-fma.f64
11 762×lower-fma.f32
3 316×lower-*.f64
3 316×lower-*.f32
2 000×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111403
1287380
2651368
31816362
44455362
56960362
08056348
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
1
(+ 1 (* -1 eps))
(+ 1 (* eps (- eps 1)))
(+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1)))
(/ 1 eps)
(/ (- 1 (/ 1 eps)) eps)
(/ (- (+ 1 (/ 1 (pow eps 2))) (/ 1 eps)) eps)
(/ (- (+ 1 (/ 1 (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 3)))) eps)
(/ 1 eps)
(* -1 (/ (- (/ 1 eps) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1) eps))
Outputs
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps))) eps))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) eps))
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) eps)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* eps (- eps 1)))
(-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)
(+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal 1 binary64)))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (- 1 (/ 1 eps)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) eps)
(/ (- (+ 1 (/ 1 (pow eps 2))) (/ 1 eps)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)) eps)
(/ (- (+ 1 (/ 1 (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 3)))) eps)
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (/ 1 eps) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1) eps))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))

rewrite186.0ms (2.7%)

Memory
23.7MiB live, 215.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 968×lower-fma.f64
2 968×lower-fma.f32
1 962×lower-*.f64
1 962×lower-*.f32
1 438×log-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
01426
17226
246926
3492213
0944012
Stop Event
iter limit
node limit
iter limit
Counts
5 → 435
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 #s(literal 1 binary64) eps)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
Outputs
(exp.f64 (log1p.f64 eps))
(exp.f64 (*.f64 (log1p.f64 eps) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 eps))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 eps)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
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(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 eps)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 eps)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps eps #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps eps #s(literal 1 binary64)) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps))))
(/.f64 (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps))) (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps eps #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))

eval74.0ms (1.1%)

Memory
-18.2MiB live, 110.2MiB allocated
Compiler

Compiled 11 962 to 1 552 computations (87% saved)

prune57.0ms (0.8%)

Memory
-0.3MiB live, 115.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4930493
Fresh000
Picked011
Done066
Total4937500
Accuracy
100.0%
Counts
500 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
7.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
99.6%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 134 to 77 computations (42.5% saved)

regimes8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

3.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.8%1eps
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

2.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.8%1eps
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory
-31.1MiB live, 11.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
Calls

3 calls:

5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.8%1eps
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Calls

3 calls:

2.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.6%1eps
99.6%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

1.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
5.4%1eps
5.4%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.4%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify7.0ms (0.1%)

Memory
-27.0MiB live, 12.1MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03179
14279
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(literal 0 binary64)

soundness685.0ms (10.1%)

Memory
16.8MiB live, 245.5MiB allocated
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
3 488×lower-*.f64
3 488×lower-*.f32
2 220×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
089295
1220282
2488274
31301270
42859270
56046270
08576258
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 72 to 41 computations (43.1% saved)

preprocess46.0ms (0.7%)

Memory
3.0MiB live, 82.8MiB allocated
Compiler

Compiled 120 to 66 computations (45% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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