logq (problem 3.4.3)

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory
-32.1MiB live, 7.0MiB allocated
Algorithm
1×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)

sample3.0s (31.5%)

Memory
53.2MiB live, 3 041.1MiB allocated
Samples
1.5s3 105×2valid
978.0ms4 860×1valid
18.0ms291×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-log: 1.4s (63.9% of total)
adjust: 202.0ms (9.3% of total)
ival-div: 173.0ms (8% of total)
ival-sub: 149.0ms (6.9% of total)
ival-add: 104.0ms (4.8% of total)
ival-fabs: 91.0ms (4.2% of total)
ival-<: 53.0ms (2.4% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain233.0ms (2.5%)

Memory
-14.2MiB live, 111.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(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)))sensitivity2540
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-002
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
114.0ms198×2valid
49.0ms300×1valid
1.0ms14×0valid
Compiler

Compiled 59 to 22 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-log: 92.0ms (72.6% of total)
adjust: 12.0ms (9.5% of total)
ival-div: 9.0ms (7.1% of total)
ival-add: 6.0ms (4.7% of total)
ival-sub: 6.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess56.0ms (0.6%)

Memory
-16.1MiB live, 23.0MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize149.0ms (1.6%)

Memory
-26.4MiB live, 128.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) eps)
accuracy0
(+.f64 #s(literal 1 binary64) eps)
accuracy0.01953125
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy58.70318572489682
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
79.0ms99×2valid
42.0ms150×1valid
0.0ms7×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-log: 68.0ms (61.7% of total)
ival-sub: 27.0ms (24.5% of total)
ival-div: 7.0ms (6.4% of total)
adjust: 6.0ms (5.4% of total)
ival-add: 3.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.1MiB live, 6.1MiB 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
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
0.0ms
eps
@inf
(- 1 eps)

simplify225.0ms (2.4%)

Memory
28.8MiB live, 231.7MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite186.0ms (2%)

Memory
-8.8MiB live, 268.9MiB allocated
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
1×iter limit
1×node limit
1×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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.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 #s(literal -1 binary64))) (fma.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 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 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))) (*.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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(*.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))) #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))) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (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 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (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) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (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) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))

eval43.0ms (0.5%)

Memory
12.6MiB live, 87.9MiB allocated
Compiler

Compiled 8 300 to 976 computations (88.2% saved)

prune47.0ms (0.5%)

Memory
-26.6MiB live, 96.0MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3428350
Fresh000
Picked011
Done000
Total3429351
Accuracy
100.0%
Counts
351 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.2%
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))
▶8.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
8.0%
(log.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) eps)))
▶99.6%
#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))))
99.6%
#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))))
▶99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
99.1%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
▶5.5%
#s(literal 0 binary64)
Compiler

Compiled 223 to 132 computations (40.8% saved)

simplify230.0ms (2.4%)

Memory
-22.0MiB live, 393.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))
cost-diff128
(neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))
cost-diff1280
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
cost-diff1408
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps))
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
cost-diff1088
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 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)))
cost-diff0
#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))))
Rules
15 444×lower-fma.f32
15 432×lower-fma.f64
2 690×lower-*.f32
2 678×lower-*.f64
1 888×lower-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037291
064266
1138264
2307248
3829240
42620237
57256237
08132237
Stop Event
1×iter limit
1×node limit
1×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 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)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(fma.f64 eps eps #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 eps eps #s(literal -1 binary64))
eps
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))
(*.f64 eps eps)
(+.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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps 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))))
(*.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 (*.f64 eps eps) (fma.f64 (*.f64 eps 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)))
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 (*.f64 eps eps) (fma.f64 (*.f64 eps 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))
(*.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)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 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))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 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)))
(*.f64 eps (fma.f64 eps (*.f64 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))
(fma.f64 eps (*.f64 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 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)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(/.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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(fma.f64 eps eps #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.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) eps)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.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))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps eps #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 eps eps #s(literal -1 binary64))
eps
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 eps (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))
(*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 eps eps)
(+.f64 #s(literal 1 binary64) eps)

localize352.0ms (3.8%)

Memory
6.7MiB live, 804.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))
accuracy0.01953125
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps))
accuracy0.03515625
(/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))
accuracy58.70318572489682
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))
accuracy0
(+.f64 eps #s(literal -1 binary64))
accuracy0.01953125
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
accuracy0.02734375
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
accuracy58.70318572489682
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
accuracy0
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
accuracy0.0078125
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
accuracy0.3156850557050591
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
accuracy0.3359375
(*.f64 eps #s(literal -2/3 binary64))
accuracy0.01171875
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy0.2321605468173174
#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))))
accuracy0.3359375
(*.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)))
accuracy0.34765625
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
Samples
155.0ms99×2valid
134.0ms150×1valid
2.0ms7×0valid
Compiler

Compiled 291 to 40 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-log: 123.0ms (48.8% of total)
ival-mult: 32.0ms (12.7% of total)
ival-div: 25.0ms (9.9% of total)
adjust: 22.0ms (8.7% of total)
ival-add: 20.0ms (7.9% of total)
const: 18.0ms (7.1% of total)
ival-sub: 8.0ms (3.2% of total)
ival-neg: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-2.0MiB live, 36.0MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt #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))))>
#<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 #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))>
#<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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))>
#<alt (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))>
#<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 -1 binary64))>
#<alt (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 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 (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 (* -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 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 (* -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 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 (* -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 (pow eps 2))>
#<alt (* (pow eps 2) (- eps 1))>
#<alt (* (pow eps 2) (- (* eps (+ 1 (* -1 eps))) 1))>
#<alt (* (pow eps 2) (- (* eps (+ 1 (* eps (- eps 1)))) 1))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) (+ 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (- (+ (/ 1 eps) (/ 1 (pow eps 3))) (+ 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (- 1 (/ 1 eps)) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 eps)) eps))) 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 (* -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 -1>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt eps>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 eps)))>
#<alt (* (pow eps 2) (+ 1 (* eps (- eps 1))))>
#<alt (* (pow eps 2) (+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1))))>
#<alt eps>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- (+ 1 (/ 1 (pow eps 2))) (/ 1 eps)))>
#<alt (* eps (- (+ 1 (/ 1 (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 3)))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1)))>
#<alt -1>
#<alt (- (* -1 (pow eps 2)) 1)>
#<alt (- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow eps 2))>
#<alt (/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 4)))) (pow eps 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))>
#<alt (/ 1 (pow eps 2))>
#<alt (/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 4)))) (pow eps 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(/ 1 (+ (* eps eps) -1))
1.0ms
eps
@inf
(* eps (+ (* eps (* eps -2/3)) -2))
1.0ms
eps
@inf
(* eps (+ (* eps (* eps (+ (* eps (* eps (+ (* (* eps eps) -2/7) -2/5))) -2/3))) -2))
0.0ms
eps
@inf
(+ (* (/ 1 (+ (* eps eps) -1)) (+ eps -1)) (neg (/ (* eps eps) (+ 1 eps))))
0.0ms
eps
@-inf
(+ (* (/ 1 (+ (* eps eps) -1)) (+ eps -1)) (neg (/ (* eps eps) (+ 1 eps))))

simplify185.0ms (2%)

Memory
20.4MiB live, 254.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 250×lower-fma.f64
8 250×lower-fma.f32
4 082×lower-*.f64
4 082×lower-*.f32
2 076×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02102063
16112008
219061935
356461919
081481823
Stop Event
1×iter limit
1×node limit
Counts
252 → 246
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)))
(* -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 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)))
(* -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)
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 (* -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 (pow eps 2))
(* (pow eps 2) (- eps 1))
(* (pow eps 2) (- (* eps (+ 1 (* -1 eps))) 1))
(* (pow eps 2) (- (* eps (+ 1 (* eps (- eps 1)))) 1))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) (+ 1 (/ 1 (pow eps 2)))))
(* eps (- (+ (/ 1 eps) (/ 1 (pow eps 3))) (+ 1 (/ 1 (pow eps 2)))))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (+ 1 (* -1 (/ (- 1 (/ 1 eps)) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 eps)) eps))) 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)))
(* -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))))))
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 eps)))
(* (pow eps 2) (+ 1 (* eps (- eps 1))))
(* (pow eps 2) (+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1))))
eps
(* 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 eps) 1)))
(* -1 (* eps (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1)))
-1
(- (* -1 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)) 1)
(/ 1 (pow eps 2))
(/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 4)))) (pow eps 2))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))
(/ 1 (pow eps 2))
(/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 4)))) (pow eps 2))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* 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 (*.f64 eps 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))
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(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
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(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
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#s(literal -1 binary64)
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1
#s(literal 1 binary64)
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#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
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1
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(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps)) eps)
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(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps)) eps)
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(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
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(log -1)
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(log -1)
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(- (log -1) (* 2 (/ 1 eps)))
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(* -2/5 eps)
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(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
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(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
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(*.f64 eps (fma.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
-1
#s(literal -1 binary64)
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
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(- eps 1)
(+.f64 eps #s(literal -1 binary64))
eps
(* eps (- 1 (/ 1 eps)))
(+.f64 eps #s(literal -1 binary64))
(* eps (- 1 (/ 1 eps)))
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(* eps (- 1 (/ 1 eps)))
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eps
(* -1 (* eps (- (/ 1 eps) 1)))
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(pow eps 2)
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(* (pow eps 2) (+ 1 (* -1 eps)))
(*.f64 eps (-.f64 eps (*.f64 eps eps)))
(* (pow eps 2) (+ 1 (* eps (- eps 1))))
(*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps eps) eps) eps))
(* (pow eps 2) (+ 1 (* eps (- (* eps (+ 1 (* -1 eps))) 1))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))
eps
(* eps (- 1 (/ 1 eps)))
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(* eps (- (+ 1 (/ 1 (pow eps 2))) (/ 1 eps)))
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(* eps (- (+ 1 (/ 1 (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 3)))))
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eps
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(* -1 (* eps (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1)))
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(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1) eps)) 1) eps)) 1)))
(+.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps)))
-1
#s(literal -1 binary64)
(- (* -1 (pow eps 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 eps eps))
(- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)
(fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (*.f64 eps (neg.f64 eps)) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -1 (pow eps 2)) 1)) 1)) 1)
(fma.f64 (*.f64 eps eps) (fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (*.f64 eps (neg.f64 eps)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ 1 (pow eps 2))
(/.f64 #s(literal 1 binary64) (*.f64 eps eps))
(/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))
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(/ (+ 1 (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 4)))) (pow eps 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps eps))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 eps eps))
(/ 1 (pow eps 2))
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(/ (+ 1 (/ 1 (pow eps 2))) (pow eps 2))
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps eps))
(/ (+ 1 (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 4)) (/ 1 (pow eps 6))))) (pow eps 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 eps eps))

rewrite366.0ms (3.9%)

Memory
16.5MiB live, 444.4MiB allocated
Rules
4 286×lower-/.f32
4 278×lower-/.f64
4 218×lower-*.f32
4 216×lower-fma.f32
4 206×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036245
063200
1279185
22324185
08638177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 763
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)))
(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)))
#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)))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
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(/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps 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 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps 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)))))
(+.f64 (*.f64 (*.f64 eps 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)))) (*.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps 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)))) (*.f64 (*.f64 eps 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))))) (-.f64 (*.f64 (*.f64 eps 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)))) (*.f64 eps #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 eps 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)))) (*.f64 eps #s(literal -2 binary64)))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps 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)))))
(fma.f64 eps (*.f64 (*.f64 eps 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))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps 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))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.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))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps 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)))))
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(fma.f64 (*.f64 eps (*.f64 eps 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)) (*.f64 eps #s(literal -2 binary64)))
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(/.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (*.f64 (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 (*.f64 eps 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 -4 binary64))) (fma.f64 (*.f64 eps 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)))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (fma.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 eps))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 eps))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps)))) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (neg.f64 (*.f64 eps (neg.f64 eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (*.f64 eps (neg.f64 eps)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (neg.f64 (*.f64 eps (neg.f64 eps))) (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 eps))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(pow.f64 (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 eps))) (/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal 1 binary64) eps)))
(neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))))
(/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) #s(literal 1 binary64))))
(/.f64 (*.f64 eps (neg.f64 eps)) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(/.f64 (neg.f64 (*.f64 eps (neg.f64 eps))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (neg.f64 eps)))) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (*.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)) (*.f64 eps eps))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) eps)
(*.f64 (/.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 eps eps #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps (neg.f64 eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps (neg.f64 eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps eps #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 1 binary64))) #s(literal -1 binary64)))

eval325.0ms (3.5%)

Memory
22.5MiB live, 447.7MiB allocated
Compiler

Compiled 84 181 to 6 295 computations (92.5% saved)

prune233.0ms (2.5%)

Memory
-2.5MiB live, 365.9MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2 08842 092
Fresh303
Picked235
Done011
Total2 09382 101
Accuracy
100.0%
Counts
2 101 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶8.2%
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶99.6%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
▶99.1%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
✓99.6%
#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))))
✓99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
✓5.5%
#s(literal 0 binary64)
Compiler

Compiled 78 to 49 computations (37.2% saved)

simplify333.0ms (3.6%)

Memory
-5.2MiB live, 263.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 eps)
cost-diff0
(neg.f64 eps)
cost-diff0
(log1p.f64 (neg.f64 eps))
cost-diff0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 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)))
cost-diff128
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(literal -2 binary64) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
Rules
19 294×lower-fma.f32
19 290×lower-fma.f64
2 502×lower-+.f32
2 500×lower-+.f64
2 392×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029134
046139
188139
2184127
3406121
4867121
52469121
67311121
08051121
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
(neg.f64 (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) 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)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)
Outputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps 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 (*.f64 eps eps) (fma.f64 (*.f64 eps 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 eps)
(fma.f64 (*.f64 eps 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))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (+.f64 eps #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) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(-.f64 #s(literal 1 binary64) eps)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)

localize241.0ms (2.6%)

Memory
20.6MiB live, 215.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 eps)
accuracy0
(log1p.f64 (neg.f64 eps))
accuracy0
(log1p.f64 eps)
accuracy0.00390625
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
accuracy0
(+.f64 #s(literal 1 binary64) eps)
accuracy0
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
accuracy0.02734375
(/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
accuracy58.723950013096214
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
accuracy0
(*.f64 eps eps)
accuracy0.00390625
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
accuracy0.00390625
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
accuracy0.2734480757329314
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
accuracy0
(*.f64 #s(literal -2 binary64) eps)
accuracy0.5767346633878585
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
Samples
112.0ms150×1valid
98.0ms99×2valid
2.0ms7×0valid
Compiler

Compiled 131 to 29 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-log: 98.0ms (53.6% of total)
adjust: 19.0ms (10.4% of total)
ival-div: 17.0ms (9.3% of total)
ival-add: 15.0ms (8.2% of total)
ival-mult: 11.0ms (6% of total)
const: 10.0ms (5.5% of total)
ival-sub: 5.0ms (2.7% of total)
ival-neg: 3.0ms (1.6% of total)
ival-log1p: 3.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-23.0MiB live, 13.8MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt #s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt #s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))>
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))>
#<alt (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))>
#<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 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))>
#<alt (log1p.f64 (neg.f64 eps))>
#<alt (neg.f64 eps)>
#<alt (log1p.f64 eps)>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 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 (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 (* -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 (- (* (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 (* -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 (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<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 (* -1 (log -1))>
#<alt (* -1 (+ (log -1) (* 2 (/ 1 eps))))>
#<alt (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))>
#<alt (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3))) (+ (log -1) (* 2 (/ 1 eps))))>
#<alt (* -1 (log -1))>
#<alt (* -1 (+ (log -1) (* 2 (/ 1 eps))))>
#<alt (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))>
#<alt (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))>
#<alt (* 2 eps)>
#<alt (* eps (+ 2 (* 2/3 (pow eps 2))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 2/3 (* 2/5 (pow eps 2))))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 2/5 (* 2/7 (pow eps 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow eps 3)) (+ (* 2 (/ 1 eps)) (* 2/5 (/ 1 (pow eps 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2) eps)))>
#<alt 1>
#<alt (+ 1 (* 2 eps))>
#<alt (+ 1 (* eps (+ 2 (* 2 eps))))>
#<alt (+ 1 (* eps (+ 2 (* eps (+ 2 (* 2 eps))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 eps))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) (pow eps 2))) (+ 1 (* 2 (/ 1 eps))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 eps))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 eps)) (/ 2 (pow eps 2)))) eps)) 1)>
#<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 (* -1 (log -1))>
#<alt (* -1 (+ (log -1) (* 2 (/ 1 eps))))>
#<alt (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))>
#<alt (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))>
#<alt (* -1 eps)>
#<alt (* eps (- (* -1/2 eps) 1))>
#<alt (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))>
#<alt (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 eps))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))>
#<alt (* -1 (log (/ -1 eps)))>
#<alt (- (* -1 (log (/ -1 eps))) (/ 1 eps))>
#<alt (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))>
#<alt (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (* -1/2 eps)))>
#<alt (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))>
#<alt (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))>
#<alt (* -1 (log (/ 1 eps)))>
#<alt (+ (* -1 (log (/ 1 eps))) (/ 1 eps))>
#<alt (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))>
#<alt (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 eps))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))>
#<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))))))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(neg (log (/ (+ 1 eps) (- 1 eps))))
1.0ms
eps
@0
(- (log (+ 1 (neg eps))) (log (+ 1 eps)))
0.0ms
eps
@inf
(* eps (+ (* (* eps eps) (+ (* (* eps eps) -2/5) -2/3)) -2))
0.0ms
eps
@inf
(log (+ 1 eps))
0.0ms
eps
@inf
(* -2 eps)

simplify265.0ms (2.8%)

Memory
-5.2MiB live, 357.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 602×lower-fma.f64
15 602×lower-fma.f32
4 366×lower-*.f64
4 366×lower-*.f32
4 120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02241504
16331461
216261436
344901414
081701346
Stop Event
1×iter limit
1×node limit
Counts
180 → 177
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)))
(* -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 (- (* (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)))
(* -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))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -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))
(* -1 (log -1))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))
(- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3))) (+ (log -1) (* 2 (/ 1 eps))))
(* -1 (log -1))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(- (* -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)) (log -1))
(* 2 eps)
(* eps (+ 2 (* 2/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 2/3 (* 2/5 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 2/5 (* 2/7 (pow eps 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (+ (* 2 (/ 1 eps)) (* 2/5 (/ 1 (pow eps 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2) eps)))
1
(+ 1 (* 2 eps))
(+ 1 (* eps (+ 2 (* 2 eps))))
(+ 1 (* eps (+ 2 (* eps (+ 2 (* 2 eps))))))
-1
(* -1 (+ 1 (* 2 (/ 1 eps))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) (pow eps 2))) (+ 1 (* 2 (/ 1 eps))))
-1
(* -1 (+ 1 (* 2 (/ 1 eps))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 eps)) (/ 2 (pow eps 2)))) eps)) 1)
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)))
(* -1 (log -1))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(- (* -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)) (log -1))
(* -1 eps)
(* eps (- (* -1/2 eps) 1))
(* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))
(* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 eps))))
(- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))
(- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))
(* -1 (log (/ -1 eps)))
(- (* -1 (log (/ -1 eps))) (/ 1 eps))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
eps
(* eps (+ 1 (* -1/2 eps)))
(* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))
(* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))
(* -1 (log (/ 1 eps)))
(+ (* -1 (log (/ 1 eps))) (/ 1 eps))
(- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))
(- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))
(+ (log -1) (* -1 (log (/ -1 eps))))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))
-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))))))
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 (*.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 (*.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 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -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 (*.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 (*.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 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps))
(* -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 (*.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 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.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 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps 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 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps 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 5))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.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 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 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 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 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 eps (*.f64 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 eps (*.f64 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 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 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 eps (*.f64 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 eps (*.f64 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 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -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 (*.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 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3))) (+ (log -1) (* 2 (/ 1 eps))))
(-.f64 (/.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.f64 #s(literal -1 binary64)))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps) (log.f64 #s(literal -1 binary64)))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* eps (+ 2 (* 2/3 (pow eps 2))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(* eps (+ 2 (* (pow eps 2) (+ 2/3 (* 2/5 (pow eps 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 (+ 2 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 2/5 (* 2/7 (pow eps 2))))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps 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) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 2/3 binary64) (*.f64 eps (*.f64 eps eps)))))
(+ (log -1) (+ (/ 2/3 (pow eps 3)) (+ (* 2 (/ 1 eps)) (* 2/5 (/ 1 (pow eps 5))))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 2/3 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 eps (*.f64 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) (+ (/ 2/3 (pow eps 3)) (* 2 (/ 1 eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 2/3 binary64) (*.f64 eps (*.f64 eps eps)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 2))) 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 eps #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (+ 2 (* 2 eps))))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* eps (+ 2 (* eps (+ 2 (* 2 eps))))))
(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)
(* -1 (+ 1 (* 2 (/ 1 eps))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) (pow eps 2))) (+ 1 (* 2 (/ 1 eps))))
(-.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 (* 2 (/ 1 eps))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(- (* -1 (/ (+ 2 (* 2 (/ 1 eps))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 eps)) (/ 2 (pow 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 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))
(* -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 (*.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 (*.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))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))
(-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps) (log.f64 #s(literal -1 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1/2 eps) 1))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))
(*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps))
(- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 eps) (/.f64 #s(literal -1 binary64) eps)))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) eps)) eps))
(- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))
(+.f64 (log.f64 eps) (fma.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) eps)) eps) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps) (log.f64 #s(literal -1 binary64))))
(* -1 (log (/ -1 eps)))
(log.f64 (neg.f64 eps))
(- (* -1 (log (/ -1 eps))) (/ 1 eps))
(+.f64 (log.f64 (neg.f64 eps)) (/.f64 #s(literal -1 binary64) eps))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) eps)) eps) (log.f64 (neg.f64 eps)))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))
(+.f64 (log.f64 (neg.f64 eps)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) eps)) eps)) eps))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
eps
(* eps (+ 1 (* -1/2 eps)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 1/3 binary64) #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 eps #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) eps)
(* -1 (log (/ 1 eps)))
(log.f64 eps)
(+ (* -1 (log (/ 1 eps))) (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (log.f64 eps))
(- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))
(+.f64 (log.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) eps)) eps))
(- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))
(+.f64 (log.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) eps)) eps)) eps))
(+ (log -1) (* -1 (log (/ -1 eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 eps)))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (log.f64 (neg.f64 eps))))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) eps)) eps)))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) eps)) 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))
(- (* -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 (*.f64 eps 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 (*.f64 eps 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))

rewrite241.0ms (2.6%)

Memory
41.5MiB live, 271.0MiB allocated
Rules
5 404×lower-fma.f32
5 400×lower-fma.f64
3 468×lower-/.f32
3 466×lower-/.f64
3 268×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029122
046142
1205102
2162594
0924894
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 062
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps eps)
(neg.f64 (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) eps)))
(/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
(log1p.f64 eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
Outputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (-.f64 (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64))))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))))) (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (-.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal -4/9 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64))) (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)))) (neg.f64 (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64)))))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 4/25 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))

eval223.0ms (2.4%)

Memory
-13.0MiB live, 251.2MiB allocated
Compiler

Compiled 30 887 to 3 727 computations (87.9% saved)

prune134.0ms (1.4%)

Memory
32.5MiB live, 268.7MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 26511 266
Fresh000
Picked044
Done044
Total1 26591 274
Accuracy
100.0%
Counts
1 274 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓8.2%
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
▶99.6%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
✓99.6%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
✓99.1%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
✓99.6%
#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))))
✓99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
✓5.5%
#s(literal 0 binary64)
Compiler

Compiled 95 to 58 computations (38.9% saved)

simplify323.0ms (3.4%)

Memory
-25.9MiB live, 299.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
cost-diff0
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
cost-diff320
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
Rules
20 470×lower-fma.f32
20 466×lower-fma.f64
2 596×lower-+.f64
2 596×lower-+.f32
2 516×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01966
02660
15260
210156
328354
477654
5238554
6711954
0812654
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(*.f64 eps eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(*.f64 eps (*.f64 eps eps))
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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))))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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)))
(fma.f64 (*.f64 eps 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 eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(*.f64 eps (*.f64 eps eps))
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)

localize136.0ms (1.4%)

Memory
21.1MiB live, 141.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 eps #s(literal -2 binary64))
accuracy0.00390625
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
accuracy0.0859375
(*.f64 eps (*.f64 eps eps))
accuracy0.2734480757329314
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
Samples
65.0ms99×2valid
52.0ms150×1valid
1.0ms7×0valid
Compiler

Compiled 55 to 21 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-log: 35.0ms (34.2% of total)
ival-add: 15.0ms (14.6% of total)
ival-mult: 14.0ms (13.7% of total)
adjust: 12.0ms (11.7% of total)
const: 10.0ms (9.8% of total)
ival-div: 8.0ms (7.8% of total)
ival-sub: 6.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))>
#<alt #s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))>
#<alt (*.f64 eps eps)>
#<alt (*.f64 eps (*.f64 eps eps))>
#<alt (*.f64 eps #s(literal -2 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) (- (* -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 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 -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 (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<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)>
Calls

18 calls:

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

simplify230.0ms (2.4%)

Memory
2.4MiB live, 194.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 286×lower-fma.f64
12 286×lower-fma.f32
3 304×lower-*.f64
3 304×lower-*.f32
1 870×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072458
1178454
2516448
31319448
42733448
55397448
08018428
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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) (- (* -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 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)))
-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))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 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 (*.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 (*.f64 eps eps) (*.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.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 (*.f64 eps (*.f64 eps (*.f64 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 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 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 5))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.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 (*.f64 eps (*.f64 eps (*.f64 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))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 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 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 (*.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 (*.f64 eps 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 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps 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))
(- (* -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))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)

rewrite347.0ms (3.7%)

Memory
-12.2MiB live, 307.1MiB allocated
Rules
10 786×lower-fma.f32
10 782×lower-fma.f64
4 972×lower-*.f32
4 966×lower-*.f64
3 204×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962
02656
112650
2103850
0918048
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 157
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(*.f64 eps eps)
(*.f64 eps (*.f64 eps eps))
(*.f64 eps #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))) (*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) eps) eps) eps (*.f64 eps #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) eps) eps) eps (*.f64 eps #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 eps #s(literal -2 binary64))))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64)))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))) (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps))))
(-.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))) (*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 eps (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))) (*.f64 eps (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) eps) eps) eps (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) eps) eps) eps (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 eps #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal 1 binary64) (*.f64 eps #s(literal -2 binary64)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/15 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal -4/9 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 2/5 binary64) #s(literal -2/3 binary64)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)))) (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (*.f64 (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 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/15 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal -4/9 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/5 binary64) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))))) (neg.f64 (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/15 binary64)))))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64))))))
(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/15 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/5 binary64) #s(literal -2/3 binary64))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (neg.f64 eps)))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (neg.f64 eps)))
(*.f64 (*.f64 eps (neg.f64 eps)) #s(literal -1 binary64))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 3/2 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 eps eps) #s(literal 3/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))

eval36.0ms (0.4%)

Memory
-0.1MiB live, 47.3MiB allocated
Compiler

Compiled 6 919 to 484 computations (93% saved)

prune31.0ms (0.3%)

Memory
-20.9MiB live, 54.2MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2550255
Fresh000
Picked011
Done088
Total2559264
Accuracy
100.0%
Counts
264 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓8.2%
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
✓8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓99.6%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
✓99.6%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
✓99.1%
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 #s(literal -2 binary64) eps))
✓99.6%
#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))))
✓99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
✓5.5%
#s(literal 0 binary64)
Compiler

Compiled 252 to 115 computations (54.4% saved)

regimes13.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
14 → 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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)))
(neg.f64 (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(log.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

4.0ms
eps
4.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes14.0ms (0.1%)

Memory
-13.7MiB live, 23.7MiB allocated
Counts
13 → 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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)))
(neg.f64 (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(log.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.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:

6.0ms
eps
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
3.0ms
(log.f64 (/.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)

regimes8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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
99.6%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)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
6 → 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps 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
(/.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
99.6%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)

regimes12.0ms (0.1%)

Memory
-31.3MiB live, 11.9MiB 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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:

8.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.5%1eps
99.5%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.5%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
10.0MiB live, 10.0MiB 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) (/ (+ (* eps eps) -1) (+ eps -1)))) (*.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
99.1%1eps
99.1%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.1%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%)

Memory
7.8MiB live, 7.8MiB 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
5.5%1eps
5.5%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.5%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
12.7MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047115
163115
268115
371115
472115
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
#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) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
#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) (/ (+ (* eps eps) -1) (+ eps -1)))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #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)

soundness1.0s (11.2%)

Memory
-17.0MiB live, 532.0MiB allocated
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
8 250×lower-fma.f64
8 250×lower-fma.f32
5 404×lower-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
02102063
16112008
219061935
356461919
081481823
089295
1220282
2488274
31301270
42859270
56046270
08576258
036245
063200
1279185
22324185
08638177
029122
046142
1205102
2162594
0924894
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 185 to 97 computations (47.6% saved)

preprocess91.0ms (1%)

Memory
20.2MiB live, 100.0MiB allocated
Compiler

Compiled 172 to 80 computations (53.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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