logq (problem 3.4.3)

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.8%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (33.3%)

Memory
43.1MiB live, 2 654.7MiB allocated
Samples
1.3s3 138×2valid
882.0ms4 833×1valid
31.0ms285×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-log: 1.2s (61.1% of total)
adjust: 189.0ms (9.9% of total)
ival-div: 174.0ms (9.1% of total)
ival-sub: 138.0ms (7.2% of total)
ival-add: 130.0ms (6.8% of total)
ival-fabs: 58.0ms (3% of total)
ival-<: 49.0ms (2.6% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess41.0ms (0.5%)

Memory
-29.5MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Rules
208×lower-fma.f64
208×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
84×times-frac
Iterations

Useful iterations: 0 (0.0ms)

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

explain190.0ms (2.5%)

Memory
16.3MiB live, 252.4MiB 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
73.0ms186×2valid
60.0ms314×1valid
1.0ms12×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-log: 73.0ms (65.7% of total)
adjust: 16.0ms (14.4% of total)
ival-div: 9.0ms (8.1% of total)
ival-sub: 7.0ms (6.3% of total)
ival-add: 6.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify21.0ms (0.3%)

Memory
-21.6MiB live, 19.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize75.0ms (1%)

Memory
12.5MiB live, 89.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(+.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy7.6%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
37.0ms93×2valid
26.0ms157×1valid
0.0ms0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 32.0ms (61% of total)
ival-sub: 7.0ms (13.3% of total)
adjust: 6.0ms (11.4% of total)
ival-div: 4.0ms (7.6% of total)
ival-add: 3.0ms (5.7% 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
4.7MiB live, 4.7MiB 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)

simplify281.0ms (3.6%)

Memory
0.4MiB live, 323.9MiB allocated
Algorithm
egg-herbie
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
3 488×lower-*.f64
3 488×lower-*.f32
1 504×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite280.0ms (3.6%)

Memory
0.8MiB live, 238.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 220×lower-fma.f64
2 220×lower-fma.f32
2 058×lower-*.f64
2 058×lower-*.f32
1 842×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

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

eval54.0ms (0.7%)

Memory
-4.5MiB live, 70.8MiB allocated
Compiler

Compiled 8 300 to 976 computations (88.2% saved)

prune43.0ms (0.6%)

Memory
-5.3MiB live, 85.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3455350
Fresh000
Picked011
Done000
Total3456351
Accuracy
100.0%
Counts
351 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.7%
#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))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.2%
#s(literal 0 binary64)
Compiler

Compiled 113 to 70 computations (38.1% saved)

simplify715.0ms (9.3%)

Memory
45.4MiB live, 785.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
cost-diff0
#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))))
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 #s(literal -2 binary64) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
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
30 264×lower-fma.f32
30 252×lower-fma.f64
3 096×lower-+.f64
3 096×lower-+.f32
2 752×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031229
053229
1118229
2215229
3446229
4851229
51153229
61210229
71452229
81832229
92174229
102388229
114467229
126298229
136894229
146937229
156937229
166959229
177035229
187035229
197035229
08177229
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps eps)
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps eps)
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
eps
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)

localize290.0ms (3.8%)

Memory
7.1MiB live, 321.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
accuracy99.7%
#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))))
accuracy99.4%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
accuracy99.4%
(*.f64 eps #s(literal -2/5 binary64))
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
accuracy99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
accuracy99.4%
(*.f64 eps #s(literal -2/3 binary64))
accuracy100.0%
(*.f64 #s(literal -2 binary64) eps)
accuracy99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
accuracy99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
accuracy99.4%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
accuracy99.4%
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
Samples
132.0ms93×2valid
111.0ms157×1valid
1.0ms0valid
Compiler

Compiled 205 to 35 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-log: 84.0ms (45.1% of total)
ival-mult: 43.0ms (23.1% of total)
adjust: 19.0ms (10.2% of total)
const: 16.0ms (8.6% of total)
ival-add: 16.0ms (8.6% of total)
ival-div: 5.0ms (2.7% of total)
ival-sub: 4.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-15.7MiB live, 27.3MiB allocated
Counts
16 → 192
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 #s(literal -2 binary64) eps))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<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 #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))))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))>
#<alt (*.f64 eps #s(literal -2/5 binary64))>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (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 (* -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 (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (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 (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 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 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
Calls

48 calls:

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

simplify295.0ms (3.8%)

Memory
-22.4MiB live, 357.5MiB allocated
Algorithm
egg-herbie
Rules
11 654×lower-fma.f64
11 654×lower-fma.f32
4 544×lower-*.f64
4 544×lower-*.f32
2 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301736
13771720
213521696
338601690
082991603
Stop Event
iter limit
node limit
Counts
192 → 192
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)
(* -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 (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (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))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 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 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
Outputs
(* -2 eps)
(*.f64 #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 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)))
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 2 binary64)) (log.f64 #s(literal -1 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 (+ (/ 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 (*.f64 eps 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) (- (* (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)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(fma.f64 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))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
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(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.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)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.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 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))

rewrite303.0ms (3.9%)

Memory
25.5MiB live, 333.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 642×lower-/.f64
4 642×lower-/.f32
4 568×lower-*.f32
4 548×lower-*.f64
3 468×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030188
052188
1217188
21495188
08274180
Stop Event
iter limit
node limit
iter limit
Counts
16 → 293
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 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.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))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(*.f64 eps #s(literal -2/5 binary64))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.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) (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 (*.f64 eps 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 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.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) (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 (*.f64 eps 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 #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64))))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (*.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) (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 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal 4 binary64)) (*.f64 eps (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (*.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 eps (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal 4 binary64)) (*.f64 eps (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal -8 binary64)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) #s(literal -4 binary64)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (-.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) (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 (*.f64 eps 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 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (*.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) (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 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) eps)
(+.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(+.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))) (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))) (/.f64 (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))) (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))))
(fma.f64 eps #s(literal -2/5 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) (*.f64 eps #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) (*.f64 eps #s(literal -2/7 binary64)) (*.f64 eps #s(literal -2/5 binary64)))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal -2/5 binary64)))
(fma.f64 #s(literal -2/5 binary64) eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)) eps (*.f64 eps #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/7 binary64) (*.f64 eps #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps #s(literal -2/7 binary64)) (*.f64 eps eps) (*.f64 eps #s(literal -2/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (-.f64 (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64))))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))) (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64))) (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)) (*.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64))) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64))) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (-.f64 (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))) (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64)))) (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64))))
(/.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64))))
(/.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps) (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)) eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (-.f64 (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))) (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps #s(literal -2/5 binary64)))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64)))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) #s(literal -8/125 binary64)) eps)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 4/35 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)) eps)) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) (fma.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps #s(literal -2/5 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))) (*.f64 (*.f64 eps #s(literal -2/5 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) eps)
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

eval97.0ms (1.3%)

Memory
-28.6MiB live, 135.1MiB allocated
Compiler

Compiled 15 781 to 1 207 computations (92.4% saved)

prune44.0ms (0.6%)

Memory
8.9MiB live, 86.5MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4841485
Fresh000
Picked055
Done011
Total4847491
Accuracy
100.0%
Counts
491 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.7%
#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))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.2%
#s(literal 0 binary64)
Compiler

Compiled 83 to 49 computations (41% saved)

simplify732.0ms (9.5%)

Memory
40.1MiB live, 743.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
cost-diff320
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
Rules
33 064×lower-fma.f32
33 058×lower-fma.f64
3 096×lower-+.f64
3 096×lower-+.f32
3 088×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01790
02690
16288
215988
336288
471688
585888
692188
7116088
8152588
9186188
10207488
11414988
12597988
13661388
14665688
15665688
16667888
17675488
18675488
19675488
0812486
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
#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))))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(*.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 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.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)))
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(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)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)

localize148.0ms (1.9%)

Memory
5.9MiB live, 239.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 eps #s(literal -2 binary64))
accuracy100.0%
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
accuracy99.4%
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
Samples
59.0ms93×2valid
57.0ms157×1valid
1.0ms0valid
Compiler

Compiled 79 to 21 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-log: 33.0ms (33.5% of total)
const: 17.0ms (17.3% of total)
ival-mult: 17.0ms (17.3% of total)
adjust: 12.0ms (12.2% of total)
ival-add: 9.0ms (9.1% of total)
ival-sub: 5.0ms (5.1% of total)
ival-div: 4.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-36.5MiB live, 4.1MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))>
#<alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))>
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))>
#<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) (- (* (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 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 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt -2/5>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2 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
3.0ms
eps
@0
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) -2/7) -2/5)) -2/3)) (* eps eps)) (* eps -2))
0.0ms
eps
@inf
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) -2/7) -2/5)) -2/3)) (* eps eps)) (* eps -2))
0.0ms
eps
@-inf
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) -2/7) -2/5)) -2/3)) (* eps eps)) (* eps -2))
0.0ms
eps
@inf
(+ (* (* eps eps) (+ (* (* eps eps) -2/7) -2/5)) -2/3)
0.0ms
eps
@inf
(+ (* (* eps eps) -2/7) -2/5)

simplify263.0ms (3.4%)

Memory
30.7MiB live, 310.5MiB allocated
Algorithm
egg-herbie
Rules
8 308×lower-fma.f64
8 308×lower-fma.f32
3 386×lower-*.f64
3 386×lower-*.f32
1 864×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102692
1272688
2860671
32324670
45124670
08187637
Stop Event
iter limit
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) (- (* (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 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 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2 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) (- (* (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)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 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))
(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 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* -2/7 (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -2/7 binary64))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/7 (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -2/7 binary64))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
-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))
(* -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)

rewrite284.0ms (3.7%)

Memory
12.9MiB live, 322.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 952×lower-fma.f32
5 946×lower-fma.f64
4 914×lower-*.f32
4 908×lower-*.f64
3 846×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01782
02682
112980
2103580
0848276
Stop Event
iter limit
node limit
iter limit
Counts
6 → 223
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.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)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.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)))) (*.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.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)))))) (*.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)))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(-.f64 (/.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.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)))))) (*.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 (*.f64 (*.f64 eps eps) #s(literal 4 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)))))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.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)))))) (/.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.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)))))) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.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 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.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 (*.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))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) (*.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))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (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 (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.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))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps eps) (*.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 (*.f64 eps (*.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)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.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)))))) (/.f64 #s(literal 1 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)))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (/.f64 eps eps) (/.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 (*.f64 (*.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))) (*.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)))) (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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 (*.f64 (*.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))) (*.f64 (*.f64 eps eps) (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.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))) eps) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.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)))) eps) (/.f64 (*.f64 (*.f64 eps eps) (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.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))) eps) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (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 (*.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 (*.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))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
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(*.f64 (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)

eval53.0ms (0.7%)

Memory
-23.8MiB live, 56.3MiB allocated
Compiler

Compiled 14 455 to 1 029 computations (92.9% saved)

prune61.0ms (0.8%)

Memory
11.5MiB live, 50.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2950295
Fresh000
Picked011
Done066
Total2957302
Accuracy
100.0%
Counts
302 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.7%
#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))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.2%
#s(literal 0 binary64)
Compiler

Compiled 160 to 80 computations (50% 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) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.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
99.8%1eps
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory
-26.8MiB live, 11.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

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

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

2.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.7%1eps
99.7%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%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
9.1MiB live, 9.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
Calls

3 calls:

2.0ms
eps
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
1.0ms
(log.f64 (/.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)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Calls

3 calls:

2.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.3%1eps
99.3%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes22.0ms (0.3%)

Memory
-45.8MiB live, 7.1MiB 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:

20.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
eps
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
5.2%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.2%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
5.2%1eps
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036108
148108
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.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))))
#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)

soundness725.0ms (9.4%)

Memory
40.7MiB live, 387.6MiB allocated
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
4 642×lower-/.f64
4 642×lower-/.f32
4 568×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
089295
1220282
2488274
31301270
42859270
56046270
08576258
030188
052188
1217188
21495188
08274180
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 118 to 57 computations (51.7% saved)

preprocess67.0ms (0.9%)

Memory
-12.0MiB live, 104.3MiB allocated
Compiler

Compiled 170 to 72 computations (57.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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