logq (problem 3.4.3)

Time bar (total: 7.5s)

analyze3.0ms (0%)

Memory
6.4MiB live, 6.4MiB 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)

sample3.1s (40.7%)

Memory
-101.9MiB live, 3 380.4MiB allocated
Samples
1.6s3 054×2valid
907.0ms4 908×1valid
19.0ms294×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-log: 1.3s (63.7% of total)
adjust: 208.0ms (10.4% of total)
ival-div: 164.0ms (8.2% of total)
ival-sub: 131.0ms (6.5% of total)
ival-add: 119.0ms (5.9% of total)
ival-fabs: 75.0ms (3.7% of total)
ival-<: 21.0ms (1% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess32.0ms (0.4%)

Memory
30.4MiB live, 30.4MiB 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)))

explain291.0ms (3.9%)

Memory
-8.9MiB live, 223.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(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)))sensitivity2530
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
142.0ms200×2valid
80.0ms298×1valid
1.0ms14×0valid
Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-log: 132.0ms (69.3% of total)
ival-div: 33.0ms (17.3% of total)
adjust: 12.0ms (6.3% of total)
ival-sub: 7.0ms (3.7% of total)
ival-add: 6.0ms (3.2% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify26.0ms (0.3%)

Memory
-10.4MiB live, 24.8MiB 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)

localize87.0ms (1.2%)

Memory
17.5MiB live, 109.0MiB 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))
accuracy7.7%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
39.0ms100×2valid
38.0ms149×1valid
0.0ms0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 49.0ms (73.8% of total)
adjust: 6.0ms (9% of total)
ival-div: 4.0ms (6% of total)
ival-sub: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-30.7MiB live, 5.9MiB 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
27.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
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))

rewrite252.0ms (3.4%)

Memory
13.6MiB live, 205.8MiB 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)))))
(+.f64 (*.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)))) (*.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 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (*.f64 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) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.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) (fma.f64 eps eps eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.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)))))
(fma.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)))))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.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))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.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))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (neg.f64 eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.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)))
(fma.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)))
(fma.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))
(fma.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)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
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(*.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))))

simplify292.0ms (3.9%)

Memory
7.9MiB live, 489.2MiB 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))

eval50.0ms (0.7%)

Memory
13.6MiB live, 124.6MiB allocated
Compiler

Compiled 8 254 to 976 computations (88.2% saved)

prune47.0ms (0.6%)

Memory
-14.3MiB live, 143.8MiB 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
99.9%
(*.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%
(*.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%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
99.2%
(*.f64 #s(literal -2 binary64) eps)
7.6%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 105 to 70 computations (33.3% saved)

simplify37.0ms (0.5%)

Memory
30.1MiB live, 112.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
cost-diff0
(*.f64 eps #s(literal -2/3 binary64))
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) eps)
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
Rules
1 312×lower-fma.f32
1 300×lower-fma.f64
402×lower-*.f32
382×lower-*.f64
350×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022151
044151
1102151
2193151
3411151
4785151
51055151
61076151
71079151
01079151
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
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)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
(*.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)
(*.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
(*.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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(fma.f64 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))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(*.f64 eps eps)
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
eps
(*.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)
(*.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)

localize88.0ms (1.2%)

Memory
-23.2MiB live, 203.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
accuracy100.0%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
accuracy99.5%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
accuracy99.4%
(*.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%
(*.f64 eps #s(literal -2/3 binary64))
accuracy100.0%
(*.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)))
accuracy100.0%
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy99.5%
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
accuracy99.5%
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
Samples
62.0ms256×0valid
Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 31.0ms (64% of total)
const: 11.0ms (22.7% of total)
ival-add: 6.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-9.3MiB live, 29.8MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 eps #s(literal -2/3 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))>
#<alt (*.f64 eps #s(literal -2/5 binary64))>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt -2/5>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (- (* -2/7 (pow eps 2)) 2/5)>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
Calls

45 calls:

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

rewrite653.0ms (8.7%)

Memory
-11.6MiB live, 620.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 936×lower-fma.f32
6 924×lower-fma.f64
4 980×lower-*.f32
4 960×lower-*.f64
3 996×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021133
043133
1176133
21181133
08337133
Stop Event
iter limit
node limit
iter limit
Counts
15 → 511
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2/5 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(+.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 (*.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)) (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 (*.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 #s(literal 2 binary64) eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (fma.f64 eps (*.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))) (*.f64 #s(literal 2 binary64) eps))))
(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 (*.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)))
(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 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal 1 binary64)))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal -8/343 binary64)) (*.f64 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(literal -512/1953125 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal 64/15625 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 64/42875 binary64)))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/35 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (fma.f64 (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))) (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64)))) (*.f64 (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))) (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal 2/5 binary64))) (/.f64 #s(literal -4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64)))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(*.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 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

simplify469.0ms (6.3%)

Memory
31.2MiB live, 466.0MiB allocated
Algorithm
egg-herbie
Rules
12 460×lower-fma.f64
12 460×lower-fma.f32
4 656×lower-*.f64
4 656×lower-*.f32
2 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01191512
13671512
214211482
340311476
085161388
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/7 (pow eps 6))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -2/7 (pow eps 5))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
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eval107.0ms (1.4%)

Memory
-11.4MiB live, 184.7MiB allocated
Compiler

Compiled 25 598 to 2 305 computations (91% saved)

prune68.0ms (0.9%)

Memory
2.7MiB live, 126.3MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New6892691
Fresh000
Picked055
Done011
Total6898697
Accuracy
100.0%
Counts
697 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
99.7%
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
99.9%
(*.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%
(*.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%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
99.2%
(*.f64 #s(literal -2 binary64) eps)
7.6%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 94 to 59 computations (37.2% saved)

simplify34.0ms (0.5%)

Memory
6.1MiB live, 44.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 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 eps)
cost-diff0
(*.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)))
cost-diff320
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff320
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
Rules
1 312×lower-fma.f32
1 302×lower-fma.f64
402×lower-*.f32
392×lower-*.f64
256×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015107
030107
173105
2206105
3491105
4735105
5816105
6823105
0823103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps eps)
eps
(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)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(*.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)))
(*.f64 eps 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))
(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
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps eps)
eps
(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)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.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)))
(*.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 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))
(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) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
#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)

localize71.0ms (0.9%)

Memory
-23.0MiB live, 95.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 eps eps)
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))
accuracy99.7%
(*.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)))
accuracy100.0%
(*.f64 eps #s(literal -2 binary64))
accuracy100.0%
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
accuracy99.7%
(*.f64 (*.f64 eps 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))
Samples
43.0ms256×0valid
Compiler

Compiled 121 to 22 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 14.0ms (49.4% of total)
const: 8.0ms (28.2% of total)
ival-add: 5.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))>
#<alt (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))>
#<alt (*.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)))>
#<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 (*.f64 eps #s(literal -2/5 binary64))>
#<alt (*.f64 eps #s(literal -2 binary64))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #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) (- (* -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 (* -2/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2 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 (* -2/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<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 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<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 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<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 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)>
#<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 -2/5>
#<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))))))>
Calls

30 calls:

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

rewrite367.0ms (4.9%)

Memory
-18.9MiB live, 660.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 858×lower-fma.f32
8 848×lower-fma.f64
5 410×lower-*.f32
5 400×lower-*.f64
3 454×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01592
03092
113690
2107590
0819588
Stop Event
iter limit
node limit
iter limit
Counts
10 → 437
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps eps)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(*.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)))
(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 -2/5 binary64))
(*.f64 eps #s(literal -2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))
(+.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps 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)))) (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 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))))))
(+.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))))
(+.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))) eps)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps))
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(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (neg.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))))
(fma.f64 (*.f64 eps #s(literal -2/7 binary64)) eps #s(literal -2/5 binary64))
(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)) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/35 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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))))
(neg.f64 (/.f64 (neg.f64 (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 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/25 binary64)) (*.f64 (*.f64 eps eps) #s(literal -4/35 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 (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 eps eps) (*.f64 (*.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)) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/35 binary64)))))
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 (neg.f64 (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 eps eps) (*.f64 (*.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 (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 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/35 binary64)))) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))) (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))))))
(/.f64 (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)))) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (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)) #s(literal 4/25 binary64))) (*.f64 (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 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))) (*.f64 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(literal -512/1953125 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal 64/15625 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 64/42875 binary64)))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal -64/15625 binary64)) #s(literal 1 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)) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 #s(literal 64/117649 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal -64/15625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 16/2401 binary64) (+.f64 #s(literal 16/625 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 16/1225 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 16/2401 binary64) #s(literal -16/625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 (neg.f64 (neg.f64 (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 (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))))) (neg.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (fma.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))) (*.f64 (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -1 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)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal 4/35 binary64))))))
(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal 2/5 binary64))))
(*.f64 (neg.f64 (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) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.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 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64)) #s(literal -4/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/7 binary64) #s(literal -2/5 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(*.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 (*.f64 eps eps) #s(literal 2/7 binary64)))))

simplify290.0ms (3.9%)

Memory
20.6MiB live, 378.8MiB allocated
Algorithm
egg-herbie
Rules
10 730×lower-fma.f64
10 730×lower-fma.f32
4 022×lower-*.f64
4 022×lower-*.f32
2 064×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094980
1270980
2955960
32722956
46065956
08110906
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2 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))))))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -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 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -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 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
-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 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)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
-2/5
(- (* -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))))))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/5 (pow eps 5))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 5))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(* -2/3 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/3 binary64)))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.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 eps (*.f64 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 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (+.f64 #s(literal 2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* -2/3 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/3 binary64)))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.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)))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.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)))
(* -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 (/ (+ 2/5 (* 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)))
(* -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 (/ (+ 2/5 (* 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)))
-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 (*.f64 eps 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 (*.f64 eps 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))
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.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))
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps)))
(* -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))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
-2/5
#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))

eval89.0ms (1.2%)

Memory
7.9MiB live, 123.5MiB allocated
Compiler

Compiled 24 077 to 1 748 computations (92.7% saved)

prune61.0ms (0.8%)

Memory
-18.9MiB live, 100.4MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New6250625
Fresh000
Picked022
Done066
Total6258633
Accuracy
100.0%
Counts
633 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
99.7%
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
99.9%
(*.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%
(*.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%
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
99.2%
(*.f64 #s(literal -2 binary64) eps)
7.6%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 181 to 92 computations (49.2% saved)

regimes8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #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 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Outputs
(fma.f64 (*.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))) 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
99.9%1eps
99.9%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.9%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #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 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
Outputs
(*.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:

2.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.9%1eps
99.9%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.9%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #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 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
Outputs
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #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)

regimes8.0ms (0.1%)

Memory
-30.2MiB live, 8.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #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)))
Outputs
(*.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:

4.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms
eps
1.0ms
(/.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
7.7MiB live, 7.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
Outputs
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
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
99.5%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
6.7MiB live, 6.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
Outputs
(*.f64 #s(literal -2 binary64) eps)
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
99.2%1eps
99.2%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
5.3%1eps
5.3%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.3%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02878
13878
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
#s(literal 0 binary64)
Outputs
(fma.f64 (*.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))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal 0 binary64)

soundness834.0ms (11.1%)

Memory
-12.2MiB live, 333.9MiB allocated
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
6 936×lower-fma.f32
6 924×lower-fma.f64
4 980×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
089295
1220282
2488274
31301270
42859270
56046270
08576258
021133
043133
1176133
21181133
08337133
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 154 to 69 computations (55.2% saved)

preprocess86.0ms (1.2%)

Memory
4.6MiB live, 85.9MiB allocated
Compiler

Compiled 190 to 76 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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