logq (problem 3.4.3)

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (28.1%)

Memory
46.5MiB live, 2 179.7MiB allocated
Samples
1.3s3 066×2valid
900.0ms4 889×1valid
19.0ms301×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-log: 1.2s (62.2% of total)
adjust: 193.0ms (10.1% of total)
ival-sub: 156.0ms (8.2% of total)
ival-div: 151.0ms (7.9% of total)
ival-add: 93.0ms (4.9% of total)
ival-fabs: 63.0ms (3.3% of total)
ival-<: 56.0ms (2.9% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain199.0ms (2.2%)

Memory
4.9MiB live, 400.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-2(0.005250033132600688)(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)))sensitivity2512
Confusion
Predicted +Predicted -
+2512
-03
Precision
1.0
Recall
0.9920948616600791
Confusion?
Predicted +Predicted MaybePredicted -
+25120
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms190×2valid
69.0ms298×1valid
2.0ms24×0valid
Compiler

Compiled 59 to 22 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-log: 67.0ms (57.7% of total)
ival-div: 19.0ms (16.4% of total)
adjust: 13.0ms (11.2% of total)
ival-add: 10.0ms (8.6% of total)
ival-sub: 7.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess34.0ms (0.4%)

Memory
-24.0MiB live, 59.3MiB 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)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (0.2%)

Memory
-0.6MiB live, 35.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize125.0ms (1.4%)

Memory
1.5MiB live, 157.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) eps)
accuracy0
(+.f64 #s(literal 1 binary64) eps)
accuracy0.03125
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy57.98902689535415
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
60.0ms149×1valid
38.0ms95×2valid
1.0ms12×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-log: 68.0ms (78.1% of total)
adjust: 6.0ms (6.9% of total)
ival-sub: 5.0ms (5.7% of total)
ival-div: 4.0ms (4.6% of total)
ival-add: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 eps)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* 2 eps) 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 eps) (taylor 0 eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ 1 eps))) (taylor -inf eps) (#s(alt (+.f64 #s(literal 1 binary64) eps) (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify331.0ms (3.6%)

Memory
23.1MiB live, 263.7MiB 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))

rewrite278.0ms (3%)

Memory
-68.1MiB live, 295.0MiB allocated
Rules
2 220×lower-fma.f64
2 220×lower-fma.f32
2 058×lower-*.f64
2 058×lower-*.f32
1 842×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
Stop Event
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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) eps))
(+.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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (/.f64 (*.f64 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(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) (fma.f64 eps eps (+.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 (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 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (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))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) 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 (fma.f64 eps eps (+.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 (/.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (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))))
(fma.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 (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (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)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #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) (*.f64 eps eps))) (+.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 (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (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 (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps (fma.f64 eps eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 (-.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 eps eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) eps))
(pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 eps eps (+.f64 #s(literal 1 binary64) eps))))

eval43.0ms (0.5%)

Memory
34.0MiB live, 70.4MiB allocated
Compiler

Compiled 8 300 to 976 computations (88.2% saved)

prune66.0ms (0.7%)

Memory
6.8MiB live, 81.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3446350
Fresh000
Picked011
Done000
Total3447351
Accuracy
100.0%
Counts
351 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
98.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 141 to 88 computations (37.6% saved)

simplify567.0ms (6.2%)

Memory
-26.3MiB live, 569.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
cost-diff0
(*.f64 eps #s(literal -2/3 binary64))
cost-diff0
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(literal -2 binary64) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
cost-diff0
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
cost-diff0
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Rules
30 264×lower-fma.f32
30 252×lower-fma.f64
3 096×lower-+.f64
3 096×lower-+.f32
2 752×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize329.0ms (3.6%)

Memory
-9.2MiB live, 233.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
accuracy0.28515625
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
accuracy0.33203125
(*.f64 eps #s(literal -2/5 binary64))
accuracy0.5045252633080529
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
accuracy0
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
accuracy0.01171875
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
accuracy0.30078125
(*.f64 eps #s(literal -2/3 binary64))
accuracy0.7254303139454243
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
accuracy0
(*.f64 #s(literal -2 binary64) eps)
accuracy1.1713749591180966
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
accuracy0.02734375
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy0.28515625
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
accuracy0.3203125
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
accuracy0.41836090503495804
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Samples
202.0ms149×1valid
83.0ms95×2valid
3.0ms12×0valid
Compiler

Compiled 205 to 35 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 258.0ms
ival-mult: 148.0ms (57.3% of total)
ival-log: 35.0ms (13.5% of total)
ival-add: 29.0ms (11.2% of total)
adjust: 18.0ms (7% of total)
const: 15.0ms (5.8% of total)
ival-div: 9.0ms (3.5% of total)
ival-sub: 4.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(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))) (patch (*.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))) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) eps) (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -2/3 binary64)) (patch (*.f64 eps #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(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))) (patch (*.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))) #<representation binary64>) () ())
#s(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)) (patch (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (patch (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) (patch (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -2/5 (pow eps 2)) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
Calls

54 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))
0.0ms
eps
@inf
(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
0.0ms
eps
@-inf
(* eps -2/5)

simplify260.0ms (2.8%)

Memory
2.3MiB live, 327.4MiB allocated
Algorithm
egg-herbie
Rules
11 686×lower-fma.f64
11 686×lower-fma.f32
4 572×lower-*.f64
4 572×lower-*.f32
2 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341884
14011868
214601844
340601838
085521733
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
-2/5
(- (* -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)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.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)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) eps))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (fma.f64 (*.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 (/.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))))))
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(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 5))
(*.f64 #s(literal -2/5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -2/5 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/5 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 4))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -2/7 (pow eps 3))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
-2/5
#s(literal -2/5 binary64)
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(* -2/5 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))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))

rewrite423.0ms (4.6%)

Memory
15.0MiB live, 277.9MiB allocated
Rules
4 642×lower-/.f64
4 642×lower-/.f32
4 568×lower-*.f32
4 548×lower-*.f64
3 468×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030200
052200
1217200
21495200
08274192
Stop Event
iter limit
node limit
iter limit
Counts
18 → 357
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2/5 binary64))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 eps #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))))
(fma.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))) eps (*.f64 eps #s(literal -2 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/15 binary64))))))
(*.f64 (fma.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))))

eval82.0ms (0.9%)

Memory
-37.5MiB live, 129.0MiB allocated
Compiler

Compiled 18 711 to 1 638 computations (91.2% saved)

prune127.0ms (1.4%)

Memory
-8.0MiB live, 201.5MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5703573
Fresh011
Picked055
Done011
Total57010580
Accuracy
100.0%
Counts
580 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
98.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 126 to 75 computations (40.5% saved)

simplify271.0ms (2.9%)

Memory
37.6MiB live, 301.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
cost-diff1088
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
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)))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
cost-diff320
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
cost-diff0
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
cost-diff0
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
cost-diff320
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
Rules
19 416×lower-fma.f32
19 402×lower-fma.f64
2 896×lower-*.f32
2 884×lower-*.f64
2 100×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032247
056242
1123236
2283230
3612226
41235226
53163226
08024220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
(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)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(fma.f64 eps eps #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64)))
eps
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(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)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(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)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(fma.f64 eps eps #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 eps #s(literal -1 binary64))

localize296.0ms (3.2%)

Memory
-1.7MiB live, 311.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 eps #s(literal -1 binary64))
accuracy0.03125
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
accuracy0.046875
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
accuracy57.98902689535415
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
accuracy0.01171875
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
accuracy0.21875
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
accuracy0.33203125
(*.f64 eps #s(literal -2/5 binary64))
accuracy0.5045252633080529
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
accuracy0
(*.f64 eps eps)
accuracy0
(*.f64 eps #s(literal -2 binary64))
accuracy0.2109375
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy0.7254303139454243
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
accuracy0.0078125
(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))
accuracy0.02734375
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
accuracy0.28515625
(*.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)))
accuracy0.41836090503495804
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
Samples
121.0ms95×2valid
118.0ms150×1valid
3.0ms11×0valid
Compiler

Compiled 218 to 36 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-log: 71.0ms (38% of total)
ival-mult: 36.0ms (19.3% of total)
ival-add: 24.0ms (12.9% of total)
adjust: 22.0ms (11.8% of total)
const: 15.0ms (8% of total)
ival-div: 13.0ms (7% of total)
ival-sub: 4.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-33.6MiB live, 22.3MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (patch (*.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))) #<representation binary64>) () ())
#s(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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))) (patch (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (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)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (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)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (patch (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (patch (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -2/7 (pow eps 7)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -2/7 (pow eps 7)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2))))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6)))))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
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#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
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#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2/5 eps) (taylor 0 eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor 0 eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor 0 eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal -2/5 binary64)) (patch (*.f64 eps #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt -2/3 (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/5 (pow eps 2)) 2/3) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/5 (pow eps 2)) 2/3) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/5 (pow eps 2)) 2/3) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (patch (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

60 calls:

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

simplify313.0ms (3.4%)

Memory
28.1MiB live, 374.2MiB allocated
Algorithm
egg-herbie
Rules
16 682×lower-fma.f64
16 682×lower-fma.f32
4 796×lower-*.f64
4 796×lower-*.f32
3 058×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611841
14671816
214871784
341951774
086061693
Stop Event
iter limit
node limit
Counts
240 → 236
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* eps (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 5) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2 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 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (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 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/3 (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))))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -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)
-2/3
(- (* -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))))))
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
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 (*.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)))
(* -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 #s(literal -2/7 binary64) (+.f64 (/.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 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* -2 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 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) eps))
(* -2/3 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 (*.f64 eps 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 (*.f64 eps 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 #s(literal -2/7 binary64) (+.f64 (/.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 #s(literal -2/7 binary64) (+.f64 (/.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 (*.f64 eps 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 (*.f64 eps 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 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.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)))
(* (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 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
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(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/7 binary64)) #s(literal -2/5 binary64))
(* -2 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 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))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
-1
#s(literal -1 binary64)
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.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
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))

rewrite327.0ms (3.6%)

Memory
-6.8MiB live, 348.9MiB allocated
Rules
6 266×lower-fma.f32
6 252×lower-fma.f64
4 896×lower-*.f32
4 884×lower-*.f64
4 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
056211
1254195
22024195
08870181
Stop Event
iter limit
node limit
iter limit
Counts
20 → 869
Calls
Call 1
Inputs
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
(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)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
(*.f64 eps #s(literal -2 binary64))
(*.f64 eps #s(literal -2/5 binary64))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(+.f64 eps #s(literal -1 binary64))
Outputs
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))
(+.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (-.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))) #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 eps (-.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))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))
(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 (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 (*.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) eps (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(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 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.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))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -2 binary64)) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.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))) #s(literal -2 binary64))) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))) (*.f64 eps (-.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))) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (*.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))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps #s(literal -2 binary64)) (-.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 eps (-.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))) #s(literal -2 binary64))) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))) (*.f64 eps (-.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))) #s(literal -2 binary64)))))))
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eval164.0ms (1.8%)

Memory
38.1MiB live, 225.3MiB allocated
Compiler

Compiled 33 780 to 3 529 computations (89.6% saved)

prune250.0ms (2.7%)

Memory
-15.0MiB live, 299.5MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1 22011 221
Fresh000
Picked134
Done066
Total1 221101 231
Accuracy
100.0%
Counts
1 231 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
9.3%
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
98.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 126 to 75 computations (40.5% saved)

simplify265.0ms (2.9%)

Memory
15.1MiB live, 254.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))
cost-diff576
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))
Rules
16 650×lower-fma.f32
16 648×lower-fma.f64
2 928×lower--.f32
2 926×lower--.f64
2 254×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0945
01645
13445
27639
317935
464535
5330435
6761535
0811034
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 eps eps #s(literal -1 binary64))
Outputs
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 eps eps #s(literal -1 binary64))

localize103.0ms (1.1%)

Memory
-8.7MiB live, 111.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 eps #s(literal -1 binary64))
accuracy0.00390625
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))
accuracy0.04296875
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))
accuracy57.98902689535415
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
Samples
52.0ms95×2valid
31.0ms149×1valid
1.0ms12×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-log: 35.0ms (50.6% of total)
adjust: 13.0ms (18.8% of total)
ival-mult: 6.0ms (8.7% of total)
ival-add: 5.0ms (7.2% of total)
ival-div: 4.0ms (5.8% of total)
ival-sub: 4.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 eps)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* 2 eps) 2))) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2))) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2)))) (taylor inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1) (taylor -inf eps) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 eps) 1) (taylor 0 eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* eps (+ 2 (* -1 eps))) 1) (taylor 0 eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* eps (+ 2 (* -1 eps))) 1) (taylor 0 eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) (taylor inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2))))) (taylor inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* 2 (/ 1 eps)) 1)) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1)) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1)) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)) (taylor 0 eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))) (taylor inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (* 2 (/ 1 eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) (patch (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 eps)) (taylor 0 eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (/ 1 eps) 1)) (taylor inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 eps) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (-.f64 #s(literal 1 binary64) eps) (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- eps 1) (taylor 0 eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (/ 1 eps))) (taylor inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (/ 1 eps) 1))) (taylor -inf eps) (#s(alt (+.f64 eps #s(literal -1 binary64)) (patch (+.f64 eps #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify224.0ms (2.4%)

Memory
24.6MiB live, 286.8MiB allocated
Algorithm
egg-herbie
Rules
13 142×lower-fma.f64
13 142×lower-fma.f32
3 584×lower-*.f64
3 584×lower-*.f32
2 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102375
1255356
2605348
31350336
44271336
57555336
08135317
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
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
(- (* 2 eps) 1)
(- (* eps (+ 2 (* -1 eps))) 1)
(- (* eps (+ 2 (* -1 eps))) 1)
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1))
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2)))))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1))
(* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1))
(* -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 (* -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
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
Outputs
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))))
(fma.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 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))
(- (* -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)
(fma.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 eps) 1)
(fma.f64 eps #s(literal 2 binary64) #s(literal -1 binary64))
(- (* eps (+ 2 (* -1 eps))) 1)
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(- (* eps (+ 2 (* -1 eps))) 1)
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1))
(*.f64 eps (-.f64 #s(literal 2 binary64) eps))
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2)))))
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(* (pow eps 2) (- (* 2 (/ 1 eps)) (+ 1 (/ 1 (pow eps 2)))))
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (* 2 (/ 1 eps)) 1))
(*.f64 eps (-.f64 #s(literal 2 binary64) eps))
(* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1))
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(* (pow eps 2) (- (* -1 (/ (- (/ 1 eps) 2) eps)) 1))
(fma.f64 eps (-.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (fma.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.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)))
(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)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps))) eps)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps))
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)
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.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
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))
(* -1 (* eps (- (/ 1 eps) 1)))
(+.f64 eps #s(literal -1 binary64))

rewrite214.0ms (2.3%)

Memory
1.3MiB live, 319.5MiB allocated
Rules
5 718×lower-fma.f32
5 716×lower-fma.f64
3 484×lower-*.f32
3 482×lower-*.f64
3 372×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
01638
17828
266327
0820725
Stop Event
iter limit
node limit
iter limit
Counts
5 → 758
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal -1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (neg.f64 eps) eps)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 eps (neg.f64 eps) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (fma.f64 eps (neg.f64 eps) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 eps (neg.f64 eps) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))
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(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(*.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (-.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))) (-.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (-.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))

eval117.0ms (1.3%)

Memory
-18.3MiB live, 179.8MiB allocated
Compiler

Compiled 22 105 to 2 761 computations (87.5% saved)

prune140.0ms (1.5%)

Memory
36.5MiB live, 153.6MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New8160816
Fresh000
Picked011
Done099
Total81610826
Accuracy
100.0%
Counts
826 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
9.3%
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
99.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
98.9%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
98.2%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 256 to 119 computations (53.5% saved)

regimes38.0ms (0.4%)

Memory
-44.4MiB live, 11.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps eps #s(literal -1 binary64))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
Calls

3 calls:

31.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
4.0ms
eps
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.3%1eps
99.3%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

3.0ms
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
99.3%1eps
99.3%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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
99.2%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)

regimes6.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
Calls

3 calls:

2.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.2%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)

regimes5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
Calls

3 calls:

2.0ms
eps
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
98.9%1eps
98.9%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes25.0ms (0.3%)

Memory
-33.2MiB live, 5.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Calls

3 calls:

2.0ms
eps
1.0ms
(/.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
98.2%1eps
98.2%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
98.2%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
4.9MiB live, 4.9MiB 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
(/.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
5.4%1eps
5.4%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.4%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039132
152132
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) (*.f64 eps eps) (*.f64 eps #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (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))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(literal 0 binary64)

soundness819.0ms (8.9%)

Memory
5.7MiB live, 232.1MiB allocated
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
4 642×lower-/.f64
4 642×lower-/.f32
4 568×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
030200
052200
1217200
21495200
08274192
089295
1220282
2488274
31301270
42859270
56046270
08576258
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 163 to 77 computations (52.8% saved)

preprocess76.0ms (0.8%)

Memory
-0.3MiB live, 77.6MiB allocated
Compiler

Compiled 202 to 76 computations (62.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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