logq (problem 3.4.3)

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.8%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (32.9%)

Memory
40.6MiB live, 2 724.0MiB allocated
Samples
1.5s3 181×2valid
946.0ms4 772×1valid
21.0ms303×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-log: 1.3s (60.6% of total)
adjust: 270.0ms (12.4% of total)
ival-add: 173.0ms (8% of total)
ival-div: 153.0ms (7% of total)
ival-sub: 132.0ms (6.1% of total)
ival-fabs: 92.0ms (4.2% of total)
ival-<: 27.0ms (1.2% of total)
exact: 7.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain188.0ms (2.2%)

Memory
-19.4MiB live, 185.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-eps
00-0-#s(literal 1 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
00-0-(-.f64 #s(literal 1 binary64) eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))sensitivity2530
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms180×2valid
52.0ms308×1valid
2.0ms24×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-log: 64.0ms (64.4% of total)
adjust: 11.0ms (11.1% of total)
ival-div: 9.0ms (9.1% of total)
ival-add: 7.0ms (7% of total)
ival-sub: 7.0ms (7% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess26.0ms (0.3%)

Memory
18.8MiB live, 18.8MiB allocated
Algorithm
egg-herbie
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)))
(log.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (0.2%)

Memory
-36.6MiB live, 5.2MiB 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)))
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)))
(log.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))

localize71.0ms (0.8%)

Memory
13.9MiB live, 50.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) eps)
accuracy0
(+.f64 #s(literal 1 binary64) eps)
accuracy0.02734375
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy57.960153755167354
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
37.0ms90×2valid
26.0ms154×1valid
1.0ms12×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 34.0ms (65.5% of total)
adjust: 6.0ms (11.6% of total)
ival-div: 4.0ms (7.7% of total)
ival-sub: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
4.2MiB live, 4.2MiB 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 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 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 (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 (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 -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 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 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 (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 -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 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 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

3 calls:

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

simplify151.0ms (1.7%)

Memory
16.6MiB live, 89.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089295
1220282
2488274
31298270
42829270
56030270
08583258
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))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
-1
(- (* 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 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 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
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 eps #s(literal -2 binary64) #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
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
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) 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 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) 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)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) 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)
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)

rewrite119.0ms (1.4%)

Memory
-0.0MiB live, 116.9MiB allocated
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
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eval62.0ms (0.7%)

Memory
-25.3MiB live, 66.1MiB allocated
Compiler

Compiled 7 265 to 1 010 computations (86.1% saved)

prune10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3437350
Fresh000
Picked011
Done000
Total3438351
Accuracy
100.0%
Counts
351 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
9.4%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.4%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
98.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 182 to 118 computations (35.2% saved)

simplify375.0ms (4.3%)

Memory
1.5MiB live, 197.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
cost-diff0
(*.f64 eps #s(literal -2 binary64))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026200
043200
178200
2138200
3294200
4660200
5969200
61022200
71265200
81638200
91978200
102187200
114276200
126107200
136729200
146772200
156772200
166794200
176870200
186870200
196870200
08012200
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
(*.f64 eps eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps #s(literal -2 binary64))
eps
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
(*.f64 eps eps)
eps
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 eps #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) eps)
eps
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/5 binary64)
(*.f64 eps eps)
eps
#s(literal -2/3 binary64)
#s(literal -2 binary64)

localize196.0ms (2.2%)

Memory
16.9MiB live, 247.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 eps eps)
accuracy0.015625
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
accuracy0.01953125
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy0.36657685606145995
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
accuracy0
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
accuracy0
(*.f64 eps eps)
accuracy0.01953125
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
accuracy0.4436373274595921
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
accuracy0
(*.f64 eps #s(literal -2 binary64))
accuracy0.856194881077052
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
accuracy0.01171875
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
accuracy0.01953125
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
accuracy0.2909211764166611
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
Samples
94.0ms154×1valid
77.0ms90×2valid
3.0ms12×0valid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 36.0ms (25.7% of total)
ival-log: 33.0ms (23.5% of total)
adjust: 21.0ms (15% of total)
ival-add: 20.0ms (14.3% of total)
const: 16.0ms (11.4% of total)
ival-sub: 9.0ms (6.4% of total)
ival-div: 5.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-35.7MiB live, 12.0MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal -2 binary64)) (patch (*.f64 eps #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) (patch (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<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 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 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 #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 (pow eps 2)) 2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))) (taylor -inf eps) (#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 5)) (taylor -inf eps) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4)))))) (taylor -inf eps) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) (patch (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 4)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/5 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #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 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #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 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #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 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2/7 (pow eps 2)) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2)))))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))
2.0ms
eps
@-inf
((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))
2.0ms
eps
@0
((log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (* eps eps)) -2) (+ (* (+ (* -2/7 (* eps eps)) -2/5) (* eps eps)) -2/3) (log (/ (- 1 eps) (+ 1 eps))) (* eps -2) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) eps) (+ (* (+ (* -2/5 (* eps eps)) -2/3) (* eps eps)) -2) (+ (* -2/5 (* eps eps)) -2/3) (+ (* -2/7 (* eps eps)) -2/5))

simplify136.0ms (1.6%)

Memory
39.1MiB live, 113.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211652
13531636
212411610
335451606
474811606
080401519
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2 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
(- (* -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)
-2/3
(- (* -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 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 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))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -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
(- (* -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)
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
-2/5
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(- (* -2/7 (pow eps 2)) 2/5)
(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)))
(* -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 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 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))
(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)))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(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)))
(* -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 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))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 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)))
(* -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 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 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))))))
(* -2/7 (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))))))
(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)))
(* -2/7 (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))))))))
(* -2/7 (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 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))
(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)
(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 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 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))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(* -2/5 (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))))))
(* -2/5 (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 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))))))
(* -2/7 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64) #s(literal -2 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 (fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
-2/5
#s(literal -2/5 binary64)
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 binary64))
(- (* -2/7 (pow eps 2)) 2/5)
(fma.f64 (*.f64 #s(literal -2/7 binary64) eps) eps #s(literal -2/5 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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/7 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64)))
(* -2/7 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 6) (- (* -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 6 binary64)) (-.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) eps) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(* -2/7 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/7 binary64))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps) eps) #s(literal 2/7 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps) eps) #s(literal 2/7 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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (/.f64 #s(literal -2 binary64) eps) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -2/5 (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -2/5 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/5 binary64))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(*.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) eps)) eps) eps) #s(literal 2/5 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* -2/5 (pow eps 2))
(*.f64 #s(literal -2/5 binary64) (*.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 #s(literal -2/5 binary64) eps) eps #s(literal -2/3 binary64))
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rewrite309.0ms (3.5%)

Memory
-2.5MiB live, 156.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025179
042179
1177179
21283179
08279171
Stop Event
iter limit
node limit
iter limit
Counts
15 → 361
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
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(fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
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#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
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Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval117.0ms (1.3%)

Memory
2.5MiB live, 161.3MiB allocated
Compiler

Compiled 16 471 to 2 141 computations (87% saved)

prune67.0ms (0.8%)

Memory
-32.0MiB live, 52.6MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New6501651
Fresh022
Picked055
Done011
Total6509659
Accuracy
100.0%
Counts
659 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
9.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
9.4%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.4%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
98.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 106 to 70 computations (34% saved)

simplify176.0ms (2%)

Memory
25.4MiB live, 134.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))
cost-diff0
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
cost-diff13824
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
cost-diff320
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
cost-diff320
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)))
cost-diff576
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
cost-diff1216
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
cost-diff320
(fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030208
048214
193214
2253165
3948154
44668136
09063132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
(fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps 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 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))
(*.f64 eps eps)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
#s(literal 3 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) eps)
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
(fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
eps
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.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)))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 (neg.f64 eps) eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))
(*.f64 (fma.f64 eps eps eps) (neg.f64 eps))
(*.f64 eps eps)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(fma.f64 eps eps #s(literal -1 binary64))
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
#s(literal 3 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))

localize294.0ms (3.4%)

Memory
-35.4MiB live, 425.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))
accuracy0.03515625
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))
accuracy0.041347509768442016
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))
accuracy57.960153755167354
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
accuracy0.0234375
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))
accuracy0.02734375
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
accuracy0.0390625
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
accuracy57.960153755167354
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
accuracy0
(*.f64 eps eps)
accuracy0
(*.f64 #s(literal -2 binary64) eps)
accuracy0.1875
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
accuracy0.4436373274595921
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
Samples
142.0ms90×2valid
118.0ms156×1valid
3.0ms10×0valid
Compiler

Compiled 200 to 30 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-log: 122.0ms (55.5% of total)
ival-mult: 27.0ms (12.3% of total)
ival-div: 19.0ms (8.6% of total)
adjust: 18.0ms (8.2% of total)
ival-sub: 11.0ms (5% of total)
ival-pow: 7.0ms (3.2% of total)
ival-pow2: 6.0ms (2.7% of total)
const: 4.0ms (1.8% of total)
ival-add: 4.0ms (1.8% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))) (patch #s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (patch (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.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 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (patch (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps 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 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (patch (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))) (patch (log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)) (patch (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) eps) (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.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 eps eps)) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 eps) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (- (* -2/3 (pow eps 2)) 2)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps)))) (taylor -inf eps) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))) (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)) (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (log (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps))) (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps)) (pow (- 1 eps) 3) (* -2 eps) (log (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))))) (* (- -1 eps) (* eps eps)) (pow (- 1 eps) 2))
2.0ms
eps
@0
((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))) (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)) (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (log (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps))) (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps)) (pow (- 1 eps) 3) (* -2 eps) (log (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))))) (* (- -1 eps) (* eps eps)) (pow (- 1 eps) 2))
2.0ms
eps
@-inf
((+ (* (* -2/3 (* eps eps)) eps) (* -2 eps)) (log (/ (- 1 eps) (+ 1 eps))) (* -2/3 (* eps eps)) (* eps eps) (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))) (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps)) (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (log (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps))) (/ (/ (pow (- 1 eps) 3) (pow (- 1 eps) 2)) (+ 1 eps)) (pow (- 1 eps) 3) (* -2 eps) (log (/ (- 1 eps) (/ (- (- -1 eps) (* (- -1 eps) (* eps eps))) (* (- -1 eps) (- 1 eps))))) (* (- -1 eps) (* eps eps)) (pow (- 1 eps) 2))

simplify160.0ms (1.8%)

Memory
-1.0MiB live, 121.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01831304
15081266
214661240
341411201
083001132
Stop Event
iter limit
node limit
Counts
192 → 190
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/3 (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)
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
-1
(- (* -1 eps) 1)
(- (* eps (- eps 1)) 1)
(- (* eps (- (* eps (+ 1 eps)) 1)) 1)
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 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))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
1
(+ 1 (* -3 eps))
(+ 1 (* eps (- (* 3 eps) 3)))
(+ 1 (* eps (- (* eps (+ 3 (* -1 eps))) 3)))
(* -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))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* -1 eps) 1))
(* (pow eps 2) (- (* -1 eps) 1))
(* (pow eps 2) (- (* -1 eps) 1))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- eps 2)))
(+ 1 (* eps (- 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))))))
(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)))
(* -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)
-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))))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 eps)))
(* (pow eps 3) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
-1
(- (* 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 (pow eps 3))
(* (pow eps 3) (- (* 3 (/ 1 eps)) 1))
(* (pow eps 3) (- (* 3 (/ 1 eps)) (+ 1 (/ 3 (pow eps 2)))))
(* (pow eps 3) (- (+ (* 3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1 (/ 3 (pow eps 2)))))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(* -1 (pow eps 3))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(* -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))))))
(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))
(pow eps 2)
(pow eps 2)
(pow eps 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)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 eps)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1)))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 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
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(* -1 (pow eps 3))
(* -1 (* (pow eps 3) (- 1 (* 3 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 eps))) eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 eps)) eps))) eps)))))
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 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 (pow eps 3))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
Outputs
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 eps #s(literal -2 binary64) #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
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))
-1
#s(literal -1 binary64)
(- (* -1 eps) 1)
(-.f64 #s(literal -1 binary64) eps)
(- (* eps (- eps 1)) 1)
(fma.f64 (-.f64 eps #s(literal 1 binary64)) eps #s(literal -1 binary64))
(- (* eps (- (* eps (+ 1 eps)) 1)) 1)
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
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)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 eps #s(literal -2 binary64) #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 eps))
(fma.f64 #s(literal -3 binary64) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* 3 eps) 3)))
(fma.f64 (fma.f64 #s(literal 3 binary64) eps #s(literal -3 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 3 (* -1 eps))) 3)))
(fma.f64 (fma.f64 (-.f64 #s(literal 3 binary64) eps) eps #s(literal -3 binary64)) eps #s(literal 1 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* -1 (pow eps 2))
(*.f64 (neg.f64 eps) eps)
(* (pow eps 2) (- (* -1 eps) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* (pow eps 2) (- (* -1 eps) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* (pow eps 2) (- (* -1 eps) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 eps #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* eps (- eps 2)))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- eps 2)))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) 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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) 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 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
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))
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(* (pow eps 3) (+ 1 (/ 1 eps)))
(*.f64 (fma.f64 eps eps eps) eps)
(* (pow eps 3) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2))))
(*.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) eps #s(literal -1 binary64)) eps)
(* (pow eps 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps))))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* -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)
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) 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 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* 3 (/ 1 eps)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* 3 (/ 1 eps)) (+ 1 (/ 3 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (-.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 3 binary64) eps) #s(literal 3 binary64))))
(* (pow eps 3) (- (+ (* 3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1 (/ 3 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (-.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 3 binary64) eps) #s(literal 3 binary64))) #s(literal 1 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) eps))
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(*.f64 (-.f64 eps #s(literal 2 binary64)) eps)
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))
(* -2/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) 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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) eps) (log.f64 #s(literal -1 binary64)))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(* -2/3 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(pow eps 2)
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(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
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))
(pow eps 3)
(pow.f64 eps #s(literal 3 binary64))
(* (pow eps 3) (+ 1 (/ 1 eps)))
(*.f64 (fma.f64 eps eps eps) eps)
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1)))
(*.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) eps #s(literal -1 binary64)) eps)
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1)))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(fma.f64 eps eps #s(literal -1 binary64))
(* -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)
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) eps) (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) eps))
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- 1 (* 3 (/ 1 eps)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 eps))) eps)))))
(*.f64 (*.f64 eps eps) (-.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 3 binary64) eps) #s(literal 3 binary64))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 eps)) eps))) eps)))))
(*.f64 (*.f64 eps eps) (-.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal 3 binary64))))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
(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 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) eps) (log.f64 #s(literal -1 binary64)))
(* -1 (pow eps 3))
(neg.f64 (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(* -1 (* (pow eps 3) (+ 1 (/ 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(*.f64 (-.f64 eps #s(literal 2 binary64)) eps)
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(fma.f64 (-.f64 eps #s(literal 2 binary64)) eps #s(literal 1 binary64))

rewrite220.0ms (2.5%)

Memory
1.6MiB live, 121.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030183
048163
1191156
21672156
08678146
Stop Event
iter limit
node limit
iter limit
Counts
16 → 958
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(*.f64 eps eps)
(/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps))
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) eps)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))
Outputs
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eval334.0ms (3.8%)

Memory
2.8MiB live, 189.8MiB allocated
Compiler

Compiled 35 003 to 4 492 computations (87.2% saved)

prune39.0ms (0.5%)

Memory
14.7MiB live, 53.9MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 16731 170
Fresh000
Picked213
Done066
Total1 169101 179
Accuracy
100.0%
Counts
1 179 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
9.4%
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
9.4%
(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) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.4%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
98.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 113 to 74 computations (34.5% saved)

simplify278.0ms (3.2%)

Memory
-14.4MiB live, 263.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 eps)
cost-diff0
(neg.f64 eps)
cost-diff0
(log1p.f64 (neg.f64 eps))
cost-diff0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
cost-diff0
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
cost-diff128
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
cost-diff512
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps))
cost-diff576
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
cost-diff0
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
cost-diff64
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) eps)
cost-diff320
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021172
041170
186166
2217142
3904138
44871138
08639128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.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) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps)))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)
Outputs
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(fma.f64 eps eps eps)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(fma.f64 eps eps #s(literal -1 binary64))
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps))
(fma.f64 eps eps #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(fma.f64 eps (-.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log1p.f64 (neg.f64 eps))
(neg.f64 eps)
eps
(log1p.f64 eps)

localize204.0ms (2.3%)

Memory
-0.4MiB live, 281.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 eps)
accuracy0
(log1p.f64 (neg.f64 eps))
accuracy0
(log1p.f64 eps)
accuracy0.00390625
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
accuracy0.0234375
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
accuracy0.0234375
(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)
accuracy0.03125
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy57.960153755167354
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
accuracy0.015625
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
accuracy0.0234375
(*.f64 (+.f64 #s(literal 1 binary64) eps) eps)
accuracy0.0390625
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
accuracy57.960153755167354
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
Samples
108.0ms90×2valid
71.0ms154×1valid
2.0ms12×0valid
Compiler

Compiled 186 to 24 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-log: 77.0ms (49.3% of total)
ival-mult: 26.0ms (16.6% of total)
adjust: 16.0ms (10.2% of total)
ival-sub: 13.0ms (8.3% of total)
ival-div: 12.0ms (7.7% of total)
ival-add: 7.0ms (4.5% of total)
ival-log1p: 3.0ms (1.9% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#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 (+.f64 #s(literal 1 binary64) eps) eps) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (patch (log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #<representation binary64>) () ())
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#s(alt (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (patch (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #<representation binary64>) () ())
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#s(alt (log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (patch (log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) (patch (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 eps)) (patch (log1p.f64 (neg.f64 eps)) #<representation binary64>) () ())
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#s(alt (log1p.f64 eps) (patch (log1p.f64 eps) #<representation binary64>) () ())
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#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) #<representation binary64>) () ())
Outputs
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#s(alt -1 (taylor -inf eps) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.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 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.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 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.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 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps)))) (taylor -inf eps) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) eps) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
eps
@0
((* (- -1 eps) (- 1 eps)) (* (+ 1 eps) eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps)) (log (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps))) (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)) (log (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)))) (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)) (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps))) (* (- -1 eps) eps))
2.0ms
eps
@-inf
((* (- -1 eps) (- 1 eps)) (* (+ 1 eps) eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps)) (log (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps))) (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)) (log (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)))) (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)) (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps))) (* (- -1 eps) eps))
2.0ms
eps
@inf
((* (- -1 eps) (- 1 eps)) (* (+ 1 eps) eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps)) (log (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps)))) (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps))) (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)) (log (/ (- (- -1 eps) (* (- -1 eps) eps)) (* (- -1 eps) (+ 1 eps)))) (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps)) (* (/ (- 1 eps) (+ (* (* (+ 1 eps) eps) eps) (- -1 eps))) (* (- -1 eps) (- 1 eps))) (* (- -1 eps) eps))

simplify147.0ms (1.7%)

Memory
-14.7MiB live, 216.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201323
15971277
215111222
345301189
081461110
Stop Event
iter limit
node limit
Counts
168 → 166
Calls
Call 1
Inputs
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
eps
(* eps (+ 1 eps))
(* eps (+ 1 eps))
(* eps (+ 1 eps))
-1
(- (* -1 eps) 1)
(- (* eps (- eps 1)) 1)
(- (* eps (- (* eps (+ 1 eps)) 1)) 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))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
-1
(- (* -2 eps) 1)
(- (* eps (- (* -1 eps) 2)) 1)
(- (* eps (- (* -1 eps) 2)) 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))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -1 eps)
(* eps (- (* -1/2 eps) 1))
(* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))
(* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
eps
(* eps (+ 1 (* -1/2 eps)))
(* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))
(* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(* -1 eps)
(* eps (- (* -1 eps) 1))
(* eps (- (* -1 eps) 1))
(* eps (- (* -1 eps) 1))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (+ 1 (/ 1 eps)))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 eps)))
(* (pow eps 3) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps))))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
-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))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (* 2 (/ 1 eps)))))
(* (pow eps 2) (- (* -1 (/ (+ 2 (/ 1 eps)) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ 2 (/ 1 eps)) eps)) 1))
(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 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (log (/ 1 eps))))
(- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))
(+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))
(- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (log (/ 1 eps)))
(+ (* -1 (log (/ 1 eps))) (/ 1 eps))
(- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))
(- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))
-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 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (+ 1 (/ 1 eps)))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 eps)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1)))
(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
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (* 2 (/ 1 eps)))))
(* (pow eps 2) (- (* -1 (/ (+ 2 (/ 1 eps)) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ 2 (/ 1 eps)) eps)) 1))
(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 (log -1))
(* -1 (+ (log -1) (* 2 (/ 1 eps))))
(- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))
(- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))
(* -1 (log (/ -1 eps)))
(- (* -1 (log (/ -1 eps))) (/ 1 eps))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))
(+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(+ (log -1) (* -1 (log (/ -1 eps))))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))
(+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
Outputs
-1
#s(literal -1 binary64)
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
eps
(* eps (+ 1 eps))
(fma.f64 eps eps eps)
(* eps (+ 1 eps))
(fma.f64 eps eps eps)
(* eps (+ 1 eps))
(fma.f64 eps eps eps)
-1
#s(literal -1 binary64)
(- (* -1 eps) 1)
(-.f64 #s(literal -1 binary64) eps)
(- (* eps (- eps 1)) 1)
(fma.f64 (-.f64 eps #s(literal 1 binary64)) eps #s(literal -1 binary64))
(- (* eps (- (* eps (+ 1 eps)) 1)) 1)
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) 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 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 eps) 1)
(fma.f64 #s(literal -2 binary64) eps #s(literal -1 binary64))
(- (* eps (- (* -1 eps) 2)) 1)
(fma.f64 (-.f64 #s(literal -2 binary64) eps) eps #s(literal -1 binary64))
(- (* eps (- (* -1 eps) 2)) 1)
(fma.f64 (-.f64 #s(literal -2 binary64) eps) eps #s(literal -1 binary64))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1/2 eps) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1 binary64)) eps)
(* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps)
(* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
eps
(* eps (+ 1 (* -1/2 eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal 1 binary64)) eps)
(* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps)
(* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) 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 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1 eps) 1))
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rewrite192.0ms (2.2%)

Memory
9.8MiB live, 247.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021136
041135
1177129
21701107
010658102
Stop Event
iter limit
node limit
iter limit
Counts
14 → 2 297
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))
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(*.f64 (-.f64 #s(literal -1 binary64) eps) eps)
Outputs
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eval689.0ms (7.9%)

Memory
-142.3MiB live, 559.3MiB allocated
Compiler

Compiled 97 183 to 7 504 computations (92.3% saved)

prune46.0ms (0.5%)

Memory
-2.0MiB live, 122.2MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2 46122 463
Fresh000
Picked213
Done077
Total2 463102 473
Accuracy
100.0%
Counts
2 473 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
9.4%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
9.4%
(log.f64 (/.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))))
9.4%
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) #s(approx (* (- -1 eps) (- 1 eps)) (fma.f64 eps eps #s(literal -1 binary64)))))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
99.5%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.4%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
99.3%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
98.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
5.3%
#s(literal 0 binary64)
Compiler

Compiled 299 to 141 computations (52.8% saved)

regimes12.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(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 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) #s(approx (* (- -1 eps) (- 1 eps)) (fma.f64 eps eps #s(literal -1 binary64)))))
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(log.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) eps)))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Calls

3 calls:

4.0ms
eps
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
3.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.2%)

Memory
-23.6MiB live, 14.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
(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 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) #s(approx (* (- -1 eps) (- 1 eps)) (fma.f64 eps eps #s(literal -1 binary64)))))
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
4.0ms
eps
3.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.5%1eps
99.5%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.5%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
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
99.4%1eps
99.4%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.4%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
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
99.3%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 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
Calls

3 calls:

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

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-31.8MiB live, 6.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
Calls

3 calls:

4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
eps
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
98.7%1eps
98.7%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
98.7%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 16 to 12 computations (25% saved)

simplify35.0ms (0.4%)

Memory
-27.3MiB live, 33.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034104
146104
251104
354104
455104
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(literal 0 binary64)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 eps #s(literal -2 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(literal 0 binary64)

soundness1.0s (11.9%)

Memory
18.2MiB live, 365.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030183
048163
1191156
21672156
08678146
089295
1220282
2488274
31298270
42829270
56030270
08583258
0621
01021
14421
232821
345598
0100968
025179
042179
1177179
21283179
08279171
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 127 to 74 computations (41.7% saved)

preprocess53.0ms (0.6%)

Memory
24.5MiB live, 97.8MiB allocated
Compiler

Compiled 156 to 78 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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