logq (problem 3.4.3)

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.8%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.5s (74.2%)

Memory
8.2MiB live, 3 915.1MiB allocated; 1.5s collecting garbage
Samples
1.6s3 285×2valid
1.4s4 807×1valid
19.0ms164×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-log: 1.4s (52.9% of total)
adjust: 750.0ms (28.1% of total)
ival-div: 215.0ms (8.1% of total)
ival-sub: 166.0ms (6.2% of total)
ival-add: 114.0ms (4.3% of total)
exact: 9.0ms (0.3% of total)
ival-assert: 2.0ms (0.1% of total)
ival-fabs: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain200.0ms (4.3%)

Memory
8.2MiB live, 246.8MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(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)))sensitivity2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms220×2valid
52.0ms288×1valid
0.0ms0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-log: 74.0ms (61.2% of total)
adjust: 20.0ms (16.6% of total)
ival-div: 9.0ms (7.4% of total)
ival-sub: 9.0ms (7.4% of total)
ival-add: 7.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess181.0ms (3.9%)

Memory
30.4MiB live, 191.1MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
12229
22729
35125
414025
573525
6531425
068
0108
1168
2198
3348
4878
54448
085228
Stop Event
iter limit
node limit
iter limit
node limit
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)))
(log1p.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

series4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
6 → 29
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
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
Calls

3 calls:

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

rewrite221.0ms (4.7%)

Memory
-5.5MiB live, 140.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125482
0128447
1680443
06556405
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
35 → 95
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)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
Outputs
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 (*.f64 #s(literal -1 binary64) eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) (log.f64 (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
(log.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 eps #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))))
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 eps #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) eps (-.f64 eps #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (+.f64 eps #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) eps))
(fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))
#s(literal 1 binary64)
eps
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) eps (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))
(-.f64 eps (*.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 eps #s(literal -1 binary64))))
(-.f64 eps (*.f64 (neg.f64 (pow.f64 eps #s(literal -1 binary64))) eps))
(-.f64 eps #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (log (/ (- 1 eps) (+ 1 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 (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))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64) #s(literal -2 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) eps #s(literal -2 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (- 1 eps) #s(literal 1 binary64))
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (+ 1 eps) #s(literal 1 binary64))
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/5 binary64)) #s(literal 1 binary64) #s(literal 2/3 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal -1 binary64))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- 1 eps) (*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) eps))
#s(approx (+ 1 eps) eps)
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/5 binary64)) #s(literal 1 binary64) #s(literal 2/3 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (- 1 eps) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64)))

eval10.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 681 to 380 computations (77.4% saved)

prune5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh000
Picked101
Done000
Total96197
Accuracy
100.0%
Counts
97 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
6 → 38
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
(log1p.f64 (*.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(log1p.f64 eps)
Outputs
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)))
1.0ms
eps
@0
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)))
1.0ms
eps
@-inf
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)))

rewrite185.0ms (4%)

Memory
-4.9MiB live, 135.0MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190694
0195598
11136574
08220549
Stop Event
iter limit
node limit
iter limit
Counts
44 → 59
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
(log1p.f64 (*.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(log1p.f64 eps)
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))
Outputs
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))))
(/.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))
(/.f64 (*.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))))
(-.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64)))) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))))
(-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))
(log.f64 (/.f64 (fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))))
(log1p.f64 (*.f64 eps #s(literal -1 binary64)))
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64))) (log1p.f64 (fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) eps)) (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 eps #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) eps)
(neg.f64 eps)
#s(literal -1 binary64)
eps
(log1p.f64 eps)
(-.f64 (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (*.f64 (*.f64 eps eps) eps)) (log1p.f64 (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 eps #s(literal -1 binary64)))))
(log.f64 (-.f64 eps #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 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 (* -1 eps))) (log (+ 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 (* -1 eps))) (*.f64 eps #s(literal -1 binary64)))
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1 binary64)) eps))
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps))
#s(approx (log (+ 1 (* -1 eps))) (*.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))
#s(approx (* -1 eps) (*.f64 eps #s(literal -1 binary64)))
#s(approx eps eps)
#s(approx (log (+ 1 eps)) eps)
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal 1 binary64)) eps))
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))
#s(approx (log (+ 1 eps)) (*.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))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) eps) (log.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps)))
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps)) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) #s(literal -1 binary64) (log.f64 eps))))
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) eps) (log.f64 eps))) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (log.f64 eps))
#s(approx (log (+ 1 eps)) (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (log.f64 eps)))
#s(approx (log (+ 1 eps)) (-.f64 (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (log.f64 eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (log (+ 1 eps)) (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (*.f64 (log.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) eps) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)))
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) #s(literal -1 binary64))))
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)))))
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) eps) #s(literal -1 binary64) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)))))

eval6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 234 to 259 computations (79% saved)

prune12.0ms (0.3%)

Memory
-32.8MiB live, 13.0MiB allocated; 4ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh000
Picked011
Done000
Total58260
Accuracy
100.0%
Counts
60 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
99.8%
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
Compiler

Compiled 29 to 23 computations (20.7% saved)

series5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
14 → 71
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
(log1p.f64 (*.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
#s(approx (log (+ 1 eps)) (*.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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* -1/2 eps))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* 1/3 eps) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* 1/3 eps) 1/2)))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 eps))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* -1/4 (pow eps 4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1/4 (pow eps 3))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* -1/4 (pow eps 2))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1/4 eps)))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* eps (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1/2) eps)) 1/3) eps)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/4 (* 1/3 (/ 1 eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 eps))) eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 eps)) eps))) eps)))))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4))))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1 (* eps (- 1/4 (* 1/3 (/ 1 eps)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1)
1.0ms
eps
@-inf
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1)
1.0ms
eps
@0
((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1)

rewrite153.0ms (3.3%)

Memory
-1.5MiB live, 139.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02851502
02961358
115401334
082651266
Stop Event
iter limit
node limit
iter limit
Counts
85 → 134
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
(log1p.f64 (*.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
#s(approx (log (+ 1 eps)) (*.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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps)))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1))))
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 eps))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 eps)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* -1/2 eps))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* 1/3 eps) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* 1/3 eps) 1/2)))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 eps))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* -1/4 (pow eps 4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1/4 (pow eps 3))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* -1/4 (pow eps 2))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2)))))))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1/4 eps)))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* eps (- (* 1/3 (/ 1 eps)) 1/4))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps))))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1))))
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps)))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps))))))
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1/2) eps)) 1/3) eps)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/4 (* 1/3 (/ 1 eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 eps))) eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 eps)) eps))) eps)))))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4))))
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1 (* eps (- 1/4 (* 1/3 (/ 1 eps)))))))
Outputs
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#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps) #s(literal -1 binary64)))))
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1 binary64)) eps) #s(literal -1 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) eps) #s(literal -1 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 eps eps)))
#s(approx (+ (* -1/4 eps) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64))) eps) #s(literal -1 binary64)))

eval17.0ms (0.4%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 212 to 758 computations (85.5% saved)

prune63.0ms (1.3%)

Memory
-21.2MiB live, 70.2MiB allocated; 7ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done011
Total1412143
Accuracy
100.0%
Counts
143 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
99.8%
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
Compiler

Compiled 66 to 46 computations (30.3% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 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
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
100.0%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
100.0%1eps
Compiler

Compiled 16 to 12 computations (25% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
Outputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
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
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1eps
Compiler

Compiled 16 to 12 computations (25% saved)

regimes3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
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)))
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
7.4%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
7.4%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
7.4%1eps
Compiler

Compiled 16 to 12 computations (25% saved)

simplify50.0ms (1.1%)

Memory
-16.2MiB live, 35.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
13235
24335
35835
48735
528335
6262935
7659235
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Outputs
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.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)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

derivations46.0ms (1%)

Memory
35.9MiB live, 35.9MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 37 to 23 computations (37.8% saved)

preprocess28.0ms (0.6%)

Memory
-5.3MiB live, 40.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 90 to 58 computations (35.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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