logq (problem 3.4.3)

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
-34.5MiB live, 4.6MiB 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)

sample2.8s (43.8%)

Memory
48.1MiB live, 2 448.0MiB allocated
Samples
1.4s3 142×2valid
1.0s4 829×1valid
19.0ms285×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-log: 1.2s (59.8% of total)
ival-add: 215.0ms (10.3% of total)
adjust: 207.0ms (9.9% of total)
ival-div: 176.0ms (8.4% of total)
ival-sub: 154.0ms (7.4% of total)
ival-fabs: 55.0ms (2.6% of total)
ival-<: 23.0ms (1.1% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain233.0ms (3.6%)

Memory
21.4MiB live, 213.0MiB allocated
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
89.0ms208×2valid
82.0ms286×1valid
1.0ms18×0valid
Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-log: 114.0ms (76.1% of total)
adjust: 12.0ms (8% of total)
ival-div: 9.0ms (6% of total)
ival-add: 7.0ms (4.7% of total)
ival-sub: 7.0ms (4.7% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess37.0ms (0.6%)

Memory
11.1MiB live, 46.0MiB 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 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify39.0ms (0.6%)

Memory
-26.4MiB live, 12.4MiB 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 eps #s(literal 1 binary64)) (-.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 eps #s(literal -1 binary64))

localize75.0ms (1.2%)

Memory
6.5MiB live, 57.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) eps)
accuracy0
(+.f64 #s(literal 1 binary64) eps)
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy58.759523899470075
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Samples
42.0ms104×2valid
24.0ms143×1valid
1.0ms0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-log: 37.0ms (67.1% of total)
adjust: 6.0ms (10.9% of total)
ival-div: 5.0ms (9.1% of total)
ival-sub: 4.0ms (7.3% of total)
ival-add: 3.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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))

simplify116.0ms (1.8%)

Memory
5.9MiB live, 116.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089295
1220282
2488274
31298270
42829270
56039270
08594258
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
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #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)
(*.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(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))
(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))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) 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))))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(-.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))
(neg.f64 eps)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
eps
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) 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))))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps))
(-.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))
(neg.f64 eps)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
eps
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)

rewrite112.0ms (1.8%)

Memory
-13.9MiB live, 106.6MiB 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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eval219.0ms (3.4%)

Memory
-145.7MiB live, 101.8MiB allocated
Compiler

Compiled 7 511 to 1 015 computations (86.5% saved)

prune17.0ms (0.3%)

Memory
-21.5MiB live, 21.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3455350
Fresh000
Picked011
Done000
Total3456351
Accuracy
100.0%
Counts
351 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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))
99.7%
#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))
99.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
99.1%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 166 to 112 computations (32.5% saved)

simplify384.0ms (6%)

Memory
0.5MiB live, 152.0MiB 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 #s(literal -2 binary64) eps)
cost-diff0
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
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 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#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))
(*.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 (*.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 (*.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 (*.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 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))
#s(literal -2/7 binary64)
(*.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 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#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 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) eps)
(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)

localize203.0ms (3.2%)

Memory
40.4MiB live, 114.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 eps eps)
accuracy0.015625
(fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64))
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)
accuracy0.14799264408694704
#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)
accuracy0.19092394368156135
#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 #s(literal -2 binary64) eps)
accuracy0.5837911260467794
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
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))
accuracy0.015625
(*.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)
accuracy0.01953125
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
accuracy0.13165093250534285
#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
91.0ms143×1valid
86.0ms104×2valid
2.0ms0valid
Compiler

Compiled 372 to 56 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult: 48.0ms (32% of total)
ival-log: 36.0ms (24% of total)
adjust: 18.0ms (12% of total)
const: 16.0ms (10.7% of total)
ival-add: 16.0ms (10.7% of total)
ival-sub: 11.0ms (7.3% of total)
ival-div: 5.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.5%)

Memory
-38.5MiB live, 10.5MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (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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Outputs
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#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
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))) (* -2 eps) (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))) (* -2 eps) (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))) (* -2 eps) (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))

simplify170.0ms (2.7%)

Memory
12.6MiB live, 119.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211652
13531636
212411610
335491606
474531606
080171519
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
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(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)))
(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)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal -2 binary64)) eps)
(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)))
(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)))
#s(literal -2 binary64)
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rewrite198.0ms (3.1%)

Memory
3.1MiB live, 125.3MiB 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))
(*.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))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 #s(literal -2 binary64) eps)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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)
#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))
(fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64))
Outputs
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eval156.0ms (2.5%)

Memory
13.6MiB live, 102.3MiB allocated
Compiler

Compiled 23 263 to 2 167 computations (90.7% saved)

prune110.0ms (1.7%)

Memory
-22.7MiB live, 53.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New6501651
Fresh000
Picked055
Done011
Total6507657
Accuracy
100.0%
Counts
657 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%
#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)))
99.8%
#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))
99.7%
#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))
99.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
99.1%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 106 to 72 computations (32.1% saved)

simplify35.0ms (0.5%)

Memory
5.6MiB live, 42.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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
01343
01841
13641
25541
36841
49141
512541
616041
725741
840141
959541
1070141
11103641
12112841
13116541
0116539
Stop Event
iter limit
saturated
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)
Outputs
#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)
(*.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)

localize102.0ms (1.6%)

Memory
-9.1MiB live, 113.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 eps eps)
accuracy0
(*.f64 #s(literal -2 binary64) eps)
accuracy0.19092394368156135
#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)))
accuracy0.1953125
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
Samples
53.0ms104×2valid
36.0ms143×1valid
1.0ms0valid
Compiler

Compiled 78 to 28 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-log: 41.0ms (54.1% of total)
adjust: 11.0ms (14.5% of total)
ival-mult: 6.0ms (7.9% of total)
ival-div: 5.0ms (6.6% of total)
ival-sub: 4.0ms (5.3% of total)
const: 4.0ms (5.3% of total)
ival-add: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (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 #<batchref> (taylor 0 eps) (#s(alt #<batchref> (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 #<batchref> (taylor 0 eps) (#s(alt #<batchref> (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 #<batchref> (taylor 0 eps) (#s(alt #<batchref> (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 #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (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 #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) eps) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify141.0ms (2.2%)

Memory
5.5MiB live, 200.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058354
1135350
2362350
3951350
42181350
54647350
67532350
08154335
Stop Event
iter limit
node limit
Counts
60 → 60
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)
(* -2 eps)
(* -2 eps)
(* -2 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))))))
(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)
(* -2 eps)
(* -2 eps)
(* -2 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))))))
(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)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
Outputs
(*.f64 #s(literal -2 binary64) 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)
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #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)
(*.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 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(*.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)
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) 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))))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))
(*.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)
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)
(log.f64 #s(literal -1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) 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))))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 #s(literal -2 binary64) eps)

rewrite247.0ms (3.9%)

Memory
-12.7MiB live, 233.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
01838
17538
254938
3691938
0902134
Stop Event
iter limit
node limit
iter limit
Counts
5 → 127
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 #s(literal -2 binary64) eps)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval23.0ms (0.4%)

Memory
28.6MiB live, 67.1MiB allocated
Compiler

Compiled 5 719 to 546 computations (90.5% saved)

prune8.0ms (0.1%)

Memory
-11.5MiB live, 26.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1870187
Fresh000
Picked011
Done066
Total1877194
Accuracy
100.0%
Counts
194 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%
#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)))
99.8%
#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))
99.7%
#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))
99.7%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps))
99.1%
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
5.4%
#s(literal 0 binary64)
Compiler

Compiled 212 to 106 computations (50% saved)

regimes11.0ms (0.2%)

Memory
-23.0MiB live, 22.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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)))
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:

6.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.8%1eps
99.8%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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
99.7%1eps
99.7%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Results
AccuracySegmentsBranch
99.7%1eps
99.7%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
-28.4MiB live, 11.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (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:

3.0ms
eps
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
1.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
99.7%1eps
99.7%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Outputs
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps))
Calls

3 calls:

2.0ms
eps
1.0ms
(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
99.1%1eps
99.1%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB 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
5.4%1eps
5.4%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
5.4%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify24.0ms (0.4%)

Memory
-18.2MiB live, 60.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02998
13698
Stop Event
saturated
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))
#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 #s(literal -2 binary64) eps))
#s(literal 0 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 #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 #s(literal -2 binary64) eps))
#s(literal 0 binary64)

soundness734.0ms (11.5%)

Memory
5.1MiB live, 363.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
01021
14421
232821
345598
0100968
025179
042179
1177179
21283179
08279171
089295
1220282
2488274
31298270
42829270
56039270
08594258
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 147 to 65 computations (55.8% saved)

preprocess50.0ms (0.8%)

Memory
3.3MiB live, 80.1MiB allocated
Compiler

Compiled 224 to 80 computations (64.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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