qlog (example 3.10)

Time bar (total: 11.5s)

analyze4.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×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
25%12.5%37.5%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
81.3%40.6%9.4%50%0%0%0%5
90.6%45.3%4.7%50%0%0%0%6
95.3%47.6%2.3%50%0%0%0%7
97.7%48.8%1.2%50%0%0%0%8
98.8%49.4%0.6%50%0%0%0%9
99.4%49.7%0.3%50%0%0%0%10
99.7%49.8%0.1%50%0%0%0%11
99.9%49.9%0.1%50%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.0s (25.9%)

Memory
-46.0MiB live, 4 390.3MiB allocated
Samples
1.7s3 189×2valid
994.0ms4 794×1valid
22.0ms273×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-log: 1.4s (66.1% of total)
ival-sub: 196.0ms (9.5% of total)
adjust: 170.0ms (8.3% of total)
ival-div: 149.0ms (7.3% of total)
ival-<=: 59.0ms (2.9% of total)
ival-fabs: 56.0ms (2.7% of total)
ival-log1p: 50.0ms (2.4% of total)
...in/eval/compile.rkt:110:19: 8.0ms (0.4% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

preprocess17.0ms (0.1%)

Memory
-0.7MiB live, 38.5MiB allocated
Algorithm
2×egg-herbie
Rules
48×sub-neg
32×+-lowering-+.f64
32×+-lowering-+.f32
22×--lowering--.f32
22×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
13028
24828
38428
412028
515828
618128
719428
820228
920428
079
1129
2169
3219
4289
5369
6469
7609
8649
0646
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
Call 2
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(/ (log (+ 1 x)) (log (- 1 x)))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
(/ (log (+ 1 x)) (neg (log (- 1 x))))

explain278.0ms (2.4%)

Memory
-18.1MiB live, 399.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2530-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity2541
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2532
Confusion
Predicted +Predicted -
+2490
-52
Precision
0.9803149606299213
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24900
-511
Precision?
0.9764705882352941
Recall?
1.0
Freqs
test
numberfreq
02
11
2253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
110.0ms198×2valid
81.0ms300×1valid
1.0ms14×0valid
Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-log: 66.0ms (64.7% of total)
adjust: 10.0ms (9.8% of total)
ival-div: 8.0ms (7.8% of total)
ival-add: 7.0ms (6.9% of total)
ival-sub: 6.0ms (5.9% of total)
ival-log1p: 3.0ms (2.9% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.7%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
22×--lowering--.f32
22×--lowering--.f64
16×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
11225
21625
32125
42825
53625
64625
76025
86425
06419
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
1
x
(log (+ 1 x))
(+ 1 x)
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize78.0ms (0.7%)

Memory
26.2MiB live, 137.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy8.2%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy8.1%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
37.0ms99×2valid
28.0ms150×1valid
0.0ms7×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-log: 35.0ms (65.7% of total)
adjust: 5.0ms (9.4% of total)
ival-div: 4.0ms (7.5% of total)
ival-add: 3.0ms (5.6% of total)
ival-sub: 3.0ms (5.6% of total)
ival-log1p: 3.0ms (5.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (log (+ 1 x))>
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (+ 1 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (log (- 1 x)) (log (+ 1 x)))
2.0ms
x
@inf
(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms
x
@0
(log (+ 1 x))
0.0ms
x
@inf
(log (+ 1 x))
0.0ms
x
@-inf
(log (+ 1 x))

rewrite341.0ms (3%)

Memory
-3.4MiB live, 627.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 056×*-lowering-*.f32
3 056×*-lowering-*.f64
2 824×accelerator-lowering-fma.f32
2 824×accelerator-lowering-fma.f64
2 298×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
13623
224023
3216223
01043715
Stop Event
1×iter limit
1×node limit
Counts
5 → 842
Calls
Call 1
Inputs
(log (+ 1 x))
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
(+ 1 x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (log1p.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))))
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(-.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
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(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))

simplify724.0ms (6.3%)

Memory
-3.5MiB live, 938.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 270×accelerator-lowering-fma.f32
12 270×accelerator-lowering-fma.f64
4 396×+-lowering-+.f64
4 396×+-lowering-+.f32
3 574×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171122
16581000
22014927
08293900
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 x x)))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) x) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/3 binary64) (log.f64 x)) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 x (*.f64 x x)))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval160.0ms (1.4%)

Memory
16.9MiB live, 235.4MiB allocated
Compiler

Compiled 30 389 to 2 493 computations (91.8% saved)

prune277.0ms (2.4%)

Memory
-19.1MiB live, 258.9MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New89111902
Fresh000
Picked011
Done000
Total89112903
Accuracy
100.0%
Counts
903 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(/.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶4.4%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶4.9%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.7%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓3.7%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.0%
(-.f64 #s(literal -1 binary64) x)
▶99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶99.4%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶98.0%
#s(literal -1 binary64)
Compiler

Compiled 308 to 209 computations (32.1% saved)

simplify519.0ms (4.5%)

Memory
-4.0MiB live, 730.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
Rules
16 400×accelerator-lowering-fma.f32
16 400×accelerator-lowering-fma.f64
4 230×*-lowering-*.f32
4 230×*-lowering-*.f64
2 286×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032201
189201
2205201
3401201
4790201
51710201
63561201
75225201
87523201
08462163
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
-1
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(+ -1/2 (* x -5/12))
-1/2
(* x -5/12)
-5/12
-1
(+ -1 (* x (+ (* x -1/2) -1)))
-1
(* x (+ (* x -1/2) -1))
x
(+ (* x -1/2) -1)
(* x -1/2)
-1/2
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(log (+ 1 x))
(+ 1 x)
1
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(log (+ 1 x))
(+ 1 x)
1
Outputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
-1
#s(literal -1 binary64)
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* x (+ -1/2 (* x -5/12)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(+ -1/2 (* x -5/12))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -5/12)
(*.f64 x #s(literal -5/12 binary64))
-5/12
#s(literal -5/12 binary64)
-1
#s(literal -1 binary64)
(+ -1 (* x (+ (* x -1/2) -1)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ (* x -1/2) -1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ (* x -1/2) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))) (log1p.f64 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize141.0ms (1.2%)

Memory
12.1MiB live, 245.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy20.0%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓accuracy99.6%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy20.0%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
✓accuracy99.7%
(*.f64 x #s(literal -5/12 binary64))
Samples
60.0ms221×0valid
34.0ms35×5exit
Compiler

Compiled 204 to 33 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 19.0ms (30.6% of total)
...in/eval/compile.rkt:111:19: 13.0ms (20.9% of total)
ival-add: 12.0ms (19.3% of total)
adjust: 7.0ms (11.3% of total)
ival-log1p: 5.0ms (8% of total)
ival-div: 4.0ms (6.4% of total)
ival-sub: 1.0ms (1.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-11.7MiB live, 29.2MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x -5/12)))))>
#<alt (+ -1 (* x (+ -1/2 (* x -5/12))))>
#<alt (* x (+ -1/2 (* x -5/12)))>
#<alt (+ -1 (* x (+ (* x -1/2) -1)))>
#<alt (* x (+ (* x -1/2) -1))>
#<alt (+ (* x -1/2) -1)>
#<alt (* x -1/2)>
#<alt (log (+ 1 x))>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (/ (log (+ 1 (- 0 x))) (log (+ 1 x)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (* x -5/12)>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (+ (* x -1/4) -1/3)>
#<alt (+ 1 x)>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* 1/4 (/ (pow x 4) (log (/ 1 x))))>
#<alt (* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
2.0ms
x
@-inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
1.0ms
x
@inf
(* x (+ (* x -1/2) -1))
1.0ms
x
@0
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
0.0ms
x
@inf
(* x (+ (* x -1/4) -1/3))

rewrite606.0ms (5.3%)

Memory
-13.5MiB live, 607.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 500×accelerator-lowering-fma.f32
4 500×accelerator-lowering-fma.f64
3 616×*-lowering-*.f32
3 616×*-lowering-*.f64
3 426×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032149
1224149
22051149
08756116
Stop Event
1×iter limit
1×node limit
Counts
19 → 614
Calls
Call 1
Inputs
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(+ -1 (* x (+ (* x -1/2) -1)))
(* x (+ (* x -1/2) -1))
(+ (* x -1/2) -1)
(* x -1/2)
(log (+ 1 x))
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(* x -5/12)
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(+ 1 x)
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal -1 binary64))
(fma.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 x x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x x) x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x x) x #s(literal 1 binary64))
(fma.f64 (/.f64 x x) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

simplify503.0ms (4.4%)

Memory
-8.9MiB live, 983.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 572×accelerator-lowering-fma.f32
9 572×accelerator-lowering-fma.f64
5 368×*-lowering-*.f32
5 368×*-lowering-*.f64
3 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03772953
112122744
242992654
081832534
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* 1/4 (/ (pow x 4) (log (/ 1 x))))
(* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))
(* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))
(* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))
(* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))
(* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (-.f64 #s(literal 5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 5/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -5/12 (pow x 2))
(*.f64 #s(literal -5/12 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(* -5/12 (pow x 2))
(*.f64 #s(literal -5/12 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -5/12 (pow x 2))
(*.f64 #s(literal -5/12 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -5/12 (pow x 2))
(*.f64 #s(literal -5/12 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
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(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval141.0ms (1.2%)

Memory
53.7MiB live, 390.7MiB allocated
Compiler

Compiled 23 392 to 2 616 computations (88.8% saved)

prune102.0ms (0.9%)

Memory
-22.2MiB live, 275.0MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9512953
Fresh336
Picked235
Done101
Total9578965
Accuracy
100.0%
Counts
965 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.4%
(/.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.5%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
▶100.0%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
▶4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.0%
(-.f64 #s(literal -1 binary64) x)
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.4%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓98.0%
#s(literal -1 binary64)
Compiler

Compiled 200 to 125 computations (37.5% saved)

simplify314.0ms (2.7%)

Memory
8.8MiB live, 594.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff384
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff256
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
Rules
8 158×accelerator-lowering-fma.f32
8 158×accelerator-lowering-fma.f64
3 480×*-lowering-*.f32
3 480×*-lowering-*.f64
2 062×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044338
1129316
2317314
3808314
41983314
55197308
08058252
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(log (+ 1 x))
(- -1 x)
-1
x
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
1
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(log (/ (- 1 (* x x)) (+ 1 x)))
(/ (- 1 (* x x)) (+ 1 x))
(- 1 (* x x))
1
(* x x)
x
(+ 1 x)
(log (+ 1 x))
(/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x))))
(log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x))))
(* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))
(- 1 (* x (* x (* x x))))
1
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(/ 1 (+ 1 x))
(+ 1 x)
(log (+ 1 (* x x)))
(log (+ 1 x))
Outputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ 1/3 (* x -1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (/ (- 1 (* x x)) (+ 1 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/ (- 1 (* x x)) (+ 1 x))
(-.f64 #s(literal 1 binary64) x)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(log (+ 1 x))
(log1p.f64 x)
(/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(/.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x))) (log1p.f64 x))
(- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x)))
(log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(- 1 (* x (* x (* x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(log (+ 1 (* x x)))
(log1p.f64 (*.f64 x x))
(log (+ 1 x))
(log1p.f64 x)

localize337.0ms (2.9%)

Memory
-20.3MiB live, 681.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy8.2%
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓accuracy8.1%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy8.2%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
✓accuracy8.1%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
Samples
138.0ms100×2valid
116.0ms149×1valid
2.0ms7×0valid
Compiler

Compiled 357 to 44 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-log: 76.0ms (35.6% of total)
ival-mult: 34.0ms (15.9% of total)
ival-div: 26.0ms (12.2% of total)
adjust: 20.0ms (9.4% of total)
ival-add: 19.0ms (8.9% of total)
ival-sub: 16.0ms (7.5% of total)
...in/eval/compile.rkt:111:19: 14.0ms (6.6% of total)
ival-log1p: 9.0ms (4.2% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-10.0MiB live, 27.3MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (- 0 x))) (log (+ 1 x)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (log (+ 1 x))>
#<alt (- -1 x)>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (/ (- 1 (* x x)) (+ 1 x))>
#<alt (log (+ 1 x))>
#<alt (/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))>
#<alt (log (/ (- 1 (* x x)) (+ 1 x)))>
#<alt (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))>
#<alt (/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))>
#<alt (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x))))>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x))))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
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#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/3 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* -3/4 x) 1/3)))) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))>
#<alt (* -3 (log (/ -1 x)))>
#<alt (- (* -3 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

63 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))
2.0ms
x
@inf
(* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))
2.0ms
x
@-inf
(/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))
0.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@inf
(/ (- 1 (* x x)) (+ 1 x))

rewrite314.0ms (2.7%)

Memory
25.3MiB live, 408.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 490×*-lowering-*.f32
3 490×*-lowering-*.f64
3 016×accelerator-lowering-fma.f32
3 016×accelerator-lowering-fma.f64
2 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044176
1320162
22906161
09435119
Stop Event
1×iter limit
1×node limit
Counts
21 → 885
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(- -1 x)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(/ (- 1 (* x x)) (+ 1 x))
(log (+ 1 x))
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(log (/ (- 1 (* x x)) (+ 1 x)))
(* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))
(/ (- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(- (log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x)))) (log (+ 1 (* x x))))
(* x (+ 1/3 (* x -1/4)))
(* x (+ (* x -1/4) -1/3))
(log (* (- 1 (* x (* x (* x x)))) (/ 1 (+ 1 x))))
(* x (* x x))
(* x (* x (* x x)))
Outputs
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (neg.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (neg.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64))) (*.f64 (log1p.f64 x) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)) (*.f64 (log1p.f64 x) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (log1p.f64 x))) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x))) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log1p.f64 x) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 (/.f64 (log1p.f64 x) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x x))))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (log1p.f64 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 x) #s(literal 0 binary64))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x)))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
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(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))
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(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))
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(*.f64 (*.f64 x x) (*.f64 x x))
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))

simplify383.0ms (3.3%)

Memory
10.6MiB live, 534.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 240×accelerator-lowering-fma.f32
7 240×accelerator-lowering-fma.f64
4 678×*-lowering-*.f32
4 678×*-lowering-*.f64
3 004×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04374119
114113723
249263638
083743522
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(* (pow x 3) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))
(- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))
(- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (/ 1 x)))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) (* -2 (log (/ 1 x))))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 1 x)))
(- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x))))
(- (* -3 (log (/ -1 x))) (+ (* -2 (log (/ -1 x))) (/ 1 x)))
(- (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (* -2 (log (/ -1 x))))
(- (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (* -2 (log (/ -1 x))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/3 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* -3/4 x) 1/3)))) 1))
(+ (log -1) (* -3 (log (/ 1 x))))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))
(* -3 (log (/ -1 x)))
(- (* -3 (log (/ -1 x))) (/ 1 x))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* -1/3 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (+ 1/2 (* x (- (* -3/4 x) 1/3)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -3/4 binary64))))))))
(+ (log -1) (* -3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(* -3 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64))
(- (* -3 (log (/ -1 x))) (/ 1 x))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

eval145.0ms (1.3%)

Memory
12.5MiB live, 231.7MiB allocated
Compiler

Compiled 36 724 to 2 771 computations (92.5% saved)

prune125.0ms (1.1%)

Memory
-18.1MiB live, 266.2MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 21851 223
Fresh000
Picked235
Done033
Total1 220111 231
Accuracy
100.0%
Counts
1 231 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.8%
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.5%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
▶99.5%
(/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) x)
✓99.5%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.0%
(-.f64 #s(literal -1 binary64) x)
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.4%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶99.3%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
✓98.0%
#s(literal -1 binary64)
Compiler

Compiled 326 to 216 computations (33.7% saved)

simplify316.0ms (2.7%)

Memory
11.2MiB live, 455.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓cost-diff0
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
✓cost-diff256
(/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) x)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x)
✓cost-diff256
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓cost-diff-64
(neg.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Rules
6 158×accelerator-lowering-fma.f32
6 158×accelerator-lowering-fma.f64
2 950×*-lowering-*.f32
2 950×*-lowering-*.f64
2 792×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042635
1105635
2271627
3612627
42067627
54187627
08128506
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(neg x)
x
(log (+ 1 x))
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
1
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3
(* (/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x) x)
(/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)
(/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
1
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3
(/ (* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))) x)
(* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
x
(/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
1
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3
(/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x))))
(log (+ 1 (* x (+ -1 (* x (- 1 x))))))
(+ 1 (* x (+ -1 (* x (- 1 x)))))
1
(* x (+ -1 (* x (- 1 x))))
x
(+ -1 (* x (- 1 x)))
-1
(* x (- 1 x))
(- 1 x)
(log (+ 1 (* x x)))
(* x x)
(log (+ 1 x))
(+ 1 x)
Outputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (-.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
x
(/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(/.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (*.f64 x x))) (log1p.f64 x))
(- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (*.f64 x x)))
(log (+ 1 (* x (+ -1 (* x (- 1 x))))))
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ 1 (* x (+ -1 (* x (- 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (+ -1 (* x (- 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
x
(+ -1 (* x (- 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
-1
#s(literal -1 binary64)
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(log (+ 1 (* x x)))
(log1p.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize193.0ms (1.7%)

Memory
-11.5MiB live, 301.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x)))
✓accuracy100.0%
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy8.2%
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
✓accuracy8.1%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x)
✓accuracy99.7%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Samples
82.0ms256×0valid
Compiler

Compiled 637 to 42 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 21.0ms (38% of total)
ival-add: 10.0ms (18.1% of total)
ival-div: 9.0ms (16.3% of total)
ival-log1p: 6.0ms (10.9% of total)
...in/eval/compile.rkt:111:19: 6.0ms (10.9% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (log (+ 1 x))>
#<alt (neg x)>
#<alt (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)>
#<alt (/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (* (/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x) x)>
#<alt (/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)>
#<alt (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))>
#<alt (/ (* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))) x)>
#<alt (* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))>
#<alt (+ 1 (* x (+ -1 (* x (- 1 x)))))>
#<alt (log (+ 1 x))>
#<alt (/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))>
#<alt (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x))))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (* x (+ (* x -1/4) 1/3))>
#<alt (+ (* x -1/4) 1/3)>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))>
#<alt (log (+ 1 (* x (+ -1 (* x (- 1 x))))))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) x)>
#<alt (/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 8/3 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 8/3 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 8/3 (* 32/9 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 8/3 (+ (* 32/9 (/ 1 x)) (/ 200/27 (pow x 2)))) x)) 1) x))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* x (- (* -1/2 x) 1)) 1))>
#<alt (* x (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1))>
#<alt x>
#<alt (* x (+ 1 (* 8/3 (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2)))))>
#<alt (* x (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 8/3 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/3 (* 32/9 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/3 (+ (* 32/9 (/ 1 x)) (/ 200/27 (pow x 2)))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 x) 1))>
#<alt (* (pow x 3) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (- (+ (* -3 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 1 x)))>
#<alt (- (* -3 (log (/ -1 x))) (* -2 (log (/ -1 x))))>
#<alt (- (* -3 (log (/ -1 x))) (+ (* -2 (log (/ -1 x))) (/ 1 x)))>
#<alt (- (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (* -2 (log (/ -1 x))))>
#<alt (- (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (* -2 (log (/ -1 x))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/3 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* -3/4 x) 1/3)))) 1))>
#<alt (+ (log -1) (* -3 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))>
#<alt (- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))>
#<alt (* -3 (log (/ -1 x)))>
#<alt (- (* -3 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))>
Calls

66 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))
0.0ms
x
@inf
(/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))
0.0ms
x
@inf
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
0.0ms
x
@-inf
(/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)
0.0ms
x
@0
(/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)

rewrite455.0ms (3.9%)

Memory
-2.4MiB live, 465.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 124×/-lowering-/.f32
4 124×/-lowering-/.f64
3 956×*-lowering-*.f32
3 956×*-lowering-*.f64
3 918×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042328
1279328
22539324
08857250
Stop Event
1×iter limit
1×node limit
Counts
22 → 849
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(log (+ 1 x))
(neg x)
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(* (/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x) x)
(/ (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))) x)
(/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/ (* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))) x)
(* x (/ (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))))
(+ 1 (* x (+ -1 (* x (- 1 x)))))
(log (+ 1 x))
(/ (- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x)))) (log (+ 1 x)))
(- (log (+ 1 (* x (+ -1 (* x (- 1 x)))))) (log (+ 1 (* x x))))
(* x (+ (* x -1/4) -1/3))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(log (+ 1 (* x (+ -1 (* x (- 1 x))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
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simplify454.0ms (3.9%)

Memory
31.9MiB live, 300.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 190×accelerator-lowering-fma.f32
7 190×accelerator-lowering-fma.f64
4 796×*-lowering-*.f32
4 796×*-lowering-*.f64
2 816×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04653749
114963457
252063383
082323252
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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x
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1/3
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(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))
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Outputs
-1
#s(literal -1 binary64)
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(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
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(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/4 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* -1/3 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (+ 1/2 (* x (- (* -3/4 x) 1/3)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -3/4 binary64))))))))
(+ (log -1) (* -3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(- (+ (log -1) (* -3 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -3 (log (/ 1 x))) (/ 1/2 (pow x 2)))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x))))
(* -3 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64))
(- (* -3 (log (/ -1 x))) (/ 1 x))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(+ (* -3 (log (/ -1 x))) (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))

eval296.0ms (2.6%)

Memory
12.6MiB live, 435.7MiB allocated
Compiler

Compiled 71 101 to 4 320 computations (93.9% saved)

prune222.0ms (1.9%)

Memory
-2.8MiB live, 358.2MiB allocated
Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New1 69641 700
Fresh000
Picked145
Done066
Total1 697141 711
Accuracy
100.0%
Counts
1 711 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓4.8%
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓99.5%
(/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) x)
99.0%
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
✓99.5%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.0%
(-.f64 #s(literal -1 binary64) x)
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.4%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓99.3%
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
98.7%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
99.2%
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) x) x)
✓98.0%
#s(literal -1 binary64)
Compiler

Compiled 597 to 251 computations (58% saved)

regimes17.0ms (0.1%)

Memory
-33.2MiB live, 23.3MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) x) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) x) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))) x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) x) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) x) x)
Outputs
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))) x) x)
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) x)
Outputs
(-.f64 #s(literal -1 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Memory
-23.0MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Rules
30×+-commutative_binary64
28×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04490
17690
27990
38090
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness928.0ms (8.1%)

Memory
-29.1MiB live, 882.8MiB allocated
Rules
12 270×accelerator-lowering-fma.f32
12 270×accelerator-lowering-fma.f64
9 572×accelerator-lowering-fma.f32
9 572×accelerator-lowering-fma.f64
5 368×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
13623
224023
3216223
01043715
044176
1320162
22906161
09435119
02171122
16581000
22014927
08293900
042328
1279328
22539324
08857250
03772953
112122744
242992654
081832534
032149
1224149
22051149
08756116
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 282 to 174 computations (38.3% saved)

preprocess63.0ms (0.5%)

Memory
7.0MiB live, 125.2MiB allocated
Compiler

Compiled 218 to 102 computations (53.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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