qlog (example 3.10)

Time bar (total: 10.8s)

analyze4.0ms (0%)

Memory
7.5MiB live, 7.5MiB 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)

sample2.6s (23.9%)

Memory
26.8MiB live, 3 830.2MiB allocated
Samples
1.1s3 033×2valid
1.1s4 879×1valid
27.0ms344×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log: 1.2s (62.6% of total)
adjust: 207.0ms (11.2% of total)
ival-div: 145.0ms (7.9% of total)
ival-sub: 126.0ms (6.8% of total)
ival-log1p: 80.0ms (4.3% of total)
ival-<=: 58.0ms (3.1% of total)
ival-fabs: 52.0ms (2.8% of total)
exact: 14.0ms (0.8% of total)
ival-assert: 8.0ms (0.4% of total)
Bogosity

preprocess18.0ms (0.2%)

Memory
-3.3MiB live, 33.8MiB 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 (log1p.f64 (neg.f64 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))))

explain338.0ms (3.1%)

Memory
30.8MiB live, 458.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2540-0-(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))sensitivity2540
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2540
Confusion
Predicted +Predicted -
+2490
-52
Precision
0.9803149606299213
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24900
-502
Precision?
0.9803149606299213
Recall?
1.0
Freqs
test
numberfreq
02
2254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
109.0ms210×2valid
61.0ms276×1valid
2.0ms26×0valid
Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-log: 107.0ms (73.1% of total)
adjust: 12.0ms (8.2% of total)
ival-div: 9.0ms (6.1% of total)
ival-add: 7.0ms (4.8% of total)
ival-sub: 6.0ms (4.1% of total)
ival-log1p: 4.0ms (2.7% of total)
exact: 1.0ms (0.7% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.3%
(/.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)

simplify7.0ms (0.1%)

Memory
-25.5MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.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-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff192
(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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log (- 1 x))
(log1p.f64 (neg.f64 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)

localize97.0ms (0.9%)

Memory
-38.8MiB live, 148.4MiB 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)))
✓accuracy9.0%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy9.0%
(log.f64 (-.f64 #s(literal 1 binary64) x))
Samples
43.0ms105×2valid
37.0ms138×1valid
1.0ms13×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-log: 30.0ms (53.4% of total)
ival-log1p: 8.0ms (14.2% of total)
adjust: 6.0ms (10.7% of total)
ival-div: 4.0ms (7.1% of total)
ival-add: 3.0ms (5.3% of total)
ival-sub: 3.0ms (5.3% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (log (+ 1 x))>
#<alt (log (- 1 x))>
#<alt (/ (log (- 1 x)) (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 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 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>
#<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)))
1.0ms
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))

rewrite310.0ms (2.9%)

Memory
6.1MiB live, 473.8MiB 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 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log1p.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) (log1p.f64 (*.f64 x (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (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 (neg.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) (log1p.f64 (neg.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.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) (neg.f64 (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)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (neg.f64 (*.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) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 1 binary64)) (log1p.f64 x))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.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) (fma.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 (fma.f64 x x 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 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.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) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x 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) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.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) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.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) (fma.f64 x x #s(literal 1 binary64))))

simplify507.0ms (4.7%)

Memory
11.7MiB live, 888.1MiB 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
22012927
08297900
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 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 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
(+ 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)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -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 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 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) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 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 (neg.f64 (log.f64 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 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (log.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))))
(- (+ (* -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 #s(literal 1/3 binary64) (*.f64 (neg.f64 (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 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x))))) (fma.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 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))
(+ (* -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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 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)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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)
(neg.f64 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)
(neg.f64 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))

eval135.0ms (1.2%)

Memory
12.5MiB live, 195.3MiB allocated
Compiler

Compiled 28 442 to 2 477 computations (91.3% saved)

prune124.0ms (1.1%)

Memory
-22.9MiB live, 314.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8939902
Fresh000
Picked011
Done000
Total89310903
Accuracy
100.0%
Counts
903 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
▶99.3%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
▶5.8%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
6.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x)
98.9%
(-.f64 #s(literal -1 binary64) x)
▶97.6%
#s(literal -1 binary64)
Compiler

Compiled 180 to 123 computations (31.7% saved)

simplify522.0ms (4.8%)

Memory
44.6MiB live, 700.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
Rules
16 672×accelerator-lowering-fma.f32
16 672×accelerator-lowering-fma.f64
2 536×+-lowering-+.f64
2 536×+-lowering-+.f32
2 368×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030145
175145
2151145
3287145
4616145
5973145
61678145
72604145
83371145
94846145
105821145
116059145
126501145
136892145
146905145
156917145
166947145
176973145
186973145
197689145
08001121
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
x
(+ (* x (+ (* x -5/12) -1/2)) -1)
(+ (* x -5/12) -1/2)
-5/12
-1/2
-1
-1
(+ (* x (+ (* x -1/2) -1)) -1)
x
(+ (* x -1/2) -1)
-1/2
-1
(/ (log (- 1 x)) (+ (* x (* x -1/2)) x))
(log (- 1 x))
(- 1 x)
1
x
(+ (* x (* x -1/2)) x)
(* x -1/2)
-1/2
(/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(log (- 1 x))
(- 1 x)
1
x
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
(* x x)
Outputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x (+ (* x -5/12) -1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x -5/12) -1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
-5/12
#s(literal -5/12 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* x (+ (* x -1/2) -1)) -1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x -1/2) -1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(/ (log (- 1 x)) (+ (* x (* x -1/2)) x))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(log (- 1 x))
(log1p.f64 (neg.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(log (- 1 x))
(log1p.f64 (neg.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)

localize499.0ms (4.6%)

Memory
-88.2MiB live, 453.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy99.9%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓accuracy9.0%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓accuracy9.0%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
Samples
380.0ms105×2valid
75.0ms138×1valid
4.0ms13×0valid
Compiler

Compiled 127 to 32 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 431.0ms
adjust: 315.0ms (73% of total)
ival-log: 40.0ms (9.3% of total)
ival-add: 27.0ms (6.3% of total)
ival-mult: 25.0ms (5.8% of total)
const: 11.0ms (2.6% of total)
ival-div: 8.0ms (1.9% of total)
ival-sub: 3.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-11.0MiB live, 27.6MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)>
#<alt (+ (* x (+ (* x -5/12) -1/2)) -1)>
#<alt (+ (* x -5/12) -1/2)>
#<alt (+ (* x (+ (* x -1/2) -1)) -1)>
#<alt (+ (* x -1/2) -1)>
#<alt (log (- 1 x))>
#<alt (/ (log (- 1 x)) (+ (* x (* x -1/2)) x))>
#<alt (- 1 x)>
#<alt (+ (* x (* x -1/2)) x)>
#<alt (/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))>
#<alt (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)>
#<alt (* x -1/2)>
#<alt (+ (* x -1/4) 1/3)>
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>
#<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>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 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>
#<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 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 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)>
#<alt (* -2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2)))>
#<alt (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (* 2 (/ 1 x))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 2))>
#<alt (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) (+ (* -2 (/ (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)))) (pow x 2))>
#<alt (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2/3 (/ 1 (pow x 3)))))) (+ (* -2 (/ (- 1 (* -2 (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))))) (pow x 3))) (+ (* -2 (/ (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 2))>
#<alt (* 2 (/ (log (/ -1 x)) (pow x 2)))>
#<alt (/ (- (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x))) (* -4 (/ (log (/ -1 x)) x))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 2 (* -4 (log (/ -1 x))))) (* -1 (/ (+ 1 (* 2 (- 2 (* -4 (log (/ -1 x)))))) x))) x)) (* 2 (log (/ -1 x)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 2 (* -4 (log (/ -1 x))))) (* -1 (/ (- (+ 1 (+ (* 2 (- 2 (* -4 (log (/ -1 x))))) (* 2/3 (/ 1 x)))) (* -2 (/ (+ 1 (* 2 (- 2 (* -4 (log (/ -1 x)))))) x))) x))) x)) (* 2 (log (/ -1 x)))) (pow x 2))>
#<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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<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 (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<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 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)))))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ (* x -5/12) -1/2)
2.0ms
x
@-inf
(/ (log (- 1 x)) (+ (* x (* x -1/2)) x))
1.0ms
x
@inf
(/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
1.0ms
x
@-inf
(/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
1.0ms
x
@inf
(/ (log (- 1 x)) (+ (* x (* x -1/2)) x))

rewrite540.0ms (5%)

Memory
-31.3MiB live, 590.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 098×accelerator-lowering-fma.f32
5 098×accelerator-lowering-fma.f64
4 490×/-lowering-/.f32
4 490×/-lowering-/.f64
3 630×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030110
1202110
21692110
0865589
Stop Event
1×iter limit
1×node limit
Counts
13 → 487
Calls
Call 1
Inputs
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
(+ (* x (+ (* x -5/12) -1/2)) -1)
(+ (* x -5/12) -1/2)
(+ (* x (+ (* x -1/2) -1)) -1)
(+ (* x -1/2) -1)
(log (- 1 x))
(/ (log (- 1 x)) (+ (* x (* x -1/2)) x))
(- 1 x)
(+ (* x (* x -1/2)) x)
(/ (log (- 1 x)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(* x -1/2)
(+ (* x -1/4) 1/3)
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x)
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(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.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)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.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 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))

simplify544.0ms (5%)

Memory
19.1MiB live, 377.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 848×accelerator-lowering-fma.f32
10 848×accelerator-lowering-fma.f64
4 962×+-lowering-+.f64
4 962×+-lowering-+.f32
4 448×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191722
19721603
231431497
080431396
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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
(- (* -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
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 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
(- (* -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 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 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(* -2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2)))
(/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (* 2 (/ 1 x))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 2))
(/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) (+ (* -2 (/ (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)))) (pow x 2))
(/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2/3 (/ 1 (pow x 3)))))) (+ (* -2 (/ (- 1 (* -2 (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))))) (pow x 3))) (+ (* -2 (/ (- 2 (* 4 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 2))
(* 2 (/ (log (/ -1 x)) (pow x 2)))
(/ (- (+ (* 2 (log (/ -1 x))) (* 2 (/ 1 x))) (* -4 (/ (log (/ -1 x)) x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (- 2 (* -4 (log (/ -1 x))))) (* -1 (/ (+ 1 (* 2 (- 2 (* -4 (log (/ -1 x)))))) x))) x)) (* 2 (log (/ -1 x)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (- 2 (* -4 (log (/ -1 x))))) (* -1 (/ (- (+ 1 (+ (* 2 (- 2 (* -4 (log (/ -1 x))))) (* 2/3 (/ 1 x)))) (* -2 (/ (+ 1 (* 2 (- 2 (* -4 (log (/ -1 x)))))) x))) x))) x)) (* 2 (log (/ -1 x)))) (pow x 2))
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))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
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))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -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)
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -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)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 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 x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 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 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) x)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))

eval163.0ms (1.5%)

Memory
-19.3MiB live, 132.2MiB allocated
Compiler

Compiled 18 943 to 2 004 computations (89.4% saved)

prune134.0ms (1.2%)

Memory
32.2MiB live, 191.5MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New7227729
Fresh224
Picked235
Done011
Total72613739
Accuracy
100.0%
Counts
739 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
▶98.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓99.3%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
98.9%
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶99.4%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
99.4%
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
▶6.0%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
6.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶98.9%
(-.f64 #s(literal -1 binary64) x)
✓97.6%
#s(literal -1 binary64)
Compiler

Compiled 301 to 187 computations (37.9% saved)

simplify490.0ms (4.5%)

Memory
4.7MiB live, 640.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff640
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓cost-diff0
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff640
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
Rules
13 708×accelerator-lowering-fma.f32
13 708×accelerator-lowering-fma.f64
3 678×*-lowering-*.f32
3 678×*-lowering-*.f64
2 318×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039317
1110317
2255317
3525313
41193309
52517309
66814309
08172256
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(+ (* x -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
1/3
(* x x)
(- -1 x)
-1
x
(+ (* x (+ (* x (+ (* x -2/3) -5/6)) -1)) -1)
x
(+ (* x (+ (* x -2/3) -5/6)) -1)
(+ (* x -2/3) -5/6)
-2/3
-5/6
-1
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* x (* x -1/2)) x))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(+ (* x -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(+ (* x (* x -1/2)) x)
(* x -1/2)
(/ (log (/ (- 1 (* x x)) (+ x 1))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(log (/ (- 1 (* x x)) (+ x 1)))
(/ (- 1 (* x x)) (+ x 1))
(- 1 (* x x))
1
(* x x)
x
(+ x 1)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
Outputs
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) -1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* x x)
(*.f64 x x)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ (* x (+ (* x (+ (* x -2/3) -5/6)) -1)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x (+ (* x -2/3) -5/6)) -1)
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64))
(+ (* x -2/3) -5/6)
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
-2/3
#s(literal -2/3 binary64)
-5/6
#s(literal -5/6 binary64)
-1
#s(literal -1 binary64)
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* x (* x -1/2)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) -1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
(/ (log (/ (- 1 (* x x)) (+ x 1))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(log (/ (- 1 (* x x)) (+ x 1)))
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/ (- 1 (* x x)) (+ x 1))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.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
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)

localize290.0ms (2.7%)

Memory
-16.4MiB live, 758.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy99.9%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓accuracy9.0%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
Samples
114.0ms138×1valid
105.0ms104×2valid
4.0ms12×0valid
2.0ms2×3valid
Compiler

Compiled 269 to 41 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-mult: 43.0ms (24.2% of total)
ival-log: 31.0ms (17.5% of total)
ival-add: 29.0ms (16.3% of total)
adjust: 27.0ms (15.2% of total)
const: 25.0ms (14.1% of total)
ival-div: 17.0ms (9.6% of total)
ival-sub: 4.0ms (2.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-4.6MiB live, 33.0MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))>
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)>
#<alt (+ (* x (+ (* x -1/4) -1/3)) -1/2)>
#<alt (- -1 x)>
#<alt (+ (* x (+ (* x (+ (* x -2/3) -5/6)) -1)) -1)>
#<alt (+ (* x (+ (* x -2/3) -5/6)) -1)>
#<alt (+ (* x -2/3) -5/6)>
#<alt (/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* x (* x -1/2)) x))>
#<alt (/ (- 1 (* x x)) (+ x 1))>
#<alt (/ (log (/ (- 1 (* x x)) (+ x 1))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))>
#<alt (log (/ (- 1 (* x x)) (+ x 1)))>
#<alt (- 1 (* x x))>
#<alt (+ (* x -1/4) 1/3)>
#<alt (+ (* x -1/4) -1/3)>
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>
#<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 (- (* -1/2 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 -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -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 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)>
#<alt (* -2/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -2/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2/3 (+ (* 5/6 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2/3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6) x)))))>
#<alt -1>
#<alt (- (* -5/6 x) 1)>
#<alt (- (* x (- (* -2/3 x) 5/6)) 1)>
#<alt (- (* x (- (* -2/3 x) 5/6)) 1)>
#<alt (* -2/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))>
#<alt (* -2/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))>
#<alt -5/6>
#<alt (- (* -2/3 x) 5/6)>
#<alt (- (* -2/3 x) 5/6)>
#<alt (- (* -2/3 x) 5/6)>
#<alt (* -2/3 x)>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -2/3 x)>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) 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) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<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 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<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 -1/3>
#<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)))))>
Calls

45 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ (* x (+ (* x -2/3) -5/6)) -1)
2.0ms
x
@inf
(/ (- 1 (* x x)) (+ x 1))
0.0ms
x
@-inf
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
0.0ms
x
@inf
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
0.0ms
x
@0
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))

rewrite346.0ms (3.2%)

Memory
-17.8MiB live, 897.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 378×/-lowering-/.f32
4 378×/-lowering-/.f64
4 304×accelerator-lowering-fma.f32
4 304×accelerator-lowering-fma.f64
3 948×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039181
1281163
22441163
08638132
Stop Event
1×iter limit
1×node limit
Counts
15 → 570
Calls
Call 1
Inputs
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(- -1 x)
(+ (* x (+ (* x (+ (* x -2/3) -5/6)) -1)) -1)
(+ (* x (+ (* x -2/3) -5/6)) -1)
(+ (* x -2/3) -5/6)
(/ (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)) (+ (* x (* x -1/2)) x))
(/ (- 1 (* x x)) (+ x 1))
(/ (log (/ (- 1 (* x x)) (+ x 1))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(log (/ (- 1 (* x x)) (+ x 1)))
(- 1 (* x x))
(+ (* x -1/4) 1/3)
(+ (* x -1/4) -1/3)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
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(/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 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)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.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)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (fma.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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.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 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 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)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #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 (fma.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 #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 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))

simplify407.0ms (3.8%)

Memory
40.4MiB live, 630.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 274×accelerator-lowering-fma.f32
12 274×accelerator-lowering-fma.f64
6 000×+-lowering-+.f64
6 000×+-lowering-+.f32
3 886×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03151712
19381602
230521502
082271400
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) 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)))))
-1/2
(- (* -1/3 x) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(* -2/3 (pow x 3))
(* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 2/3 (* 5/6 (/ 1 x)))))
(* -2/3 (pow x 3))
(* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2/3 (+ (* 5/6 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2/3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6) x)))))
-1
(- (* -5/6 x) 1)
(- (* x (- (* -2/3 x) 5/6)) 1)
(- (* x (- (* -2/3 x) 5/6)) 1)
(* -2/3 (pow x 2))
(* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(* -2/3 (pow x 2))
(* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
-5/6
(- (* -2/3 x) 5/6)
(- (* -2/3 x) 5/6)
(- (* -2/3 x) 5/6)
(* -2/3 x)
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(* -2/3 x)
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) 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 (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(* -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 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -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)))))
-1/3
(- (* -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)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))) (/.f64 #s(literal 200/27 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 200/27 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 x) 1/2)
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.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
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 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 x)
(neg.f64 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) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -5/6 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -2/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))
(* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) x)))))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 2/3 (* 5/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))))
(* -2/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2/3 binary64)))
(* -1 (* (pow x 3) (+ 2/3 (* 5/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)))
(* -1 (* (pow x 3) (+ 2/3 (+ (* 5/6 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 5/6 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (+ 2/3 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6) x)))))
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))))
-1
#s(literal -1 binary64)
(- (* -5/6 x) 1)
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(- (* x (- (* -2/3 x) 5/6)) 1)
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64))
(- (* x (- (* -2/3 x) 5/6)) 1)
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64))
(* -2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2/3 binary64))
(* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) x))))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) x))))
(* -2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2/3 binary64))
(* -1 (* (pow x 2) (+ 2/3 (* 5/6 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) x))))
(* (pow x 2) (- (* -1 (/ (+ 5/6 (/ 1 x)) x)) 2/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) x))))
-5/6
#s(literal -5/6 binary64)
(- (* -2/3 x) 5/6)
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(- (* -2/3 x) 5/6)
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(- (* -2/3 x) 5/6)
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
(* -1 (* x (+ 2/3 (* 5/6 (/ 1 x)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -5/6 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/3 binary64) x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5/3 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/3 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 13/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 32/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/3 binary64) x)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/3 binary64) x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5/3 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/3 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -5/3 binary64) (/.f64 (+.f64 #s(literal 13/3 binary64) (/.f64 #s(literal 32/3 binary64) x)) x)) 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)
(neg.f64 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)
(neg.f64 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) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 16/3 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 4 binary64) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x) (+.f64 (/.f64 #s(literal -8 binary64) x) #s(literal 16/3 binary64)) (*.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) (/.f64 #s(literal -4/3 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x)))))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal 8 binary64) (fma.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) #s(literal 4/3 binary64) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x) (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) (*.f64 x x)) (+.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 2 binary64) x)))))) (pow.f64 x #s(literal 4 binary64)))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16/3 binary64) x)) (/.f64 #s(literal 4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 22/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 22/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64))) x) (fma.f64 #s(literal 16 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) x) (/.f64 #s(literal 4/3 binary64) x))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64)) x) (-.f64 #s(literal 22/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64))))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.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)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.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)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.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)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

eval141.0ms (1.3%)

Memory
16.1MiB live, 283.5MiB allocated
Compiler

Compiled 30 162 to 2 639 computations (91.3% saved)

prune135.0ms (1.2%)

Memory
-38.2MiB live, 217.3MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New9557962
Fresh044
Picked145
Done044
Total95619975
Accuracy
100.0%
Counts
975 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓98.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓99.3%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶98.9%
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶98.9%
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶98.9%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓99.4%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
31.7%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
▶99.4%
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
6.1%
(/.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
6.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓98.9%
(-.f64 #s(literal -1 binary64) x)
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
▶99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (log1p.f64 (neg.f64 x)))
✓97.6%
#s(literal -1 binary64)
Compiler

Compiled 626 to 350 computations (44.1% saved)

simplify345.0ms (3.2%)

Memory
12.8MiB live, 400.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (log1p.f64 (neg.f64 x)))
✓cost-diff0
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x)
✓cost-diff1792
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓cost-diff2112
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff128
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x))
✓cost-diff640
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓cost-diff0
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
Rules
12 138×accelerator-lowering-fma.f32
12 138×accelerator-lowering-fma.f64
4 816×*-lowering-*.f32
4 816×*-lowering-*.f64
3 112×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041405
1105405
2271405
3890397
44480373
08356310
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(log (+ 1 (neg x)))
(neg x)
x
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
(* x x)
(+ (* x (+ (* x -5/6) -1)) -1)
x
(+ (* x -5/6) -1)
-5/6
-1
(/ (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x)) (+ (* x (* x -1/2)) x))
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
x
(+ (* x -1/4) -1/3)
-1/4
-1/3
-1/2
(* x x)
(neg x)
(+ (* x (* x -1/2)) x)
(* x -1/2)
(/ (/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)) (+ (* x (* x -1/2)) x))
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))
(* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x)
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
x
(+ (* x -1/4) -1/3)
-1/4
-1/3
-1/2
(* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))
(* x x)
-1
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)
1
(+ (* x (* x -1/2)) x)
(* x -1/2)
(* (/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)) (log (+ 1 (neg x))))
(/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
1
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
x
(+ (* x -1/4) 1/3)
-1/4
1/3
-1/2
(* x x)
(log (+ 1 (neg x)))
(neg x)
Outputs
(/ (log (+ 1 (neg x))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(log (+ 1 (neg x)))
(log1p.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(+ (* x (+ (* x -5/6) -1)) -1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(+ (* x -5/6) -1)
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
-5/6
#s(literal -5/6 binary64)
-1
#s(literal -1 binary64)
(/ (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x)) (+ (* x (* x -1/2)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
x
(+ (* x -1/4) -1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(neg x)
(neg.f64 x)
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
(/ (/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)) (+ (* x (* x -1/2)) x))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))
(*.f64 x (*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x)
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1)
(fma.f64 x (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
x
(+ (* x -1/4) -1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(* x x)
(*.f64 x x)
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
(* (/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)) (log (+ 1 (neg x))))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
1
#s(literal 1 binary64)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
x
(+ (* x -1/4) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
-1/4
#s(literal -1/4 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(log (+ 1 (neg x)))
(log1p.f64 (neg.f64 x))
(neg x)
(neg.f64 x)

localize158.0ms (1.5%)

Memory
-7.2MiB live, 213.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (log1p.f64 (neg.f64 x)))
✓accuracy100.0%
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x))
✓accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
✓accuracy100.0%
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy99.9%
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
Samples
86.0ms256×0valid
Compiler

Compiled 362 to 42 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 29.0ms (46% of total)
ival-add: 12.0ms (19.1% of total)
const: 10.0ms (15.9% of total)
ival-div: 8.0ms (12.7% of total)
ival-log1p: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-20.6MiB live, 17.7MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (neg x))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)>
#<alt (+ (* x (+ (* x -5/6) -1)) -1)>
#<alt (+ (* x -5/6) -1)>
#<alt (/ (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x)) (+ (* x (* x -1/2)) x))>
#<alt (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x))>
#<alt (+ (* x (+ (* x -1/4) -1/3)) -1/2)>
#<alt (+ (* x -1/4) -1/3)>
#<alt (/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))>
#<alt (/ (/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)) (+ (* x (* x -1/2)) x))>
#<alt (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x)>
#<alt (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1)>
#<alt (* (/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)) (log (+ 1 (neg x))))>
#<alt (/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))>
#<alt (+ (* x (+ (* x -1/4) 1/3)) -1/2)>
#<alt (+ (* x -1/4) 1/3)>
#<alt (* x -1/2)>
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)>
#<alt (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* 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 (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<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 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 (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (* -5/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))>
#<alt (* -5/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))>
#<alt -1>
#<alt (- (* -5/6 x) 1)>
#<alt (- (* -5/6 x) 1)>
#<alt (- (* -5/6 x) 1)>
#<alt (* -5/6 x)>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt (* -5/6 x)>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt (* -1 (* x (+ 5/6 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) 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 -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<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 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 x) 1)>
#<alt (- (* x (- (* -5/6 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/4 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/4 (* 1/3 x))) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x))))) 1))>
#<alt (* 1/16 (pow x 7))>
#<alt (* (pow x 7) (+ 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 7) (+ 1/16 (+ (/ 13/36 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 7) (+ 1/16 (+ (/ 13/36 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* 1/16 (pow x 7))>
#<alt (* (pow x 7) (+ 1/16 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 x))) x)) 1/16)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 13/36 (/ 1 x)))) x)) 1/16)))>
#<alt -1>
#<alt (- (* 1/4 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/4 (* 1/3 x))) 1)>
#<alt (- (* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x))))) 1)>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (+ 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/16 (+ (/ 13/36 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/16 (+ (/ 13/36 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (+ 1/16 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/16 (+ (/ 13/36 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 x))) x)) 1/6) 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 (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<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 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) 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 (* -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>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/3 x) 1/2)))>
#<alt (+ 1 (* 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 (pow x 3)) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 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 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<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))) x)) 1/4))>
#<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))) x)) 1/4))>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
0.0ms
x
@inf
(+ (* x (+ (* x -5/6) -1)) -1)
0.0ms
x
@0
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))
0.0ms
x
@inf
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))
0.0ms
x
@-inf
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))

rewrite441.0ms (4.1%)

Memory
35.3MiB live, 643.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 596×accelerator-lowering-fma.f32
5 596×accelerator-lowering-fma.f64
4 894×/-lowering-/.f32
4 894×/-lowering-/.f64
4 642×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041277
1271257
22432257
09226210
Stop Event
1×iter limit
1×node limit
Counts
21 → 988
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(log (+ 1 (neg x)))
(neg x)
(+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)
(+ (* x (+ (* x -5/6) -1)) -1)
(+ (* x -5/6) -1)
(/ (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x)) (+ (* x (* x -1/2)) x))
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(+ (* x -1/4) -1/3)
(/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1))
(/ (/ (* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x) (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)) (+ (* x (* x -1/2)) x))
(* (+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1) x)
(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))) -1)
(* (/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x)) (log (+ 1 (neg x))))
(/ 1 (+ (* (+ (* x (+ (* x -1/4) 1/3)) -1/2) (* x x)) x))
(+ (* x (+ (* x -1/4) 1/3)) -1/2)
(+ (* x -1/4) 1/3)
(* x -1/2)
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) 1)
(* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (/.f64 (log1p.f64 (-.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (/.f64 (log1p.f64 x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x))))))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) #s(literal -1/8 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) #s(literal -1/8 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1/4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) x)

simplify444.0ms (4.1%)

Memory
21.0MiB live, 632.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 826×accelerator-lowering-fma.f32
16 826×accelerator-lowering-fma.f64
6 508×+-lowering-+.f64
6 508×+-lowering-+.f32
4 856×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04102886
112312748
236142573
085662400
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)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(* -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)
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))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
-1
(- (* -1 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(* -5/6 (pow x 2))
(* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(* -5/6 (pow x 2))
(* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
-1
(- (* -5/6 x) 1)
(- (* -5/6 x) 1)
(- (* -5/6 x) 1)
(* -5/6 x)
(* -1 (* x (+ 5/6 (/ 1 x))))
(* -1 (* x (+ 5/6 (/ 1 x))))
(* -1 (* x (+ 5/6 (/ 1 x))))
(* -5/6 x)
(* -1 (* x (+ 5/6 (/ 1 x))))
(* -1 (* x (+ 5/6 (/ 1 x))))
(* -1 (* x (+ 5/6 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) 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)))))
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(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
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(* (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))
-1/2
(- (* -1/3 x) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
-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 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 x) 1)
(- (* x (- (* -5/6 x) 1)) 1)
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) x))))
(* -1 x)
(* x (- (* 1/4 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/4 (* 1/3 x))) 1))
(* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x))))) 1))
(* 1/16 (pow x 7))
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(* (pow x 7) (+ 1/16 (+ (/ 13/36 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 7) (+ 1/16 (+ (/ 13/36 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))))))
(* 1/16 (pow x 7))
(* (pow x 7) (+ 1/16 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 x))) x)) 1/16)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 13/36 (/ 1 x)))) x)) 1/16)))
-1
(- (* 1/4 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/4 (* 1/3 x))) 1)
(- (* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x))))) 1)
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(* (pow x 6) (+ 1/16 (* 1/6 (/ 1 x))))
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-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -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)))))
(* -1/2 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)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/3 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)))
(* -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 (pow x 3)) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 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)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/3 x) 1/2))
(* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -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))) x)) 1/4))
(* -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))) x)) 1/4))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (fma.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x) (+.f64 (/.f64 #s(literal -8 binary64) x) #s(literal 16/3 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal 8 binary64) (fma.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) #s(literal 4/3 binary64) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64) #s(literal 4 binary64)) (*.f64 x x)) (+.f64 #s(literal -4/3 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) x) (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x))))))) (pow.f64 x #s(literal 4 binary64)))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(*.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (+ (* 4 (log (/ -1 x))) (+ (* 16/3 (/ (log (/ -1 x)) x)) (* 4 (/ 1 x)))) (pow x 4))
(/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16/3 binary64) x)) (/.f64 #s(literal 4 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) x) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64)) x) (fma.f64 #s(literal 16 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) x) (/.f64 #s(literal 4/3 binary64) x))))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 x) (/.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 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 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) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -5/6 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* -5/6 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/6 binary64)))
(* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -5/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -5/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -5/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/6 binary64)))
(* -1 (* (pow x 2) (+ 5/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -5/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 5/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -5/6 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
-1
#s(literal -1 binary64)
(- (* -5/6 x) 1)
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(- (* -5/6 x) 1)
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(- (* -5/6 x) 1)
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -5/6 x)
(*.f64 x #s(literal -5/6 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -5/6 x)
(*.f64 x #s(literal -5/6 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 5/6 (/ 1 x))))
(fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -5/6 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2/3 x) 5/6)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 5/3 binary64)))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/3 binary64) (*.f64 x x))) (*.f64 x #s(literal 5/3 binary64)))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (+ (* 32/3 (/ 1 (pow x 3))) (/ 13/3 (pow x 2))))))
(fma.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/3 binary64) (*.f64 x x))) (/.f64 #s(literal 32/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 5/3 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 5/3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 5/3 binary64)))
(* (pow x 2) (+ 1/2 (+ (* 5/3 (/ 1 x)) (/ 13/3 (pow x 2)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 13/3 binary64) (*.f64 x x))) (*.f64 x #s(literal 5/3 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 13/3 (* 32/3 (/ 1 x))) x)) 5/3) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -5/3 binary64) (/.f64 (+.f64 #s(literal 13/3 binary64) (/.f64 #s(literal 32/3 binary64) x)) x)) x)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 16/3 (log (/ -1 x)))) x)) (+ (* 4/3 (/ (- 2 (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ (* 16 (/ (log (/ -1 x)) x)) (* 4/3 (/ 1 x)))))) (+ (* -4/3 (+ 4 (* 16/3 (log (/ -1 x))))) (* 8 (log (/ -1 x))))) x)) (+ 4 (* 16/3 (log (/ -1 x))))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(literal -16/3 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 8/9 binary64)))) x) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64)) x) (fma.f64 #s(literal 16 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) x) (/.f64 #s(literal 4/3 binary64) x))))) x) (fma.f64 #s(literal 16/3 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -4 (pow x 4))
(/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal 16/3 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 8/9 binary64) x) #s(literal 16/3 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -112/27 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(/ -4 (pow x 4))
(/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal -8/9 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 16/3 binary64) (/.f64 (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.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)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -1/3 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (/ 1 (pow x 3)) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(fma.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 1 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 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x (*.f64 x (neg.f64 x))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/3 x) 1/2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))

eval262.0ms (2.4%)

Memory
6.5MiB live, 347.2MiB allocated
Compiler

Compiled 73 299 to 4 205 computations (94.3% saved)

prune226.0ms (2.1%)

Memory
8.6MiB live, 217.4MiB allocated
Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New1 74691 755
Fresh246
Picked325
Done088
Total1 751231 774
Accuracy
100.0%
Counts
1 774 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓98.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓99.3%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓98.9%
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓98.9%
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
46.2%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) x #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓99.4%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
✓98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
98.9%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
31.7%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
6.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓98.9%
(-.f64 #s(literal -1 binary64) x)
99.3%
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
99.2%
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
98.8%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
✓97.6%
#s(literal -1 binary64)
Compiler

Compiled 1 223 to 423 computations (65.4% saved)

regimes19.0ms (0.2%)

Memory
-23.6MiB live, 15.4MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) x #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(/.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
Calls

2 calls:

9.0ms
x
7.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%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)

regimes4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal -5/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
Outputs
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
Calls

2 calls:

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

regimes3.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
Outputs
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.9%1x
98.9%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)

regimes3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
Outputs
(-.f64 #s(literal -1 binary64) x)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.9%1x
98.9%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)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB 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

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
97.6%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
97.6%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
11528
21928
32128
42228
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness472.0ms (4.4%)

Memory
-8.7MiB live, 183.8MiB allocated
Rules
12 270×accelerator-lowering-fma.f32
12 270×accelerator-lowering-fma.f64
10 848×accelerator-lowering-fma.f32
10 848×accelerator-lowering-fma.f64
4 962×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191722
19721603
231431497
080431396
02171122
16581000
22012927
08297900
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 74 to 43 computations (41.9% saved)

preprocess43.0ms (0.4%)

Memory
17.7MiB live, 93.8MiB allocated
Compiler

Compiled 92 to 50 computations (45.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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