qlog (example 3.10)

Time bar (total: 9.9s)

analyze4.0ms (0%)

Memory
8.7MiB live, 8.7MiB 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)

sample2.7s (27.3%)

Memory
23.0MiB live, 2 754.6MiB allocated
Samples
1.2s4 939×1valid
1.1s3 006×2valid
21.0ms311×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-log: 1.3s (63% of total)
adjust: 202.0ms (10% of total)
ival-sub: 183.0ms (9.1% of total)
ival-div: 160.0ms (7.9% of total)
ival-log1p: 111.0ms (5.5% of total)
ival-fabs: 51.0ms (2.5% of total)
ival-<=: 30.0ms (1.5% of total)
exact: 5.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess18.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
1×egg-herbie
Rules
44×sub-neg
32×lower-+.f32
30×lower-+.f64
22×lower--.f32
20×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12419
24319
37919
411519
515219
617519
718619
818919
919019
079
0129
1179
2219
3269
4339
5419
6519
7659
8699
0696
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

explain224.0ms (2.3%)

Memory
-17.1MiB live, 120.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2560-0-(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))sensitivity2560
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2560
Confusion
Predicted +Predicted -
+2470
-90
Precision
0.96484375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24700
-900
Precision?
0.96484375
Recall?
1.0
Freqs
test
numberfreq
2256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms336×1valid
54.0ms160×2valid
1.0ms16×0valid
Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-log: 56.0ms (52.3% of total)
ival-div: 24.0ms (22.4% of total)
adjust: 13.0ms (12.1% of total)
ival-sub: 7.0ms (6.5% of total)
ival-log1p: 4.0ms (3.7% of total)
ival-add: 3.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune26.0ms (0.3%)

Memory
-37.3MiB live, 0.9MiB 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)

simplify6.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB 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×lower-+.f32
30×lower-+.f64
22×lower--.f32
20×lower--.f64
16×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11725
22125
32625
43325
54125
65125
76525
86925
06919
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)

localize71.0ms (0.7%)

Memory
8.0MiB live, 88.3MiB 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)))
✓accuracy7.8%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy7.8%
(log.f64 (-.f64 #s(literal 1 binary64) x))
Samples
30.0ms168×1valid
29.0ms80×2valid
1.0ms8×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 30.0ms (61.1% of total)
adjust: 7.0ms (14.2% of total)
ival-sub: 5.0ms (10.2% of total)
ival-div: 4.0ms (8.1% of total)
ival-log1p: 2.0ms (4.1% of total)
ival-add: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) x))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) 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))

rewrite223.0ms (2.2%)

Memory
19.5MiB live, 331.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 056×lower-*.f64
3 056×lower-*.f32
2 824×lower-fma.f64
2 824×lower-fma.f32
2 298×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
14123
224523
3216723
01044015
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 842
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(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 (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) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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 #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 (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 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.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 #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 x x)))) (log.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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 (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 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
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(/.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.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 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x 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 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.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 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.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 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) 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))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.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) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) 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))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (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) (+.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 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.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) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

simplify385.0ms (3.9%)

Memory
9.4MiB live, 639.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 270×lower-fma.f64
12 270×lower-fma.f32
4 396×lower-+.f64
4 396×lower-+.f32
3 574×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171122
16581000
22012927
08297900
Stop Event
1×iter limit
1×node limit
Counts
60 → 57
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))

eval119.0ms (1.2%)

Memory
-4.7MiB live, 191.4MiB allocated
Compiler

Compiled 28 422 to 2 474 computations (91.3% saved)

prune116.0ms (1.2%)

Memory
-25.7MiB live, 295.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New8918899
Fresh000
Picked101
Done000
Total8928900
Accuracy
100.0%
Counts
900 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(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))
▶99.8%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
4.6%
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶5.7%
(/.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))
▶5.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
▶100.0%
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
99.3%
(-.f64 #s(literal -1 binary64) x)
▶98.3%
#s(literal -1 binary64)
Compiler

Compiled 164 to 108 computations (34.1% saved)

simplify280.0ms (2.8%)

Memory
0.2MiB live, 320.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff192
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓cost-diff1088
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #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
(-.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 #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
(log1p.f64 (neg.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
✓cost-diff0
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
✓cost-diff13504
(/.f64 (log1p.f64 x) (log1p.f64 x))
Rules
11 616×lower-fma.f32
11 604×lower-fma.f64
2 514×lower-*.f32
2 512×lower-*.f64
1 742×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026160
053145
199145
2159139
3277133
4621133
51209133
63709133
08320129
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.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))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#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)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(log1p.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#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))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.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 (log1p.f64 (neg.f64 x)) (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))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#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)
(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)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(log1p.f64 x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))

localize245.0ms (2.5%)

Memory
7.3MiB live, 280.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓accuracy7.8%
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓accuracy7.8%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓accuracy100.0%
(/.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))
✓accuracy7.8%
(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%
(neg.f64 (*.f64 x x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 (*.f64 x x)))
✓accuracy55.7%
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
Samples
112.0ms169×1valid
77.0ms80×2valid
2.0ms7×0valid
Compiler

Compiled 198 to 33 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-log: 58.0ms (38.6% of total)
ival-div: 23.0ms (15.3% of total)
adjust: 21.0ms (14% of total)
ival-add: 14.0ms (9.3% of total)
ival-mult: 14.0ms (9.3% of total)
const: 7.0ms (4.7% of total)
ival-log1p: 6.0ms (4% of total)
ival-sub: 5.0ms (3.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 x) (log1p.f64 x))>
#<alt (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))>
#<alt (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 (*.f64 x x)))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (/.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))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (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)>
#<alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))>
#<alt (log1p.f64 x)>
#<alt (neg.f64 (*.f64 x x))>
#<alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<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 (- (* -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>
#<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 (* 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)>
#<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)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt 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 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ 1 (neg (* x x))))
1.0ms
x
@-inf
(- (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
1.0ms
x
@inf
(- (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 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 (neg (* x x)))) (log (+ 1 x)))

rewrite344.0ms (3.5%)

Memory
-21.4MiB live, 383.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 364×lower-/.f32
4 356×lower-/.f64
4 296×lower-fma.f32
4 284×lower-fma.f64
4 146×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026123
053118
125893
2194993
0848387
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 696
Calls
Call 1
Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) 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 #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 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(log1p.f64 x)
(neg.f64 (*.f64 x x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) #s(literal -1 binary64)))
(fma.f64 (log1p.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal -1 binary64)))))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify315.0ms (3.2%)

Memory
4.7MiB live, 442.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 082×lower-fma.f64
5 082×lower-fma.f32
4 558×lower-+.f64
4 558×lower-+.f32
3 058×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04743826
114553540
247053450
081103278
Stop Event
1×iter limit
1×node limit
Counts
204 → 199
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
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(*.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)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval174.0ms (1.8%)

Memory
16.0MiB live, 177.3MiB allocated
Compiler

Compiled 31 259 to 3 079 computations (90.2% saved)

prune215.0ms (2.2%)

Memory
-8.4MiB live, 271.5MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1 18341 187
Fresh123
Picked325
Done000
Total1 18781 195
Accuracy
100.0%
Counts
1 195 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
▶99.9%
(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))
✓99.8%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶100.0%
(/.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))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶100.0%
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
▶99.3%
(-.f64 #s(literal -1 binary64) x)
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 148 to 97 computations (34.5% saved)

simplify396.0ms (4%)

Memory
-1.2MiB live, 558.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 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 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))
✓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))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(+.f64 (neg.f64 x) #s(literal -1 binary64))
✓cost-diff128
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff0
(neg.f64 (*.f64 x x))
✓cost-diff0
(log1p.f64 (neg.f64 (*.f64 x x)))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
✓cost-diff0
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
Rules
18 128×lower-fma.f32
18 108×lower-fma.f64
3 452×lower-*.f32
3 448×lower-*.f64
2 786×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029175
061173
1131173
2290173
3573172
41272170
52416170
67030170
08343168
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(log1p.f64 x)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(neg.f64 x)
#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))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 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 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
(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 #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#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)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
Outputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(log1p.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
x
(log1p.f64 x)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#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))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 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 (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)))
(*.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
(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 #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#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)
(fma.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))) 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 #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)

localize136.0ms (1.4%)

Memory
10.5MiB live, 127.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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%
(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))
✓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))
✓accuracy100.0%
(+.f64 (neg.f64 x) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(neg.f64 (*.f64 x x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 (*.f64 x x)))
✓accuracy55.7%
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
Samples
91.0ms256×0valid
Compiler

Compiled 217 to 40 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
const: 31.0ms (41.7% of total)
ival-mult: 17.0ms (22.9% of total)
ival-add: 12.0ms (16.1% of total)
ival-sub: 6.0ms (8.1% of total)
ival-div: 3.0ms (4% of total)
ival-log1p: 3.0ms (4% of total)
ival-neg: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))>
#<alt (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 (*.f64 x x)))>
#<alt (neg.f64 (*.f64 x x))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))>
#<alt (+.f64 (neg.f64 x) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt (neg.f64 x)>
#<alt (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))>
#<alt (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))>
#<alt (/.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))>
#<alt (*.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)))>
#<alt (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))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))>
#<alt (log1p.f64 x)>
#<alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))>
#<alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<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 (- (* -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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 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 (- (* 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 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 1/3>
#<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

57 calls:

TimeVariablePointExpression
2.0ms
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
@-inf
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms
x
@inf
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms
x
@inf
(+ (* x (+ (* x -5/12) -1/2)) -1)

rewrite295.0ms (3%)

Memory
-14.4MiB live, 340.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 214×lower-/.f32
4 210×lower-/.f64
3 936×lower-*.f32
3 932×lower-*.f64
3 216×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029133
061131
1307131
22688131
08318131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 555
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 x x)
(neg.f64 x)
(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 -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 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 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 (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 #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(log1p.f64 x)
(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))
Outputs
(+.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (+.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (+.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (+.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal -2 binary64)) (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x))))) #s(literal -1 binary64)))
(fma.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal -1 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
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(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))))

simplify712.0ms (7.2%)

Memory
-130.5MiB live, 574.2MiB allocated
Algorithm
1×egg-herbie
Rules
17 386×lower-fma.f64
17 386×lower-fma.f32
5 402×lower-+.f64
5 402×lower-+.f32
4 792×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03392959
110202824
234272633
081992477
Stop Event
1×iter limit
1×node limit
Counts
228 → 227
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (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 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 (- (* -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 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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-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 (- (* 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))
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))))
1/3
(+ 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 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (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)))
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(* (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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) 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 x (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 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 x) (neg.f64 (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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) 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 (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 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
1/3
#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))

eval116.0ms (1.2%)

Memory
0.5MiB live, 184.4MiB allocated
Compiler

Compiled 21 121 to 2 264 computations (89.3% saved)

prune79.0ms (0.8%)

Memory
4.7MiB live, 165.8MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8353838
Fresh101
Picked325
Done022
Total8397846
Accuracy
100.0%
Counts
846 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(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))
✓99.8%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
▶34.4%
(/.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 (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))
▶99.8%
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
▶100.0%
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
✓99.3%
(-.f64 #s(literal -1 binary64) x)
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 83 to 52 computations (37.3% saved)

simplify293.0ms (2.9%)

Memory
-16.5MiB live, 341.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
✓cost-diff320
(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))
✓cost-diff640
(/.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 (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-diff1152
(*.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)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓cost-diff128
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 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 -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff128
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
Rules
10 242×lower-fma.f32
10 226×lower-fma.f64
3 574×lower-*.f32
3 566×lower-*.f64
2 806×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028218
055218
1130214
2332214
3772214
41838205
53478205
67576205
08286190
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
#s(literal -7/24 binary64)
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.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 (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 (*.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))))
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)))
(*.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))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal -1/4 binary64)
#s(literal -1/3 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)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
#s(literal -7/24 binary64)
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.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 (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 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 x #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)))
(*.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))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
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 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.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))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal -1/4 binary64)
#s(literal -1/3 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)
(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)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize114.0ms (1.1%)

Memory
8.4MiB live, 162.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.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 (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 -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
✓accuracy83.6%
(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))
✓accuracy51.7%
(*.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)))
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
Samples
68.0ms256×0valid
Compiler

Compiled 247 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 18.0ms (34% of total)
ival-add: 14.0ms (26.4% of total)
const: 14.0ms (26.4% of total)
ival-div: 5.0ms (9.4% of total)
ival-sub: 2.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))>
#<alt (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt (*.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)))>
#<alt (/.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 (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))>
#<alt (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))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))>
#<alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))>
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 (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)>
#<alt (* -7/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (+ (/ 1/2 (pow x 2)) (* 5/12 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 7/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) x)))))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* x (- (* -7/24 x) 5/12)) 1/2)>
#<alt (- (* x (- (* -7/24 x) 5/12)) 1/2)>
#<alt (* -7/24 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* -7/24 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))>
#<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 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (- (* -1/2 (pow x 2)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 2))>
#<alt (/ (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* x (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (/ -1 (pow x 3))>
#<alt (/ (- (* -1/2 x) 1) (pow x 3))>
#<alt (/ (- (* -1/2 x) 1) (pow x 3))>
#<alt (/ (- (* -1/2 x) 1) (pow x 3))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))>
#<alt -5/12>
#<alt (- (* -7/24 x) 5/12)>
#<alt (- (* -7/24 x) 5/12)>
#<alt (- (* -7/24 x) 5/12)>
#<alt (* -7/24 x)>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -7/24 x)>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x -7/24) -5/12)
0.0ms
x
@inf
(- (* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)) 1)
0.0ms
x
@-inf
(- (* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1)) 1)
0.0ms
x
@0
(* (* x x) (+ (* x (+ (/ (+ -1/2 (/ -1 x)) (* x x)) -1/4)) -1/3))
0.0ms
x
@inf
(/ (+ -1/2 (/ -1 x)) (* x x))

rewrite624.0ms (6.3%)

Memory
-7.8MiB live, 304.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 442×lower-*.f32
4 434×lower-*.f64
4 340×lower-/.f32
4 334×lower-/.f64
3 062×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028138
055138
1297136
22510133
08151129
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 485
Calls
Call 1
Inputs
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 x 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)))
(/.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 (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))
(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))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) x))
(+.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64)))
(+.f64 (*.f64 x #s(literal -7/24 binary64)) #s(literal -5/12 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))) (/.f64 #s(literal 25/144 binary64) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
(-.f64 (/.f64 #s(literal 25/144 binary64) (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(fma.f64 #s(literal -7/24 binary64) x #s(literal -5/12 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (+.f64 #s(literal 25/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) (neg.f64 (+.f64 #s(literal 25/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (*.f64 x #s(literal 35/288 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))) (neg.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
(/.f64 (-.f64 #s(literal 25/144 binary64) (*.f64 (*.f64 x x) #s(literal 49/576 binary64))) (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))) (*.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) #s(literal 25/144 binary64))) (*.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 25/144 binary64) (*.f64 (*.f64 x x) #s(literal 49/576 binary64)))) (neg.f64 (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))

simplify332.0ms (3.3%)

Memory
12.5MiB live, 330.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 898×lower-fma.f64
10 898×lower-fma.f32
3 614×lower-*.f64
3 614×lower-*.f32
2 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661202
14741181
216841128
347321109
088041019
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 4))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)
(* -7/24 (pow x 3))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 (pow x 3))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 7/24 (+ (/ 1/2 (pow x 2)) (* 5/12 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 7/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) x)))))
-1/2
(- (* -5/12 x) 1/2)
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(* -7/24 (pow x 2))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* -7/24 (pow x 2))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
-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 (pow x 2)) 1)
(- (* -1/2 (pow x 2)) 1)
(- (* -1/2 (pow x 2)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 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 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) (pow x 2))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(/ -1 (pow x 3))
(/ (- (* -1/2 x) 1) (pow x 3))
(/ (- (* -1/2 x) 1) (pow x 3))
(/ (- (* -1/2 x) 1) (pow x 3))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
-5/12
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 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))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 #s(literal -5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))) x)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 #s(literal -5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 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 (- (* -5/12 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 #s(literal -5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))) x)))
(* -7/24 (pow x 4))
(*.f64 #s(literal -7/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 #s(literal -5/12 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 7/24))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (- (* -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 (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -7/24 (pow x 3))
(*.f64 #s(literal -7/24 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))))
(* -7/24 (pow x 3))
(*.f64 #s(literal -7/24 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)))
(* -1 (* (pow x 3) (+ 7/24 (+ (/ 1/2 (pow x 2)) (* 5/12 (/ 1 x))))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -7/24 binary64) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (+ 7/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12) x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))))
-1/2
#s(literal -1/2 binary64)
(- (* -5/12 x) 1/2)
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(- (* x (- (* -7/24 x) 5/12)) 1/2)
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(* -7/24 (pow x 2))
(*.f64 #s(literal -7/24 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 x x))
(* -7/24 (pow x 2))
(*.f64 #s(literal -7/24 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 7/24 (* 5/12 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 5/12 (* 1/2 (/ 1 x))) x)) 7/24))
(*.f64 (+.f64 #s(literal -7/24 binary64) (/.f64 (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (*.f64 x 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 (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* -1/2 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* -1/2 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 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 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))))
(* -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 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x 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
#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 32/9 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 200/27 binary64) (*.f64 x x))) #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 (* -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 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) (pow x 2))
(/.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)) (*.f64 x x))
(* -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))
(* x (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(+.f64 #s(literal -1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(* -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 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 x) 1) (pow x 3))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 x) 1) (pow x 3))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 x) 1) (pow x 3))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))
-5/12
#s(literal -5/12 binary64)
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))

eval101.0ms (1%)

Memory
-2.3MiB live, 193.6MiB allocated
Compiler

Compiled 24 415 to 2 262 computations (90.7% saved)

prune75.0ms (0.8%)

Memory
0.4MiB live, 164.8MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6872689
Fresh000
Picked213
Done044
Total6897696
Accuracy
100.0%
Counts
696 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
✓99.9%
(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))
✓99.8%
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
51.5%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.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))
✓99.8%
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
✓99.3%
(-.f64 #s(literal -1 binary64) x)
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 315 to 118 computations (62.5% saved)

regimes10.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #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))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (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) (+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.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 (*.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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-20.3MiB live, 18.4MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #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))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #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 (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) (+.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.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 (*.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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
Calls

2 calls:

5.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #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))
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:

2.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%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)

regimes4.0ms (0%)

Memory
7.6MiB live, 7.6MiB 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 -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
Outputs
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
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
99.8%1x
99.8%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
5.4MiB live, 5.4MiB 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 -1/2 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
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%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
5.2MiB live, 5.2MiB 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
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
-33.5MiB live, 5.4MiB 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:

2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
1.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
98.3%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)

simplify6.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
12×sub-neg_binary64
6×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02452
13652
24552
35352
45452
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #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 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #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 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness968.0ms (9.7%)

Memory
43.8MiB live, 540.7MiB allocated
Rules
17 386×lower-fma.f64
17 386×lower-fma.f32
12 270×lower-fma.f64
12 270×lower-fma.f32
5 402×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029133
061131
1307131
22688131
08318131
03392959
110202824
234272633
081992477
0723
01223
14123
224523
3216723
01044015
02171122
16581000
22012927
08297900
026123
053118
125893
2194993
0848387
028138
055138
1297136
22510133
08151129
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 156 to 95 computations (39.1% saved)

preprocess129.0ms (1.3%)

Memory
-29.1MiB live, 128.6MiB allocated
Compiler

Compiled 140 to 72 computations (48.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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