Hyperbolic arcsine

Time bar (total: 11.0s)

analyze66.0ms (0.6%)

Memory
21.2MiB live, 103.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.7s (24.2%)

Memory
15.2MiB live, 2 194.2MiB allocated
Samples
940.0ms4 408×1valid
856.0ms1 575×2valid
368.0ms2 273×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 838.0ms (49.4% of total)
ival-hypot: 677.0ms (39.9% of total)
adjust: 89.0ms (5.2% of total)
ival-add: 75.0ms (4.4% of total)
ival-true: 7.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess33.0ms (0.3%)

Memory
-7.5MiB live, 31.1MiB allocated
Algorithm
1×egg-herbie
Rules
30×distribute-lft-neg-in
28×sub-neg
26×associate--r+
24×neg-mul-1
22×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413719
518419
621119
721419
079
0129
1169
0168
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

explain319.0ms (2.9%)

Memory
-9.3MiB live, 321.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
650-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
560-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1330
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation650
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue560
↳(*.f64 x x)overflow56
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow56
Confusion
Predicted +Predicted -
+2300
-026
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+23000
-0026
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
026
1206
224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
135.0ms112×2valid
72.0ms270×1valid
23.0ms130×0valid
Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-log: 138.0ms (70.2% of total)
ival-hypot: 36.0ms (18.3% of total)
adjust: 9.0ms (4.6% of total)
ival-add: 8.0ms (4.1% of total)
ival-mult: 5.0ms (2.5% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.3%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
8×lower-+.f32
4×lift-+.f64
4×lower-+.f64
4×+-commutative
2×lift-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
11633
01629
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize81.0ms (0.7%)

Memory
-4.2MiB live, 156.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy79.7%
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓accuracy76.9%
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓accuracy52.3%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
40.0ms56×2valid
25.0ms135×1valid
5.0ms65×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-log: 35.0ms (59.2% of total)
ival-hypot: 12.0ms (20.3% of total)
adjust: 5.0ms (8.5% of total)
ival-add: 5.0ms (8.5% of total)
ival-mult: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<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

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ x (sqrt (+ (* x x) 1))))
1.0ms
x
@-inf
(log (+ x (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
(log (+ x (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (* x x) 1)
0.0ms
x
@0
(+ (* x x) 1)

rewrite458.0ms (4.2%)

Memory
-1.6MiB live, 636.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 062×lower-fma.f64
6 062×lower-fma.f32
3 598×lower-*.f32
3 596×lower-*.f64
2 994×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01231
14431
229731
3315531
0873827
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 363
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))
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(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
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(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)))
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(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))

simplify391.0ms (3.5%)

Memory
-17.1MiB live, 383.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 038×lower-fma.f64
11 038×lower-fma.f32
4 124×lower-+.f64
4 124×lower-+.f32
2 226×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125525
1353517
2931509
32909479
47021479
08073448
Stop Event
1×iter limit
1×node limit
Counts
60 → 58
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x 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)
(pow x 2)
(*.f64 x x)

eval79.0ms (0.7%)

Memory
23.4MiB live, 105.8MiB allocated
Compiler

Compiled 11 948 to 1 635 computations (86.3% saved)

prune119.0ms (1.1%)

Memory
-24.0MiB live, 98.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New41110421
Fresh000
Picked101
Done000
Total41210422
Accuracy
100.0%
Counts
422 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.9%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
▶52.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
23.8%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
7.1%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
25.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶16.3%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶2.3%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
11.0%
(log.f64 (+.f64 x #s(literal 1 binary64)))
▶22.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 186 to 120 computations (35.5% saved)

simplify417.0ms (3.8%)

Memory
25.4MiB live, 299.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓cost-diff0
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓cost-diff384
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓cost-diff0
(log.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff128
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x #s(literal 3/40 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
Rules
9 616×lower-fma.f32
9 608×lower-fma.f64
2 080×lower-*.f32
2 070×lower-*.f64
1 794×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
043108
171108
2107102
318196
429596
545296
6106596
7262996
8439796
9662496
10744196
11758196
12766996
13772796
14782596
0801295
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
x
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 2 binary64)
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 #s(literal -1/2 binary64) x)
x
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize180.0ms (1.6%)

Memory
-37.7MiB live, 123.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
✓accuracy100.0%
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
✓accuracy100.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓accuracy100.0%
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓accuracy100.0%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 3/40 binary64))
Samples
118.0ms256×0invalid
Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-add: 36.0ms (34.5% of total)
ival-mult: 36.0ms (34.5% of total)
const: 16.0ms (15.3% of total)
ival-log: 8.0ms (7.7% of total)
ival-hypot: 4.0ms (3.8% of total)
ival-div: 2.0ms (1.9% of total)
ival-sub: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series384.0ms (3.5%)

Memory
20.9MiB live, 175.2MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))>
#<alt (log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))>
#<alt (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))>
#<alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)>
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 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 (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
Calls

51 calls:

TimeVariablePointExpression
106.0ms
x
@-inf
(log (+ x (- (/ -1/2 x) x)))
105.0ms
x
@inf
(log (+ x (- (/ -1/2 x) x)))
97.0ms
x
@-inf
(log (* x 2))
48.0ms
x
@0
(log (* x 2))
13.0ms
x
@0
(log (+ x (- (/ -1/2 x) x)))

rewrite335.0ms (3%)

Memory
32.4MiB live, 660.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 594×lower-fma.f32
8 586×lower-fma.f64
4 032×lower-*.f32
4 022×lower-*.f64
3 720×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02395
04390
115990
2117186
0834785
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 479
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
(*.f64 x (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 x #s(literal 2 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
Outputs
(+.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)
(+.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 x)))))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(*.f64 (fma.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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

simplify346.0ms (3.1%)

Memory
6.7MiB live, 762.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 732×lower-fma.f64
14 732×lower-fma.f32
4 108×lower-*.f64
4 108×lower-*.f32
2 410×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651270
14491222
211981211
336961165
089401111
Stop Event
1×iter limit
1×node limit
Counts
204 → 200
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 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)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x 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)
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 #s(literal 2 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))

eval90.0ms (0.8%)

Memory
-0.0MiB live, 239.2MiB allocated
Compiler

Compiled 15 573 to 1 798 computations (88.5% saved)

prune81.0ms (0.7%)

Memory
-22.3MiB live, 253.9MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New68615701
Fresh145
Picked055
Done000
Total68724711
Accuracy
100.0%
Counts
711 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
✓53.9%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
53.2%
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
52.9%
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
53.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
▶53.2%
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
52.9%
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
53.2%
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
▶53.9%
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
▶53.7%
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
52.4%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
52.4%
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
✓52.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
52.4%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
5.0%
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
▶3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
23.8%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
7.1%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
25.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓16.3%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓2.3%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
▶11.0%
(log.f64 (+.f64 x #s(literal 1 binary64)))
✓22.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 662 to 357 computations (46.1% saved)

simplify59.0ms (0.5%)

Memory
-8.6MiB live, 111.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff192
(log.f64 (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))
✓cost-diff320
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
✓cost-diff0
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
✓cost-diff0
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
Rules
1 204×lower-fma.f32
1 192×lower-fma.f64
1 110×lower-*.f32
1 092×lower-*.f64
502×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025183
049161
1100150
2210150
3460148
41114148
51612148
61831148
71889148
81889148
91889148
101889148
111908148
01908143
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
(*.f64 x (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 9/1600 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 x (*.f64 x #s(literal 3/40 binary64)))
(*.f64 x x)
x
#s(literal 3/40 binary64)
(*.f64 x (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 9/1600 binary64)
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log1p.f64 x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize109.0ms (1%)

Memory
16.7MiB live, 300.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy52.3%
(log.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
✓accuracy90.0%
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
✓accuracy99.7%
(*.f64 x #s(literal 3/40 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
Samples
51.0ms191×0valid
19.0ms65×0invalid
Compiler

Compiled 198 to 33 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 24.0ms (44.4% of total)
const: 17.0ms (31.4% of total)
ival-add: 9.0ms (16.6% of total)
ival-div: 2.0ms (3.7% of total)
ival-log1p: 2.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-11.7MiB live, 27.1MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)>
#<alt (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (*.f64 (*.f64 x x) #s(literal 3/40 binary64))>
#<alt (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)>
#<alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))>
#<alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (log.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 x>
#<alt (* x (+ 1 (* 3/40 (pow x 4))))>
#<alt (* x (+ 1 (* 3/40 (pow x 4))))>
#<alt (* x (+ 1 (* 3/40 (pow x 4))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1/36 (pow x 3))>
#<alt (* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))>
#<alt (* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))>
#<alt (* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))>
#<alt (* 9/1600 (pow x 7))>
#<alt (* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 9/1600 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))>
#<alt (* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))>
#<alt (* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))>
#<alt -1/36>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (- (* 9/1600 (pow x 4)) 1/36)>
#<alt (* 9/1600 (pow x 4))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 9/1600 (pow x 4))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (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)>
#<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 (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt 6>
#<alt (+ 6 (* -27/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))>
#<alt (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (* x (* x x)))
1.0ms
x
@inf
(+ (* (* (+ (* (* x (* x (* x x))) 9/1600) -1/36) (* x (* x x))) (/ 1 (+ (* 3/40 (* x x)) 1/6))) x)
1.0ms
x
@inf
(* (+ (* (* x (* x (* x x))) 9/1600) -1/36) (* x (* x x)))
0.0ms
x
@-inf
(+ (* (* (+ (* (* x (* x (* x x))) 9/1600) -1/36) (* x (* x x))) (/ 1 (+ (* 3/40 (* x x)) 1/6))) x)
0.0ms
x
@inf
(+ (* (* (* x x) 3/40) (* x (* x x))) x)

rewrite315.0ms (2.9%)

Memory
8.3MiB live, 599.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 050×lower-fma.f32
6 038×lower-fma.f64
4 782×lower-*.f32
4 764×lower-*.f64
4 372×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025146
049119
1197110
21299108
08678103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 673
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal 3/40 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (neg.f64 x)))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64) #s(literal -1/46656 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6400 binary64)))) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64))) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) x)
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
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(pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 27/64000 binary64) #s(literal 1/216 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64) #s(literal -1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6400 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64) #s(literal -1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6400 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 81/2560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)))))

simplify418.0ms (3.8%)

Memory
34.9MiB live, 381.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 002×lower-fma.f64
9 002×lower-fma.f32
3 460×lower-*.f64
3 460×lower-*.f32
2 196×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581427
14101401
29811378
327731344
466211340
081391268
Stop Event
1×iter limit
1×node limit
Counts
204 → 198
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
x
(* x (+ 1 (* 3/40 (pow x 4))))
(* x (+ 1 (* 3/40 (pow x 4))))
(* x (+ 1 (* 3/40 (pow x 4))))
(* 3/40 (pow x 5))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* 3/40 (pow x 5))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(* 9/1600 (pow x 7))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* 9/1600 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
-1/36
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(- (* 9/1600 (pow x 4)) 1/36)
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* 9/1600 (pow x 4))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 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)))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
6
(+ 6 (* -27/10 (pow x 2)))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(* 3/40 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* 3/40 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.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)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* 3/40 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* x (+ 1 (* 3/40 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* x (+ 1 (* 3/40 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* (pow x 5) (+ 3/40 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) x)
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* 3/40 (pow x 5))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)))
(* (pow x 3) (- (* 9/1600 (pow x 4)) 1/36))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)))
(* 9/1600 (pow x 7))
(*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 7) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* 9/1600 (pow x 7))
(*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 9/1600)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 9/1600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
-1/36
#s(literal -1/36 binary64)
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(- (* 9/1600 (pow x 4)) 1/36)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* 9/1600 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* 9/1600 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 9/1600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9/1600 binary64) #s(literal -1/36 binary64))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow x 4)
(*.f64 (*.f64 x x) (*.f64 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 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.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 (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)) (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)) (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 (log.f64 #s(literal -1 binary64)) (+.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
#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))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -27/10 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 243/200 binary64)) #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2187/4000 binary64) #s(literal 243/200 binary64)) #s(literal -27/10 binary64)) #s(literal 6 binary64))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 16000/243 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 16000/243 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))

eval248.0ms (2.2%)

Memory
6.7MiB live, 192.3MiB allocated
Compiler

Compiled 34 394 to 2 472 computations (92.8% saved)

prune109.0ms (1%)

Memory
-24.6MiB live, 164.5MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1 03161 037
Fresh10414
Picked505
Done055
Total1 046151 061
Accuracy
100.0%
Counts
1 061 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.9%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
▶53.1%
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
53.7%
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
53.3%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
✓52.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
▶53.7%
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
▶52.6%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
▶58.2%
(log1p.f64 x)
▶23.8%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
7.1%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
25.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓16.3%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓2.3%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓22.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 330 to 195 computations (40.9% saved)

simplify276.0ms (2.5%)

Memory
8.4MiB live, 440.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓cost-diff0
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
✓cost-diff0
(*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x)
✓cost-diff0
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
✓cost-diff128
(neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff320
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓cost-diff0
(log1p.f64 x)
Rules
10 546×lower-fma.f32
10 530×lower-fma.f64
5 272×lower-*.f32
5 252×lower-*.f64
2 334×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036331
070302
1146300
2335284
31097284
43109284
56078284
08036272
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(log1p.f64 x)
x
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))
#s(literal -1/36 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
x
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)))
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64))
(*.f64 x x)
#s(literal 9/1600 binary64)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1/36 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
Outputs
(log1p.f64 x)
x
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) x)
(*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))
#s(literal -1/36 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 9/1600 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))) #s(literal -3/3200 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) x)
(*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 9/1600 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))) #s(literal -3/3200 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 9/1600 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))) #s(literal -3/3200 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
x
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (fma.f64 #s(literal 9/1600 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))) #s(literal -3/3200 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9/1600 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9/1600 binary64)) #s(literal 1/36 binary64)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)))
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64))
(*.f64 x x)
#s(literal 9/1600 binary64)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
#s(literal 1/36 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

localize213.0ms (1.9%)

Memory
-5.7MiB live, 167.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy99.6%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓accuracy99.8%
(*.f64 x #s(literal 3/40 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
✓accuracy98.2%
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
✓accuracy83.8%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
✓accuracy86.4%
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(log1p.f64 x)
Samples
115.0ms129×0invalid
42.0ms127×0valid
Compiler

Compiled 366 to 46 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
const: 89.0ms (64.5% of total)
ival-mult: 27.0ms (19.6% of total)
ival-add: 9.0ms (6.5% of total)
ival-div: 6.0ms (4.3% of total)
ival-log: 2.0ms (1.4% of total)
ival-log1p: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-25.8MiB live, 11.8MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (log1p.f64 x)>
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)>
#<alt (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))>
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)>
#<alt (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x)>
#<alt (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))>
#<alt (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))>
#<alt (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))>
#<alt (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))>
#<alt (*.f64 x #s(literal 3/40 binary64))>
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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6))))>
#<alt (* 17/27 x)>
#<alt (* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 17/27 (* 200/243 (/ 1 (pow x 2)))) (/ 4000/2187 (pow x 4))))>
#<alt (* x (- (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (/ 4000/2187 (pow x 4))))>
#<alt (* 17/27 x)>
#<alt (* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))))))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1/36 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)>
#<alt (/ -10/27 (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ -10/27 (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))>
#<alt (/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt 6>
#<alt (+ 6 (* -27/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))>
#<alt (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 40/3 (pow x 2))>
#<alt (/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* -81/400 (pow x 3))>
#<alt (* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (pow x 4))))) x))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -3/40 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 27/800 (pow x 2)) 3/40)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 27/800 (* -243/16000 (pow x 2)))) 3/40)))>
#<alt (/ 10/27 (pow x 2))>
#<alt (/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 10/27 (pow x 2))>
#<alt (/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
Calls

57 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
(+ (* x 2) (/ 1/2 x))
1.0ms
x
@0
(/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36))
1.0ms
x
@inf
(+ (* (* (* x (+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) x) x) x)
0.0ms
x
@0
(* (* x (+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) x)
0.0ms
x
@-inf
(+ (* (* (* x (+ (* (/ (* x (* (* x x) 9/1600)) (+ (* (* x x) (* (* x x) 9/1600)) -1/36)) (* x (+ (* x (* x 3/40)) -1/6))) (neg (/ 1/36 (+ (* 3/40 (* x x)) 1/6))))) x) x) x)

rewrite330.0ms (3%)

Memory
37.1MiB live, 460.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 248×lower-/.f32
4 240×lower-/.f64
4 078×lower-*.f32
4 058×lower-*.f64
3 876×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036262
070235
1281220
22118220
08189209
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 664
Calls
Call 1
Inputs
(log1p.f64 x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x)
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x #s(literal 3/40 binary64))
Outputs
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(+.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))))
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(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1/1296 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1/46656 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1/1296 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1/36 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1/36 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)))))
(/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1/36 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))
(*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(*.f64 x #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) x)

simplify504.0ms (4.6%)

Memory
1.3MiB live, 436.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 584×lower-fma.f64
9 584×lower-fma.f32
4 666×lower-*.f64
4 666×lower-*.f32
3 806×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03181959
17991917
220671909
363301906
080641844
Stop Event
1×iter limit
1×node limit
Counts
228 → 224
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))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6))))
(* 17/27 x)
(* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))
(* x (- (+ 17/27 (* 200/243 (/ 1 (pow x 2)))) (/ 4000/2187 (pow x 4))))
(* x (- (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (/ 4000/2187 (pow x 4))))
(* 17/27 x)
(* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))))))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(* -1/36 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)
(/ -10/27 (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ -10/27 (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
6
(+ 6 (* -27/10 (pow x 2)))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/ 40/3 (pow x 2))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(* -81/400 (pow x 3))
(* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))
(* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))
(/ 1 x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (pow x 4))))) x))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* -3/40 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 27/800 (pow x 2)) 3/40)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 27/800 (* -243/16000 (pow x 2)))) 3/40)))
(/ 10/27 (pow x 2))
(/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))
(/ 10/27 (pow x 2))
(/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 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 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.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)) (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))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -27/800 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64))) x)
(* 17/27 x)
(*.f64 x #s(literal 17/27 binary64))
(* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))))
(* x (- (+ 17/27 (* 200/243 (/ 1 (pow x 2)))) (/ 4000/2187 (pow x 4))))
(*.f64 x (+.f64 (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))) (/.f64 #s(literal -4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* x (- (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (/ 4000/2187 (pow x 4))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))) (/.f64 #s(literal -4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 17/27 x)
(*.f64 x #s(literal 17/27 binary64))
(* x (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))))
(* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (* 200/243 (/ 1 (pow x 2)))))))
(*.f64 x (+.f64 (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))) (/.f64 #s(literal -4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (/ 4000/2187 (pow x 4)) (+ 17/27 (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 17/27 binary64) (/.f64 #s(literal 200/243 binary64) (*.f64 x x))) (/.f64 #s(literal -4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(* -1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 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)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 3/40 (* -27/800 (pow x 2)))) 1/6)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -27/800 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 3/40 (* (pow x 2) (- (* 243/16000 (pow x 2)) 27/800)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 243/16000 binary64) #s(literal -27/800 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(/ -10/27 (pow x 2))
(/.f64 #s(literal -10/27 binary64) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -10/27 (pow x 2))
(/.f64 #s(literal -10/27 binary64) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) 10/27) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (*.f64 x x))
(/ (- (* 200/243 (/ 1 (pow x 2))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6)))) (+ 10/27 (/ 4000/2187 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 200/243 binary64) (*.f64 x x)) #s(literal -10/27 binary64)) (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(* 3/40 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 3/40 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(* 3/40 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 3/40 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+ (log 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -8 binary64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 64/3 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
6
#s(literal 6 binary64)
(+ 6 (* -27/10 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* 243/200 (pow x 2)) 27/10)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 243/200 binary64) #s(literal -27/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 243/200 (* -2187/4000 (pow x 2)))) 27/10)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2187/4000 binary64)) #s(literal 243/200 binary64)) #s(literal -27/10 binary64))) #s(literal 6 binary64))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(/ 40/3 (pow x 2))
(/.f64 #s(literal 40/3 binary64) (*.f64 x x))
(/ (- 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (* 800/27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 40/3 (/ 16000/243 (pow x 4))) (+ (* 800/27 (/ 1 (pow x 2))) (* 320000/2187 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal -800/27 binary64) (*.f64 x x))) (/.f64 #s(literal 16000/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -320000/2187 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(* -81/400 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81/400 binary64))
(* (pow x 3) (- (* -6561/160000 (pow x 4)) 81/400))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6561/160000 binary64) #s(literal -81/400 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* -531441/64000000 (pow x 4)) 6561/160000)) 81/400))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -531441/64000000 binary64) #s(literal -6561/160000 binary64)) #s(literal -81/400 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -43046721/25600000000 (pow x 4)) 531441/64000000)) 6561/160000)) 81/400))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -43046721/25600000000 binary64) #s(literal -531441/64000000 binary64)) #s(literal -6561/160000 binary64)) #s(literal -81/400 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (/ 160000/6561 (pow x 8)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 400/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 160000/6561 binary64) (pow.f64 x #s(literal 8 binary64))))) x)
(/ (+ 1 (+ (* 400/81 (/ 1 (pow x 4))) (+ (* 64000000/531441 (/ 1 (pow x 12))) (/ 160000/6561 (pow x 8))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 160000/6561 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64000000/531441 binary64) (pow.f64 x #s(literal 12 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 400/81 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 400/81 (* 160000/6561 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -400/81 binary64) (/.f64 #s(literal -160000/6561 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 160000/6561 (* 64000000/531441 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 400/81 (/ 1 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 400/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 160000/6561 binary64) (/.f64 #s(literal 64000000/531441 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -3/40 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/40 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 27/800 (pow x 2)) 3/40)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 27/800 binary64) #s(literal -3/40 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 27/800 (* -243/16000 (pow x 2)))) 3/40)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -243/16000 binary64) #s(literal 27/800 binary64)) #s(literal -3/40 binary64)) #s(literal 1/6 binary64))
(/ 10/27 (pow x 2))
(/.f64 #s(literal 10/27 binary64) (*.f64 x x))
(/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 10/27 binary64) (/.f64 #s(literal -200/243 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 10/27 binary64) (/.f64 #s(literal -200/243 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -200/243 binary64) (*.f64 x x))) (-.f64 #s(literal 10/27 binary64) (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 10/27 (pow x 2))
(/.f64 #s(literal 10/27 binary64) (*.f64 x x))
(/ (- 10/27 (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 10/27 binary64) (/.f64 #s(literal -200/243 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (* 200/243 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 10/27 binary64) (/.f64 #s(literal -200/243 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 10/27 (/ 4000/2187 (pow x 4))) (+ (* 200/243 (/ 1 (pow x 2))) (* 80000/19683 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4000/2187 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -200/243 binary64) (*.f64 x x))) (-.f64 #s(literal 10/27 binary64) (/.f64 #s(literal 80000/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))

eval225.0ms (2%)

Memory
7.4MiB live, 228.1MiB allocated
Compiler

Compiled 48 108 to 3 784 computations (92.1% saved)

prune128.0ms (1.2%)

Memory
-11.1MiB live, 279.4MiB allocated
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New98513998
Fresh235
Picked145
Done055
Total988251 013
Accuracy
100.0%
Counts
1 013 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.9%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
53.5%
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
53.7%
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
53.7%
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
53.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
54.0%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
53.7%
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
✓52.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
54.0%
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
54.0%
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
11.2%
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
✓53.7%
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
53.7%
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
✓52.6%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
53.7%
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
52.6%
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
13.2%
(*.f64 x #s(literal 17/27 binary64))
✓58.2%
(log1p.f64 x)
✓23.8%
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
7.1%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
25.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓16.3%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓2.3%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓22.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 1 038 to 360 computations (65.3% saved)

regimes37.0ms (0.3%)

Memory
34.7MiB live, 72.4MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
Calls

3 calls:

13.0ms
x
12.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%3x
90.3%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
90.3%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-13.4MiB live, 26.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Memory
-13.8MiB live, 25.5MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes30.0ms (0.3%)

Memory
20.1MiB live, 59.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))) x) x x)
Outputs
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

3 calls:

10.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
75.3%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
75.3%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
75.3%2x
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory
-22.8MiB live, 54.5MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
Calls

3 calls:

14.0ms
x
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
60.2%2x
60.2%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
60.2%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
(log1p.f64 x)
Outputs
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(log1p.f64 x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
60.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes29.0ms (0.3%)

Memory
-12.7MiB live, 64.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -3/40 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) x)
Outputs
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
Calls

3 calls:

11.0ms
x
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
54.0%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
54.0%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
54.0%1x
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-10.8MiB live, 28.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 40/3 binary64) (*.f64 x x)) x)
Outputs
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
Calls

3 calls:

5.0ms
x
5.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
53.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
53.9%1x
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
Outputs
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
Calls

3 calls:

4.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
53.7%1x
53.7%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
53.7%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
Outputs
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.3%1x
53.3%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
53.3%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
-62.4MiB live, 14.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
Outputs
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
Calls

3 calls:

15.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
52.6%1x
52.6%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
52.6%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
Outputs
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
52.6%1x
52.6%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
52.6%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 17/27 binary64))
Outputs
(*.f64 x #s(literal 17/27 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
13.2%1x
13.2%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
13.2%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch117.0ms (1.1%)

Memory
-6.4MiB live, 31.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.00020686406306163625
14.668091359739106
101.0ms
-109.1876792280788
-2.3693083397495136e-9
Samples
102.0ms304×0valid
Compiler

Compiled 499 to 333 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-hypot: 5.0ms (47.3% of total)
ival-log: 3.0ms (28.4% of total)
ival-add: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00020686406306163625
14.668091359739106
4.0ms
-109.1876792280788
-2.3693083397495136e-9
Samples
2.0ms32×0valid
Compiler

Compiled 439 to 293 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-hypot: 1.0ms (88.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.00020686406306163625
14.668091359739106
1.0ms
-109.1876792280788
-2.3693083397495136e-9
Samples
3.0ms64×0valid
Compiler

Compiled 412 to 275 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (46% of total)
ival-hypot: 1.0ms (46% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
-32.6MiB live, 4.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
0.00020686406306163625
14.668091359739106
Samples
4.0ms80×0valid
Compiler

Compiled 220 to 144 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 1.0ms (37.3% of total)
ival-hypot: 1.0ms (37.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.00020686406306163625
14.668091359739106
Samples
5.0ms96×0valid
Compiler

Compiled 220 to 144 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-hypot: 2.0ms (61% of total)
ival-log: 1.0ms (30.5% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00020686406306163625
14.668091359739106
Compiler

Compiled 202 to 126 computations (37.6% saved)

simplify8.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066230
181230
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log.f64 (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log.f64 (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log1p.f64 x))
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x #s(literal 17/27 binary64))
Outputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log.f64 (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log.f64 (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x) (log1p.f64 x))
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x)
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 x #s(literal 17/27 binary64))

soundness1.4s (12.7%)

Memory
3.1MiB live, 1 111.9MiB allocated
Rules
14 732×lower-fma.f64
14 732×lower-fma.f32
11 038×lower-fma.f64
11 038×lower-fma.f32
9 584×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036262
070235
1281220
22118220
08189209
03181959
17991917
220671909
363301906
080641844
01651270
14491222
211981211
336961165
089401111
01581427
14101401
29811378
327731344
466211340
081391268
025146
049119
1197110
21299108
08678103
02395
04390
115990
2117186
0834785
0125525
1353517
2931509
32909479
47021479
08073448
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 649 to 328 computations (49.5% saved)

preprocess171.0ms (1.5%)

Memory
-3.4MiB live, 235.6MiB allocated
Compiler

Compiled 532 to 174 computations (67.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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