Hyperbolic arcsine

Time bar (total: 11.6s)

analyze98.0ms (0.9%)

Algorithm
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 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-add: 12.0ms (30.4% of total)
ival-log: 9.0ms (22.8% of total)
ival-mult: 9.0ms (22.8% of total)
ival-sqrt: 8.0ms (20.3% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

sample2.7s (23%)

Results
1.3s2732×2valid
869.0ms3280×1valid
171.0ms2244×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 836.0ms (48.1% of total)
ival-sqrt: 241.0ms (13.9% of total)
ival-add: 233.0ms (13.4% of total)
backward-pass: 217.0ms (12.5% of total)
ival-mult: 193.0ms (11.1% of total)
const: 17.0ms (1% of total)
Bogosity

preprocess25.0ms (0.2%)

Algorithm
egg-herbie
Rules
216×fnmadd-define
196×fmsub-define
194×fnmsub-define
150×sum3-define
128×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01427
13419
26419
311419
425219
545519
666119
779919
883019
078
1136
2146
3156
0156
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(log (+ x (sqrt (+ (* x x) 1))))
Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Call 2
Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))))
Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log (+ x (hypot 1 x)))
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))
(log (- (hypot 1 x) x))
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))))
(neg (log (- (hypot 1 x) x)))

explain202.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1080-1(-0.013697895295300721)(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
780-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
770-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-x
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-#s(literal 1 binary64)
Results
87.0ms160×2valid
51.0ms204×1valid
15.0ms148×0valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-log: 35.0ms (39.1% of total)
ival-sqrt: 18.0ms (20.1% of total)
ival-add: 14.0ms (15.6% of total)
backward-pass: 12.0ms (13.4% of total)
ival-mult: 9.0ms (10% of total)
const: 1.0ms (1.1% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
32.7%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
hypot-1-def
sqrt-lowering-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
21516
01516
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
(+ x (sqrt (+ (* 1 1) (* x x))))
x
(sqrt (+ (* 1 1) (* x x)))
1
Outputs
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+ x (sqrt (+ (* 1 1) (* x x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize143.0ms (1.2%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy99.8%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Results
119.0ms182×5exit
8.0ms74×0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-log: 27.0ms (28.8% of total)
backward-pass: 26.0ms (27.7% of total)
compiled-spec: 20.0ms (21.3% of total)
ival-add: 9.0ms (9.6% of total)
ival-mult: 7.0ms (7.5% of total)
ival-sqrt: 4.0ms (4.3% of total)
const: 1.0ms (1.1% of total)

series5.0ms (0%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log (+ x (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ x (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
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) (- (* (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)))))>
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@-inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
0.0ms
x
@inf
(+ x (sqrt (+ (* 1 1) (* x x))))
0.0ms
x
@-inf
(+ x (sqrt (+ (* 1 1) (* x x))))

rewrite254.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1820×*-lowering-*.f32
1820×*-lowering-*.f64
1708×fma-lowering-fma.f32
1708×fma-lowering-fma.f64
1576×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
14114
232614
3360914
0848514
Stop Event
iter limit
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
(+ x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
Outputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))) (log.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
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(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))))
(hypot.f64 #s(literal 1 binary64) x)
(hypot.f64 #s(literal 1 binary64) (exp.f64 (log.f64 x)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))

simplify253.0ms (2.2%)

Algorithm
egg-herbie
Rules
3480×+-lowering-+.f64
3480×+-lowering-+.f32
2488×*-lowering-*.f32
2488×*-lowering-*.f64
1576×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0122434
1355365
21103351
33812333
08439333
Stop Event
iter limit
node limit
Counts
36 → 36
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) (- (* (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)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(+ (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 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.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 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.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 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x 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))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.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))))
(+.f64 (*.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))))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ -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)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))

eval21.0ms (0.2%)

Compiler

Compiled 5033 to 657 computations (86.9% saved)

prune57.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New16411175
Fresh000
Picked011
Done000
Total16412176
Accuracy
100.0%
Counts
176 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
12.6%
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
42.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
44.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
42.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
6.2%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
30.9%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
30.3%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
28.2%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
32.7%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
27.3%
(log.f64 (+.f64 x x))
44.8%
x
Compiler

Compiled 353 to 205 computations (41.9% saved)

simplify166.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
Rules
2268×fma-define
1752×fma-lowering-fma.f32
1752×fma-lowering-fma.f64
614×*-lowering-*.f32
614×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025151
171137
2212135
3635135
41422135
52187135
62524135
72534135
82534135
92539135
02539135
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (* x -1/6))))
x
(+ 1 (* x (* x -1/6)))
1
(* x (* x -1/6))
(* x -1/6)
-1/6
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
1
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(* x x)
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))
-1/6
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
(+ 3/40 (* (* x x) -5/112))
3/40
(* (* x x) -5/112)
-5/112
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
x
Outputs
x
(* x (+ 1 (* x (* x -1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
x
(+ 1 (* x (* x -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/6))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(+ 3/40 (* (* x x) -5/112))
(+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))
3/40
#s(literal 3/40 binary64)
(* (* x x) -5/112)
(*.f64 (*.f64 x x) #s(literal -5/112 binary64))
-5/112
#s(literal -5/112 binary64)
(log (/ -1/2 x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x

localize148.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
accuracy99.8%
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
accuracy100.0%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -5/112 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
accuracy99.9%
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
accuracy99.9%
(*.f64 x #s(literal -1/6 binary64))
Results
60.0ms179×0invalid
32.0ms77×0valid
Compiler

Compiled 177 to 26 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 14.0ms (33.8% of total)
...c/correct-round.rkt:119:19: 11.0ms (26.6% of total)
ival-add: 6.0ms (14.5% of total)
ival-div: 5.0ms (12.1% of total)
ival-log: 5.0ms (12.1% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* x (* x -1/6))))>
#<alt (+ 1 (* x (* x -1/6)))>
#<alt (* x (* x -1/6))>
#<alt (* x -1/6)>
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))>
#<alt (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))>
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))>
#<alt (* x x)>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)>
#<alt (+ -1/2 (/ 1/8 (* x x)))>
#<alt (/ 1/8 (* x x))>
#<alt (* (* x x) -5/112)>
#<alt (* (* x x) (+ 3/40 (* (* x x) -5/112)))>
Outputs
#<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 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 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 (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (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)>
#<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 (/ -1/2 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 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<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)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
Calls

48 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log (/ -1/2 x))
21.0ms
x
@-inf
(log (/ -1/2 x))
6.0ms
x
@inf
(log (/ -1/2 x))
2.0ms
x
@0
(/ 1/8 (* x x))
1.0ms
x
@0
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))

rewrite354.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
3250×/-lowering-/.f32
3250×/-lowering-/.f64
3194×*-lowering-*.f32
3194×*-lowering-*.f64
2042×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025118
1163107
21459105
08163105
Stop Event
iter limit
node limit
Counts
16 → 483
Calls
Call 1
Inputs
(* x (+ 1 (* x (* x -1/6))))
(+ 1 (* x (* x -1/6)))
(* x (* x -1/6))
(* x -1/6)
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(* x x)
(log (/ -1/2 x))
(/ -1/2 x)
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(/ 1/8 (* x x))
(* (* x x) -5/112)
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
Outputs
(+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))))) (neg.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(*.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) x)
(*.f64 (+.f64 (*.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x)))))

simplify279.0ms (2.4%)

Algorithm
egg-herbie
Rules
3434×+-lowering-+.f64
3434×+-lowering-+.f32
3280×*-lowering-*.f32
3280×*-lowering-*.f64
1320×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431459
13691245
210571211
332571207
083431207
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
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)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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)
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))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (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)
(+ (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)
(/ -1/2 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 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* 3/40 (pow x 2))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 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))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
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(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -5/112 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))

eval87.0ms (0.8%)

Compiler

Compiled 20550 to 1983 computations (90.4% saved)

prune94.0ms (0.8%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New7413744
Fresh156
Picked055
Done011
Total74214756
Accuracy
100.0%
Counts
756 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
5.4%
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
12.6%
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
42.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
42.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
44.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
42.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
6.2%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
30.9%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
30.3%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
28.2%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
32.7%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
27.3%
(log.f64 (+.f64 x x))
44.8%
x
Compiler

Compiled 371 to 212 computations (42.9% saved)

simplify191.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff256
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
cost-diff320
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
cost-diff448
(log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
cost-diff640
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
cost-diff0
(*.f64 x x)
cost-diff512
(-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff512
(/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
cost-diff512
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
cost-diff0
(+.f64 x x)
cost-diff0
(log.f64 (+.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
cost-diff0
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
Rules
2248×fma-lowering-fma.f32
2248×fma-lowering-fma.f64
2062×fnmsub-define
1900×fmm-def
1480×fnmadd-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
037304
1110275
2293249
3907246
42664241
56942239
08118239
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))
1
(* (* x x) (+ -1/6 (* (* x x) 3/40)))
(* x x)
(+ -1/6 (* (* x x) 3/40))
-1/6
(* (* x x) 3/40)
3/40
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
x
(* -1/6 (* x x))
-1/6
(* x x)
(log (+ x x))
(+ x x)
x
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))
(- (* x x) (+ 1 (* x x)))
(* x x)
x
(+ 1 (* x x))
1
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))))
(neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))
(- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))
0
(+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))
(* x (* x x))
x
(* x x)
(pow (+ 1 (* x x)) 3/2)
(+ 1 (* x x))
1
3/2
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
Outputs
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/6 (* (* x x) 3/40)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x x)
(*.f64 x x)
(+ -1/6 (* (* x x) 3/40))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* x x) 3/40)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
3/40
#s(literal 3/40 binary64)
(+ (* x (* -1/6 (* x x))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (* -1/6 (* x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
x
(* -1/6 (* x x))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* x x)
(*.f64 x x)
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(- (* x x) (+ 1 (* x x)))
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(- x (sqrt (+ (* 1 1) (* x x))))
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))))
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))))
(log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))
(neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))
(+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))
(- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))
0
#s(literal 0 binary64)
(+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))
(+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(pow (+ 1 (* x x)) 3/2)
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
3/2
#s(literal 3/2 binary64)
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))
(log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))))
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))))
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (hypot.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))))
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
(*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(- x (sqrt (+ (* 1 1) (* x x))))
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)

localize976.0ms (8.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))
accuracy100.0%
(log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
accuracy100.0%
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(+.f64 x x)
accuracy100.0%
(log.f64 (+.f64 x x))
accuracy100.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
Results
801.0ms127×5exit
88.0ms128×0invalid
1.0ms0valid
Compiler

Compiled 357 to 37 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 606.0ms
ival-pow: 178.0ms (29.4% of total)
ival-log: 115.0ms (19% of total)
backward-pass: 80.0ms (13.2% of total)
ival-add: 66.0ms (10.9% of total)
ival-mult: 48.0ms (7.9% of total)
ival-sub: 36.0ms (5.9% of total)
compiled-spec: 35.0ms (5.8% of total)
ival-sqrt: 20.0ms (3.3% of total)
...c/correct-round.rkt:119:19: 11.0ms (1.8% of total)
ival-neg: 8.0ms (1.3% of total)
ival-div: 7.0ms (1.2% of total)
const: 2.0ms (0.3% of total)

series327.0ms (2.8%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))))>
#<alt (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))>
#<alt (* (* x x) (+ -1/6 (* (* x x) 3/40)))>
#<alt (* x x)>
#<alt (+ (* x (* -1/6 (* x x))) x)>
#<alt (* x (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))>
#<alt (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))>
#<alt (- (* x x) (+ 1 (* x x)))>
#<alt (- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))>
#<alt (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))>
#<alt (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))>
#<alt (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (* (* x x) 3/40)>
#<alt (+ -1/6 (* (* x x) 3/40))>
#<alt (- x (sqrt (+ (* 1 1) (* x x))))>
#<alt (+ 1 (* x x))>
#<alt (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))>
#<alt (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))))>
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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<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 (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 (* -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 (* -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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<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 (* 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 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>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<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) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))>
#<alt (- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))>
#<alt (- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 3/2 x) 1))>
#<alt (* x (- (* x (+ 3/2 (* 7/6 x))) 1))>
#<alt (* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))>
#<alt (+ (log 3) (* -2 (log (/ -1 x))))>
#<alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))>
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))>
#<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 -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>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))>
#<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 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1/2 x))) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))>
#<alt (- (+ 1/2 (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 2 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* 3/2 (pow x 2))>
#<alt (* (pow x 2) (+ 3/2 x))>
#<alt (* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))>
#<alt (* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))>
#<alt (+ (log 2) (* -3 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))>
#<alt (+ (log 3/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))>
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))>
Calls

66 calls:

TimeVariablePointExpression
292.0ms
x
@-inf
(log (+ x x))
15.0ms
x
@0
(log (+ x x))
6.0ms
x
@inf
(log (+ x x))
1.0ms
x
@0
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))
1.0ms
x
@-inf
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))

rewrite311.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
2832×fma-lowering-fma.f32
2832×fma-lowering-fma.f64
2342×*-lowering-*.f32
2342×*-lowering-*.f64
1918×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037204
1269158
22730152
08332152
Stop Event
iter limit
node limit
Counts
22 → 486
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))))
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))
(* (* x x) (+ -1/6 (* (* x x) 3/40)))
(* x x)
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
(* -1/6 (* x x))
(log (+ x x))
(+ x x)
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))
(- (* x x) (+ 1 (* x x)))
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))
(* (* x x) 3/40)
(+ -1/6 (* (* x x) 3/40))
(- x (sqrt (+ (* 1 1) (* x x))))
(+ 1 (* x x))
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))))
Outputs
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) x)
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x)
(fma.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x x) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) x)
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(neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))

simplify321.0ms (2.8%)

Algorithm
egg-herbie
Rules
5280×+-lowering-+.f64
5280×+-lowering-+.f32
3398×*-lowering-*.f32
3398×*-lowering-*.f64
2604×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03322277
110211936
234211885
086071885
Stop Event
iter limit
node limit
Counts
264 → 264
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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -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)))))
(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 (* -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)))))
(* -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))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(+ (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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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
-1
-1
-1
-1
-1
-1
-1
-1
-1
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) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
-1
(- x 1)
(- (* x (+ 1 (* -2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1)
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1))
(* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))
(* -3 (pow x 2))
(* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))
(* 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))
-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
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
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))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1/2 x))) 1)))
1/2
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(- (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))
(- (+ 1/2 (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 2 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* 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 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.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 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(* 3/40 (pow x 4))
(*.f64 (*.f64 x 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 3/40 (pow x 4))
(*.f64 (*.f64 x 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* 3/40 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
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(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -2 x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))))
(- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2))))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 x x) #s(literal -3 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 x 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))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(- (* 3/40 (pow x 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(- (* 3/40 (pow x 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 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 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 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 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x 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))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(- (+ 1/2 (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))
(+.f64 #s(literal 1/2 binary64) (+.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 -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (+ 2 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 2) (- (+ 2 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* 3/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/2 binary64)))
(* (pow x 2) (+ 3/2 x))
(*.f64 (*.f64 x x) (+.f64 x #s(literal 3/2 binary64)))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3/4 binary64))))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3/4 binary64) (*.f64 x #s(literal -3/2 binary64)))))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (-.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64)))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 3/2) (+ (* -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 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 7/96 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 7/96 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))))

eval123.0ms (1.1%)

Compiler

Compiled 29037 to 2830 computations (90.3% saved)

prune91.0ms (0.8%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New9484952
Fresh123
Picked235
Done066
Total95115966
Accuracy
100.0%
Counts
966 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
12.6%
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
20.0%
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
42.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
43.5%
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
42.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
44.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
42.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
30.9%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
30.3%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
34.6%
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
28.2%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
32.7%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
27.3%
(log.f64 (+.f64 x x))
44.8%
x
Compiler

Compiled 342 to 205 computations (40.1% saved)

simplify185.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
cost-diff384
(*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
cost-diff384
(log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
cost-diff640
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
cost-diff0
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff256
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))
cost-diff256
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
Rules
2440×fma-lowering-fma.f32
2440×fma-lowering-fma.f64
2012×fnmadd-define
1978×fma-define
1568×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042329
1113292
2305282
3797269
41937267
53759267
64871267
76767267
08047267
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)))
x
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))
(* (* x x) -1/6)
(* x x)
-1/6
(+ (* x (* x (* (* x x) 3/40))) 1)
(* x (* x (* (* x x) 3/40)))
(* x (* (* x x) 3/40))
(* (* x x) 3/40)
3/40
1
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))))
x
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))
1
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))
(* x x)
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))
-1/6
(* x (* x (+ 3/40 (* (* x x) -5/112))))
(* x (+ 3/40 (* (* x x) -5/112)))
(+ 3/40 (* (* x x) -5/112))
3/40
(* (* x x) -5/112)
-5/112
(log (+ (* x 2) (/ 1/2 x)))
(+ (* x 2) (/ 1/2 x))
(* x 2)
x
2
(/ 1/2 x)
1/2
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x))))))
(/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))
-1
(- x (sqrt (+ (* 1 1) (* x x))))
x
(sqrt (+ (* 1 1) (* x x)))
1
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))))
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))
(* (+ (* x x) (+ 1 (* x x))) -1)
(+ (* x x) (+ 1 (* x x)))
(* x x)
x
(+ 1 (* x x))
1
-1
(/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(log (+ (* x x) (+ 1 (* x x))))
Outputs
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
x
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* (* x x) -1/6)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(+ (* x (* x (* (* x x) 3/40))) 1)
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))
(* x (* x (* (* x x) 3/40)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x (* (* x x) 3/40))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (* x x) 3/40)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
3/40
#s(literal 3/40 binary64)
1
#s(literal 1 binary64)
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
x
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(* x x)
(*.f64 x x)
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* x (* x (+ 3/40 (* (* x x) -5/112))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(* x (+ 3/40 (* (* x x) -5/112)))
(*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(+ 3/40 (* (* x x) -5/112))
(+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))
3/40
#s(literal 3/40 binary64)
(* (* x x) -5/112)
(*.f64 (*.f64 x x) #s(literal -5/112 binary64))
-5/112
#s(literal -5/112 binary64)
(log (+ (* x 2) (/ 1/2 x)))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ (* x 2) (/ 1/2 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
-1
#s(literal -1 binary64)
(- x (sqrt (+ (* 1 1) (* x x))))
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log1p.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(* (+ (* x x) (+ 1 (* x x))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+ (* x x) (+ 1 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))
(/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(- x (sqrt (+ (* 1 1) (* x x))))
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
(log (+ (* x x) (+ 1 (* x x))))
(log1p.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))

localize1.0s (8.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
accuracy100.0%
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
accuracy100.0%
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
accuracy100.0%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
Results
799.0ms127×5exit
106.0ms128×0invalid
1.0ms0valid
Compiler

Compiled 391 to 42 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 617.0ms
ival-log: 239.0ms (38.8% of total)
ival-mult: 120.0ms (19.5% of total)
backward-pass: 83.0ms (13.5% of total)
ival-add: 53.0ms (8.6% of total)
compiled-spec: 41.0ms (6.6% of total)
ival-div: 33.0ms (5.4% of total)
...c/correct-round.rkt:119:19: 26.0ms (4.2% of total)
ival-sub: 17.0ms (2.8% of total)
ival-sqrt: 5.0ms (0.8% of total)
const: 1.0ms (0.2% of total)

series20.0ms (0.2%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)))>
#<alt (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))>
#<alt (* (* x x) -1/6)>
#<alt (* x x)>
#<alt (/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))))>
#<alt (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))>
#<alt (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))>
#<alt (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))>
#<alt (log (+ (* x 2) (/ 1/2 x)))>
#<alt (+ (* x 2) (/ 1/2 x))>
#<alt (* x 2)>
#<alt (/ 1/2 x)>
#<alt (log (/ -1 (- x (sqrt (+ (* 1 1) (* x x))))))>
#<alt (/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))>
#<alt (- x (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
#<alt (- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))>
#<alt (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))>
#<alt (* (+ (* x x) (+ 1 (* x x))) -1)>
#<alt (* (* x x) 3/40)>
#<alt (* x (* x (* (* x x) 3/40)))>
#<alt (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))>
#<alt (* x (* x (+ 3/40 (* (* x x) -5/112))))>
#<alt (log (+ (* x x) (+ 1 (* x x))))>
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>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 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 (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 367/15120 (pow x 2)) 17/360)))))>
#<alt (/ -112/5 (pow x 6))>
#<alt (* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt (/ -112/5 (pow x 6))>
#<alt (* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))>
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<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 (* 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 (/ 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 (- x 1)>
#<alt (- (* x (+ 1 (* -1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))>
#<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 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 4) (* -3 (log (/ 1 x)))) (+ (log 2) (* -2 (log (/ 1 x)))))>
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (* -2 (log (/ 1 x)))))>
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))>
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))>
#<alt (- (* -1 (log (/ -1 x))) (+ (log 2) (* -2 (log (/ -1 x)))))>
#<alt (- (* -1 (log (/ -1 x))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 2 x)))>
#<alt (* x (+ 1 (* x (+ 2 (* -1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 2 (* x (- (* -2 x) 1/6))))))>
#<alt (+ (log 4) (* -3 (log (/ 1 x))))>
#<alt (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 7/32 (pow x 4)))>
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 3/4 (/ 1 (pow x 2))) (* 3/32 (/ 1 (pow x 6)))))) (/ 7/32 (pow x 4)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (/ 1/32 (pow x 4)))>
#<alt (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 1/32 (* 1/96 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 5/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 5/2 (* 2 x))))))>
#<alt (* 4 (pow x 3))>
#<alt (* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))) (* 1/64 (/ 1 (pow x 8)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/4 (/ 1 (pow x 2)))) (/ 1/64 (pow x 6)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (/ 1/64 (pow x 6)))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (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 (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt (* 3/40 (pow x 4))>
#<alt -1/6>
#<alt (- (* 3/40 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* -2 (pow x 2))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2))))>
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2))))>
#<alt (+ (log 2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))>
#<alt (+ (log 2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
1.0ms
x
@0
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
1.0ms
x
@-inf
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
0.0ms
x
@0
(log (+ (* x 2) (/ 1/2 x)))
0.0ms
x
@-inf
(log (+ (* x 2) (/ 1/2 x)))

rewrite342.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
3288×fma-lowering-fma.f32
3288×fma-lowering-fma.f64
2508×*-lowering-*.f32
2508×*-lowering-*.f64
2022×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042245
1272214
22474211
08526211
Stop Event
iter limit
node limit
Counts
25 → 527
Calls
Call 1
Inputs
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)))
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))
(* (* x x) -1/6)
(* x x)
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))))
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))
(log (+ (* x 2) (/ 1/2 x)))
(+ (* x 2) (/ 1/2 x))
(* x 2)
(/ 1/2 x)
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x))))))
(/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))))
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))
(* (+ (* x x) (+ 1 (* x x))) -1)
(* (* x x) 3/40)
(* x (* x (* (* x x) 3/40)))
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))
(* x (* x (+ 3/40 (* (* x x) -5/112))))
(log (+ (* x x) (+ 1 (* x x))))
Outputs
(+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
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(fma.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))
(fma.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) x #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64)))) (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))))) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/12544 binary64)))) (-.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(*.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) x)
(log.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))) (log.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))
(log1p.f64 (+.f64 (*.f64 x x) (*.f64 x x)))

simplify341.0ms (2.9%)

Algorithm
egg-herbie
Rules
6054×+-lowering-+.f64
6054×+-lowering-+.f32
3130×*-lowering-*.f32
3130×*-lowering-*.f64
1348×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04063016
112442611
242272542
083802542
Stop Event
iter limit
node limit
Counts
300 → 300
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
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (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)
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))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 367/15120 (pow x 2)) 17/360)))))
(/ -112/5 (pow x 6))
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))
(/ -112/5 (pow x 6))
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))
1
(+ 1 (* -1/6 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(+ (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)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 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
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
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)))))
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 4) (* -3 (log (/ 1 x)))) (+ (log 2) (* -2 (log (/ 1 x)))))
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (* -2 (log (/ 1 x)))))
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))
(- (* -1 (log (/ -1 x))) (+ (log 2) (* -2 (log (/ -1 x)))))
(- (* -1 (log (/ -1 x))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 2 x)))
(* x (+ 1 (* x (+ 2 (* -1/6 x)))))
(* x (+ 1 (* x (+ 2 (* x (- (* -2 x) 1/6))))))
(+ (log 4) (* -3 (log (/ 1 x))))
(+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 7/32 (pow x 4)))
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 3/4 (/ 1 (pow x 2))) (* 3/32 (/ 1 (pow x 6)))))) (/ 7/32 (pow x 4)))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (/ 1/32 (pow x 4)))
(+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 1/32 (* 1/96 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 5/2 x))))
(+ 1 (* x (+ 1 (* x (+ 5/2 (* 2 x))))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))) (* 1/64 (/ 1 (pow x 8)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/4 (/ 1 (pow x 2)))) (/ 1/64 (pow x 6)))))
(* -1 (* x (- (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (/ 1/64 (pow x 6)))))
-1
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (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))
(* 3/40 (pow x 2))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
(* 3/40 (pow x 4))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* 3/40 (pow x 2))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2))))
(+ (log 2) (* -2 (log (/ 1 x))))
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))
(+ (log 2) (* -2 (log (/ -1 x))))
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
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(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* 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 (*.f64 x 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 (*.f64 x 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 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal -3/40 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal -3/40 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(* 3/40 (pow x 4))
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(* (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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
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(* 3/40 (pow x 4))
(*.f64 #s(literal 3/40 binary64) (*.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 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
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(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
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(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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(pow x 2)
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(*.f64 x x)
(pow x 2)
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(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)
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -5/112 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* -5/112 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* -5/112 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* -2 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))))))))
(+ (log 2) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(+ (log 2) (* -2 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))
(+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))
(+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))

eval140.0ms (1.2%)

Compiler

Compiled 30330 to 3019 computations (90% saved)

prune107.0ms (0.9%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New103741041
Fresh011
Picked325
Done369
Total1043131056
Accuracy
100.0%
Counts
1056 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
45.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
44.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
12.6%
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
20.0%
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
42.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
30.9%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
30.3%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
34.6%
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
28.2%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
32.7%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
27.3%
(log.f64 (+.f64 x x))
44.8%
x
Compiler

Compiled 566 to 246 computations (56.5% saved)

regimes23.0ms (0.2%)

Counts
24 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
Outputs
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
7.0ms
x
6.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
86.0%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
86.0%3(+.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%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 x (hypot.f64 #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))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(log.f64 (+.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
(log.f64 (+.f64 x x))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
70.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
45.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.6b remaining (-4.5%)

Threshold costs -1.6b (-4.5%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
44.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.318783277465475e-16
0.44967831725111496
10.0ms
-0.21266906292795887
-0.013697895295300721
Results
17.0ms240×0valid
3.0ms16×1valid
Compiler

Compiled 522 to 342 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (26.8% of total)
ival-log: 3.0ms (26.8% of total)
ival-mult: 2.0ms (17.8% of total)
ival-sqrt: 2.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.318783277465475e-16
0.44967831725111496
15.0ms
-30495.79783531613
-0.21266906292795887
Results
19.0ms288×0valid
3.0ms16×1valid
Compiler

Compiled 677 to 455 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 4.0ms (31.6% of total)
ival-add: 3.0ms (23.7% of total)
ival-mult: 3.0ms (23.7% of total)
ival-sqrt: 2.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.44967831725111496
8728.883441520971
15.0ms
-30495.79783531613
-0.21266906292795887
Results
19.0ms272×0valid
Compiler

Compiled 593 to 410 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (28.3% of total)
ival-log: 3.0ms (28.3% of total)
ival-mult: 2.0ms (18.9% of total)
ival-sqrt: 2.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.44967831725111496
8728.883441520971
38.0ms
-30495.79783531613
-0.21266906292795887
Results
41.0ms272×0valid
Compiler

Compiled 539 to 374 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 25.0ms (74.9% of total)
ival-add: 3.0ms (9% of total)
ival-log: 3.0ms (9% of total)
ival-sqrt: 2.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.44967831725111496
8728.883441520971
23.0ms
-30495.79783531613
-0.21266906292795887
Results
18.0ms272×0valid
Compiler

Compiled 507 to 342 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (28.5% of total)
ival-log: 3.0ms (28.5% of total)
ival-mult: 2.0ms (19% of total)
ival-sqrt: 2.0ms (19% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.44967831725111496
8728.883441520971
Results
12.0ms128×0valid
Compiler

Compiled 150 to 106 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sqrt: 5.0ms (58.4% of total)
ival-add: 1.0ms (11.7% of total)
ival-log: 1.0ms (11.7% of total)
ival-mult: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify48.0ms (0.4%)

Algorithm
egg-herbie
Rules
28×*-commutative_binary64
28×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083242
1113242
2116242
3118242
4119242
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -3458764513820541/144115188075855872 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 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 3242591731706757/144115188075855872 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 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 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (log.f64 (+.f64 x x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
x
Outputs
(if (<=.f64 x #s(literal -3458764513820541/144115188075855872 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 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 3242591731706757/144115188075855872 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 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 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (log.f64 (+.f64 x x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
x

soundness1.7s (15%)

Rules
6054×+-lowering-+.f64
6054×+-lowering-+.f32
3480×+-lowering-+.f64
3480×+-lowering-+.f32
3250×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
14114
232614
3360914
0848514
0122434
1355365
21103351
33812333
08439333
025118
1163107
21459105
08163105
04063016
112442611
242272542
083802542
037204
1269158
22730152
08332152
078
1136
2146
3156
0156
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 710 to 392 computations (44.8% saved)

preprocess69.0ms (0.6%)

Compiler

Compiled 556 to 208 computations (62.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...