Hyperbolic arcsine

Time bar (total: 9.4s)

analyze91.0ms (1%)

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

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 13.0ms (28% of total)
ival-log: 12.0ms (25.8% of total)
ival-add: 11.0ms (23.7% of total)
ival-sqrt: 8.0ms (17.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

sample2.5s (26.1%)

Results
1.3s2734×2valid
680.0ms3336×1valid
158.0ms2186×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 1.1s (60.7% of total)
ival-add: 201.0ms (11.6% of total)
ival-mult: 180.0ms (10.4% of total)
ival-sqrt: 159.0ms (9.2% of total)
backward-pass: 123.0ms (7.1% of total)
const: 19.0ms (1.1% of total)
Bogosity

preprocess26.0ms (0.3%)

Algorithm
2×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
13219
26219
311019
424819
545119
665719
779519
882619
078
1126
2136
3146
0146
Stop Event
1×iter limit
1×saturated
1×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)))

explain240.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
740-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
580-1(-5.808643328327411)(+.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
81.0ms168×2valid
53.0ms196×1valid
12.0ms148×0valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-log: 56.0ms (56.6% of total)
ival-add: 12.0ms (12.1% of total)
backward-pass: 11.0ms (11.1% of total)
ival-mult: 10.0ms (10.1% of total)
ival-sqrt: 9.0ms (9.1% of total)
const: 1.0ms (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
▶33.2%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶18.1%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 7 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)))
✓cost-diff0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓cost-diff192
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff192
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff192
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×+-commutative
2×hypot-1-def
2×sqrt-lowering-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
11839
01839
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(+ x (sqrt (+ (* x x) 1)))
x
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
(+ x (sqrt (+ (* 1 1) (* x x))))
x
(sqrt (+ (* 1 1) (* x x)))
1
Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+ x (sqrt (+ (* x x) 1)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(sqrt (+ (* x x) 1))
(hypot.f64 #s(literal 1 binary64) x)
(+ (* x x) 1)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(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)

localize285.0ms (3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) x)
✓accuracy99.9%
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓accuracy99.9%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓accuracy85.8%
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
228.0ms182×5exit
32.0ms74×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-log: 71.0ms (41.1% of total)
backward-pass: 27.0ms (15.6% of total)
ival-add: 26.0ms (15% of total)
compiled-spec: 21.0ms (12.2% of total)
ival-mult: 14.0ms (8.1% of total)
ival-sqrt: 12.0ms (6.9% of total)
const: 1.0ms (0.6% of total)

series5.0ms (0.1%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (log (+ x (sqrt (+ (* x x) 1))))>
#<alt (+ x (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (log (+ x (sqrt (+ (* 1 1) (* x x)))))>
#<alt (+ x (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
#<alt (* 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)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

24 calls:

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

rewrite321.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
2240×*-lowering-*.f32
2240×*-lowering-*.f64
1890×/-lowering-/.f32
1890×/-lowering-/.f64
1798×sum5-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
16735
243135
3520835
0810535
Stop Event
1×iter limit
1×node limit
Counts
8 → 348
Calls
Call 1
Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(+ x (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
(+ x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(* 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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (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 (*.f64 x x) #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 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #s(literal 1 binary64)))) (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 (neg.f64 (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 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x (*.f64 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 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.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 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x x) #s(literal 1 binary64)))) (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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (-.f64 (+.f64 (*.f64 x (*.f64 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 x (*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 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 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 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 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (*.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)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #s(literal 1 binary64))) (/.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 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x x) #s(literal 1 binary64))))
(*.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 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x (*.f64 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 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.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 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (+.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 (*.f64 x (*.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x 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 (*.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 (*.f64 x 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)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify296.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3468×+-lowering-+.f64
3468×+-lowering-+.f32
2510×*-lowering-*.f32
2510×*-lowering-*.f64
1576×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125956
1367871
21126837
33910791
08541791
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 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 x (*.f64 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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 x) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.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 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.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 -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) 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 x (*.f64 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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -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))))))
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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* 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 x (*.f64 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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 x) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.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 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.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 -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) 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 x (*.f64 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 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -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))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval97.0ms (1%)

Compiler

Compiled 11910 to 1230 computations (89.7% saved)

prune85.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New43113444
Fresh000
Picked112
Done000
Total43214446
Accuracy
100.0%
Counts
446 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(*.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)))))))))
52.3%
(*.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)))))))
▶50.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
7.0%
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
7.4%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
23.2%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶22.6%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
22.6%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓33.2%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶1.9%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
27.5%
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
▶26.6%
(log.f64 (+.f64 x x))
▶52.6%
x
Compiler

Compiled 365 to 219 computations (40% saved)

simplify180.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓cost-diff256
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓cost-diff256
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) 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 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
Rules
2068×fnmsub-define
1636×+-lowering-+.f64
1636×+-lowering-+.f32
1368×*-lowering-*.f32
1368×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024155
157137
2109130
3213124
4267124
5694124
62203124
75049124
08217124
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (* x x))))
x
(+ 1 (* -1/6 (* x x)))
1
(* -1/6 (* x x))
-1/6
(* x x)
(log (+ x x))
(+ x x)
x
(log (+ x (- (/ -1/2 x) x)))
(+ x (- (/ -1/2 x) x))
x
(- (/ -1/2 x) x)
(/ -1/2 x)
-1/2
(log (/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x))
(/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x)
(+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x))))))
-1/2
(+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))
(/ 1/8 (* x x))
1/8
(* x x)
x
(/ -1/16 (* x (* x (* x x))))
-1/16
(* x (* x (* x x)))
(* x (* x x))
Outputs
x
(* x (+ 1 (* -1/6 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
x
(+ 1 (* -1/6 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -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 (- (/ -1/2 x) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+ x (- (/ -1/2 x) x))
(/.f64 #s(literal -1/2 binary64) x)
x
(- (/ -1/2 x) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
(/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) 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 x (*.f64 x (*.f64 x x)))))) x)
(+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x))))))
(+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1/2
#s(literal -1/2 binary64)
(+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 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
(/ -1/16 (* x (* x (* x x))))
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
-1/16
#s(literal -1/16 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))

localize126.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓accuracy100.0%
(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓accuracy100.0%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(log.f64 (+.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
Results
72.0ms256×0invalid
Compiler

Compiled 167 to 25 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 9.0ms (23% of total)
ival-div: 8.0ms (20.5% of total)
ival-log: 7.0ms (17.9% of total)
ival-add: 6.0ms (15.3% of total)
...c/correct-round.rkt:119:19: 6.0ms (15.3% of total)
ival-sub: 1.0ms (2.6% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series168.0ms (1.8%)

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

48 calls:

TimeVariablePointExpression
50.0ms
x
@0
(log (+ x (- (/ -1/2 x) x)))
33.0ms
x
@-inf
(log (+ x (- (/ -1/2 x) x)))
29.0ms
x
@0
(log (+ x x))
20.0ms
x
@-inf
(log (+ x x))
8.0ms
x
@inf
(log (+ x x))

rewrite444.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
3390×/-lowering-/.f32
3390×/-lowering-/.f64
2864×*-lowering-*.f32
2864×*-lowering-*.f64
1806×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024125
1157104
21786100
08892100
Stop Event
1×iter limit
1×node limit
Counts
16 → 458
Calls
Call 1
Inputs
(* x (+ 1 (* -1/6 (* x x))))
(+ 1 (* -1/6 (* x x)))
(* -1/6 (* x x))
(* x x)
(log (+ x x))
(+ x x)
(log (+ x (- (/ -1/2 x) x)))
(+ x (- (/ -1/2 x) x))
(- (/ -1/2 x) x)
(/ -1/2 x)
(log (/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x))
(/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x)
(+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x))))))
(+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))
(* x (* x x))
(* x (* x (* x x)))
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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 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 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) 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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))) (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))) (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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1/16 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/16 binary64) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/16 binary64) x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/16 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) x)) (neg.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal -1/16 binary64)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x #s(literal 1/16 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (/.f64 #s(literal -1/16 binary64) x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 x (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) x)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) x) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/4096 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))

simplify296.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
2334×+-lowering-+.f64
2334×+-lowering-+.f32
1998×*-lowering-*.f32
1998×*-lowering-*.f64
1632×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01311209
13471134
210091113
331731104
084971104
Stop Event
1×iter limit
1×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))
(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 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)
(+ (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)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -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))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -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)))) x))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.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 #s(literal -1/6 binary64) (*.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(-.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))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 x)
(-.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))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 40/3 binary64))))))))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 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)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 5/192 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 5/192 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 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 #s(literal -1/16 binary64) (*.f64 x x))) (*.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 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 x (*.f64 x (*.f64 x x))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval94.0ms (1%)

Compiler

Compiled 17665 to 2101 computations (88.1% saved)

prune80.0ms (0.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New6904694
Fresh178
Picked235
Done011
Total69315708
Accuracy
100.0%
Counts
708 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
50.8%
(*.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)))))))))
▶52.3%
(*.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)))))))
7.0%
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
7.4%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
▶23.2%
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
▶22.7%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
▶22.6%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓33.2%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓1.9%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
27.5%
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓26.6%
(log.f64 (+.f64 x x))
22.6%
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓52.6%
x
Compiler

Compiled 387 to 233 computations (39.8% saved)

simplify168.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
✓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 #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 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
Rules
2156×sum5-define
2050×fma-define
1752×fma-lowering-fma.f32
1752×fma-lowering-fma.f64
1646×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030212
171205
2150199
3374199
4681199
5872199
6998199
71167199
81564199
94333199
107440199
08310199
Stop Event
1×iter limit
1×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 (+ -1/6 (* (* x x) 3/40)))
(+ -1/6 (* (* x x) 3/40))
-1/6
(* (* x x) 3/40)
(* x x)
3/40
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
x
(* -1/6 (* x x))
-1/6
(* x x)
(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
(log (/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x))
(/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x)
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
-1/2
(/ (+ 1/8 (/ -1/16 (* x x))) (* x x))
(+ 1/8 (/ -1/16 (* x x)))
1/8
(/ -1/16 (* x x))
-1/16
(* x 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 (+ -1/6 (* (* x x) 3/40)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(+ -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))
(* x x)
(*.f64 x x)
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 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
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 (/ -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
(log (/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
(/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ (+ 1/8 (/ -1/16 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
1/8
#s(literal 1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
x

localize175.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
✓accuracy99.6%
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.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))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓accuracy99.6%
(/.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 x x)
✓accuracy100.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
✓accuracy100.0%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
✓accuracy100.0%
(*.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)))))))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
Results
81.0ms198×0invalid
19.0ms58×0valid
Compiler

Compiled 215 to 31 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
...c/correct-round.rkt:119:19: 29.0ms (42% of total)
ival-mult: 13.0ms (18.8% of total)
ival-div: 11.0ms (15.9% of total)
ival-log: 8.0ms (11.6% of total)
ival-add: 6.0ms (8.7% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
20 → 240
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 (+ -1/6 (* (* x x) 3/40)))>
#<alt (+ (* x (* -1/6 (* x x))) x)>
#<alt (* x (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<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 (log (/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x))>
#<alt (/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x)>
#<alt (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))>
#<alt (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))>
#<alt (* (* x x) 3/40)>
#<alt (/ -1/16 (* 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 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt 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 (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 (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<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))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<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)))) x))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
8.0ms
x
@0
(log (/ -1/2 x))
1.0ms
x
@0
(log (/ (- -1/2 (/ -1/8 (* x x))) x))
0.0ms
x
@inf
(log (/ (- -1/2 (/ -1/8 (* x x))) x))
0.0ms
x
@inf
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40))))))
0.0ms
x
@inf
(/ (- -1/2 (/ -1/8 (* x x))) x)

rewrite404.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3916×/-lowering-/.f32
3916×/-lowering-/.f64
3482×*-lowering-*.f32
3482×*-lowering-*.f64
1702×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030174
1191157
21690152
08360152
Stop Event
1×iter limit
1×node limit
Counts
20 → 564
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 (+ -1/6 (* (* x x) 3/40)))
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
(* -1/6 (* x x))
(* 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))
(log (/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x))
(/ (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))) x)
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
(/ (+ 1/8 (/ -1/16 (* x x))) (* x x))
(* (* x x) 3/40)
(/ -1/16 (* x x))
Outputs
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 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 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x)
(fma.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
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(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x))
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify284.0ms (3%)

Algorithm
1×egg-herbie
Rules
2878×*-lowering-*.f32
2878×*-lowering-*.f64
1926×+-lowering-+.f64
1926×+-lowering-+.f32
1832×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01921904
15021826
215001796
346891788
081331788
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
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))
(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))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -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))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -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)))) x))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (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))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
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 (*.f64 x 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 (*.f64 x 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 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
(* 3/40 (pow x 4))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 3/40 (pow x 4))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 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 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* 3/40 (pow x 4))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))))
(* 3/40 (pow x 4))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* 3/40 (pow x 3))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* 3/40 (pow x 3))
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))
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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (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))
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(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.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))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))

eval106.0ms (1.1%)

Compiler

Compiled 19460 to 2410 computations (87.6% saved)

prune97.0ms (1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New8813884
Fresh156
Picked055
Done044
Total88217899
Accuracy
100.0%
Counts
899 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
✓50.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
▶50.8%
(*.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)))))))))
✓52.3%
(*.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)))))))
▶4.9%
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
▶7.0%
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
7.4%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓23.2%
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
✓22.7%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
✓22.6%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓33.2%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓1.9%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
▶27.5%
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓26.6%
(log.f64 (+.f64 x x))
▶22.7%
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
✓52.6%
x
Compiler

Compiled 536 to 245 computations (54.3% saved)

simplify202.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff768
(-.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))))
✓cost-diff1792
(/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓cost-diff1792
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))
✓cost-diff128
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
✓cost-diff0
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(*.f64 x 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 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)))))))))
Rules
2676×*-lowering-*.f32
2676×*-lowering-*.f64
2220×fma-lowering-fma.f32
2220×fma-lowering-fma.f64
1606×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043368
1140339
2473329
31637288
45407287
08051287
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 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))))
(* x (+ 3/40 (* (* x x) -5/112)))
(+ 3/40 (* (* x x) -5/112))
3/40
(* (* x x) -5/112)
-5/112
(* x (* 3/40 (* x (* x (* x x)))))
x
(* 3/40 (* x (* x (* x x))))
3/40
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(log (+ x (- x (/ -1/2 x))))
(+ x (- x (/ -1/2 x)))
x
(- x (/ -1/2 x))
(/ -1/2 x)
-1/2
(log (* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))))
(* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))))
(/ 1 x)
1
x
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
-1/2
(/ (+ 1/8 (/ -1/16 (* x x))) (* x x))
(+ 1/8 (/ -1/16 (* x x)))
1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))
(/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1))))
(- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1)))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (+ (* x x) 1) (+ (* x x) 1))
(+ (* x x) 1)
1
(* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(+ (* x x) (+ (* x x) 1))
Outputs
(* 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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)
(* x (* 3/40 (* x (* x (* x x)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))))
x
(* 3/40 (* x (* x (* x x))))
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))))
3/40
#s(literal 3/40 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(log (+ x (- x (/ -1/2 x))))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ x (- x (/ -1/2 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
x
(- x (/ -1/2 x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
(* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ (+ 1/8 (/ -1/16 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
1/8
#s(literal 1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1))))
(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (+ (* x x) 1) (+ (* x x) 1))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))
(*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 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)
(+ (* x x) (+ (* x x) 1))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))

localize226.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
✓accuracy100.0%
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓accuracy100.0%
(*.f64 x (*.f64 x x))
✓accuracy100.0%
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy100.0%
(*.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)))))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
✓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)
Results
145.0ms256×0invalid
Compiler

Compiled 411 to 42 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-log: 36.0ms (33.2% of total)
ival-mult: 27.0ms (24.9% of total)
ival-add: 11.0ms (10.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (10.1% of total)
ival-div: 9.0ms (8.3% of total)
compiled-spec: 7.0ms (6.5% of total)
ival-sub: 4.0ms (3.7% of total)
ival-sqrt: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<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 (* x (* 3/40 (* x (* x (* x x)))))>
#<alt (* 3/40 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (log (+ x (- x (/ -1/2 x))))>
#<alt (+ x (- x (/ -1/2 x)))>
#<alt (- x (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (log (* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))))>
#<alt (* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))))>
#<alt (/ 1 x)>
#<alt (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))>
#<alt (log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))>
#<alt (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1))))>
#<alt (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1)))>
#<alt (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))>
#<alt (* x (* x (+ 3/40 (* (* x x) -5/112))))>
#<alt (* x (+ 3/40 (* (* x x) -5/112)))>
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 (* -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 (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<alt (* 3/40 (pow x 5))>
#<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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<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))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<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)))) x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (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 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 (- (* -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 -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -5/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 2 x) 5/2)))) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/64 (pow x 6)) (+ 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/64 (pow x 6)) (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8)))))))>
#<alt (* 4 (pow x 3))>
#<alt (* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 4)))>
#<alt (* -1 (* (pow x 3) (- (* 1/64 (/ 1 (pow x 8))) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (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))>
#<alt (* 3/40 x)>
#<alt (* x (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* x (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* x (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* -5/112 (pow x 3))>
#<alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))
0.0ms
x
@0
(* x (* 3/40 (* x (* x (* x x)))))
0.0ms
x
@inf
(log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))
0.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))
0.0ms
x
@-inf
(log (+ x (- x (/ -1/2 x))))

rewrite323.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3566×fma-lowering-fma.f32
3566×fma-lowering-fma.f64
1994×*-lowering-*.f32
1994×*-lowering-*.f64
1956×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043250
1327182
23429180
08146180
Stop Event
1×iter limit
1×node limit
Counts
22 → 502
Calls
Call 1
Inputs
(* 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)
(* x (* 3/40 (* x (* x (* x x)))))
(* 3/40 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(log (+ x (- x (/ -1/2 x))))
(+ x (- x (/ -1/2 x)))
(- x (/ -1/2 x))
(/ -1/2 x)
(log (* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))))
(* (/ 1 x) (+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x))))
(/ 1 x)
(+ -1/2 (/ (+ 1/8 (/ -1/16 (* x x))) (* x x)))
(log (/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))))
(/ (- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1))) (* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1))))
(- (* x (* x (* x x))) (* (+ (* x x) 1) (+ (* x x) 1)))
(* (- x (sqrt (+ (* 1 1) (* x x)))) (+ (* x x) (+ (* x x) 1)))
(* x (* x (+ 3/40 (* (* x x) -5/112))))
(* x (+ 3/40 (* (* x x) -5/112)))
Outputs
(+.f64 x (*.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 x (*.f64 x x))))
(+.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 x (*.f64 x x))) x)
(fma.f64 x #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 x (*.f64 x x))))
(fma.f64 x (*.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)))))) x)
(fma.f64 #s(literal 1 binary64) x (*.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 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 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)))))) x)
(fma.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 x (*.f64 x x)) x)
(fma.f64 (*.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)))))) x x)
(fma.f64 (*.f64 x (*.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))))) x)
(fma.f64 (*.f64 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 x) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (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 x (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.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 x (*.f64 x x))) (*.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 x (*.f64 x x)))) (*.f64 x (*.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 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x (*.f64 x x))) (*.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 x (*.f64 x x))))) (-.f64 x (*.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 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.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 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 #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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.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 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))))))))) 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 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(*.f64 (+.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))))))) 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 (*.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)))))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.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 (*.f64 (*.f64 x x) (*.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 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 #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)))))))))
(fma.f64 x (*.f64 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)))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(fma.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)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(fma.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))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(fma.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 x x) #s(literal 1 binary64))
(fma.f64 (*.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)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 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)))))) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (*.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 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.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 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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 (*.f64 (*.f64 x x) (*.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 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 #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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.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 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 #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 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.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 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))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64))))))
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(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 (*.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) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(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 #s(literal 3/40 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.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 #s(literal 5/112 binary64) (*.f64 x x))))
(*.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 x #s(literal 3/40 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 x #s(literal 3/40 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -5/112 binary64)) (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 #s(literal 3/40 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) x (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5/112 binary64) (*.f64 x #s(literal 3/40 binary64)))
(fma.f64 (*.f64 x #s(literal -5/112 binary64)) (*.f64 x x) (*.f64 x #s(literal 3/40 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 3/40 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) (*.f64 x #s(literal 3/40 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 x #s(literal 3/40 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (*.f64 x #s(literal 3/40 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.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 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 #s(literal 5/112 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -125/1404928 binary64))) x) (+.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 x (*.f64 x (*.f64 x x))) #s(literal 25/12544 binary64))) x) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x))))
(*.f64 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))) x)

simplify281.0ms (3%)

Algorithm
1×egg-herbie
Rules
4558×+-lowering-+.f64
4558×+-lowering-+.f32
3092×*-lowering-*.f32
3092×*-lowering-*.f64
1874×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02892243
18442137
227632082
082072082
Stop Event
1×iter limit
1×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) (- (* (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)
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 3/40 (pow x 5))
(* 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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 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)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -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))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -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)))) x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (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 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
(- (* -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)))))
-1
(- x 1)
(- (* x (+ 1 (* -5/2 x))) 1)
(- (* x (+ 1 (* x (- (* 2 x) 5/2)))) 1)
(* -1 x)
(* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2))))))
(* x (- (/ 1/64 (pow x 6)) (+ 1 (* 1/4 (/ 1 (pow x 2))))))
(* x (- (/ 1/64 (pow x 6)) (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8)))))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 4)))
(* -1 (* (pow x 3) (- (* 1/64 (/ 1 (pow x 8))) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (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))
(* 3/40 x)
(* x (+ 3/40 (* -5/112 (pow x 2))))
(* x (+ 3/40 (* -5/112 (pow x 2))))
(* x (+ 3/40 (* -5/112 (pow x 2))))
(* -5/112 (pow x 3))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 3) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 3))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
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 (*.f64 x 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))))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
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eval119.0ms (1.3%)

Compiler

Compiled 31348 to 2427 computations (92.3% saved)

prune106.0ms (1.1%)

Pruning

20 alts after pruning (7 fresh and 13 done)

PrunedKeptTotal
New9584962
Fresh033
Picked145
Done099
Total95920979
Accuracy
100.0%
Counts
979 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
✓50.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
4.9%
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
✓50.8%
(*.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)))))))))
✓52.3%
(*.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)))))))
✓7.0%
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
1.9%
(log.f64 (/.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)))) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
1.9%
(log.f64 (/.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)))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
7.4%
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓23.2%
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
✓22.7%
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
✓22.6%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓33.2%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓1.9%
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓27.5%
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
✓26.6%
(log.f64 (+.f64 x x))
✓22.7%
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
26.6%
(log.f64 (*.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))))))
✓52.6%
x
Compiler

Compiled 870 to 334 computations (61.6% saved)

regimes25.0ms (0.3%)

Counts
26 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
(log.f64 (*.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))))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(log.f64 (/.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)))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(log.f64 (/.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)))) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
(log.f64 (+.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 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (/.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)))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
Outputs
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 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 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
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms
x
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.7%3x
86.5%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
86.5%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))
(log.f64 (*.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))))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(log.f64 (/.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)))) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(log.f64 (/.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)))) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))
Outputs
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.1%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 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(log.f64 (+.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
(log.f64 (+.f64 x x))
Outputs
(*.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)))))))
(log.f64 (+.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
77.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Accuracy

Total -32.7b remaining (-107.9%)

Threshold costs -32.7b (-107.9%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 3/40 binary64)) x) (*.f64 x (*.f64 x x)))
(*.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 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 3/40 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))))))
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
52.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
16.0ms256×0valid
Compiler

Compiled 606 to 410 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (28.9% of total)
ival-log: 3.0ms (28.9% of total)
ival-mult: 2.0ms (19.2% of total)
ival-sqrt: 2.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
16.0ms256×0valid
Compiler

Compiled 670 to 458 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (29.5% of total)
ival-log: 3.0ms (29.5% of total)
ival-mult: 2.0ms (19.7% of total)
ival-sqrt: 2.0ms (19.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
16.0ms256×0valid
Compiler

Compiled 654 to 442 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (28.8% of total)
ival-log: 3.0ms (28.8% of total)
ival-mult: 2.0ms (19.2% of total)
ival-sqrt: 2.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
16.0ms256×0valid
Compiler

Compiled 606 to 418 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (29.1% of total)
ival-log: 3.0ms (29.1% of total)
ival-mult: 2.0ms (19.4% of total)
ival-sqrt: 2.0ms (19.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0005767309791778933
1.478258031662542
16.0ms
-5.808643328327411
-0.021322999138629412
Results
19.0ms256×0valid
Compiler

Compiled 558 to 378 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 6.0ms (45.1% of total)
ival-add: 3.0ms (22.5% of total)
ival-mult: 2.0ms (15% of total)
ival-sqrt: 2.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
18.0ms256×0valid
Compiler

Compiled 510 to 346 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (29.3% of total)
ival-log: 3.0ms (29.3% of total)
ival-mult: 2.0ms (19.6% of total)
ival-sqrt: 2.0ms (19.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0005767309791778933
1.478258031662542
13.0ms
-5.808643328327411
-0.021322999138629412
Results
19.0ms256×0valid
Compiler

Compiled 478 to 322 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 5.0ms (37.8% of total)
ival-add: 3.0ms (22.7% of total)
ival-log: 3.0ms (22.7% of total)
ival-mult: 2.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.0005767309791778933
1.478258031662542
Results
8.0ms128×0valid
Compiler

Compiled 198 to 138 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 1.0ms (19.3% of total)
ival-log: 1.0ms (19.3% of total)
ival-mult: 1.0ms (19.3% of total)
ival-sqrt: 1.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×+-commutative_binary64
28×*-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083375
1111375
2119375
3125375
4130375
5132375
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 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 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 -2476979795053773/2251799813685248 binary64)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) 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 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) 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 4728779608739021/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 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))))))) (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 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 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 -2476979795053773/2251799813685248 binary64)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))))) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) 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 2206763817411543/2251799813685248 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) 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 4728779608739021/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 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 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 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))))))) (log.f64 (+.f64 x x)))
x

soundness1.2s (12.4%)

Rules
3916×/-lowering-/.f32
3916×/-lowering-/.f64
3482×*-lowering-*.f32
3482×*-lowering-*.f64
3468×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030174
1191157
21690152
08360152
01311209
13471134
210091113
331731104
084971104
0125956
1367871
21126837
33910791
08541791
078
1126
2136
3146
0146
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 659 to 272 computations (58.7% saved)

preprocess106.0ms (1.1%)

Compiler

Compiled 822 to 208 computations (74.7% saved)

end0.0ms (0%)

Profiling

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