Hyperbolic arc-(co)tangent

Time bar (total: 8.9s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (51.7% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.9s (33%)

Results
1.6s6103×1valid
820.0ms1905×2valid
24.0ms248×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-log: 1.0s (50.7% of total)
ival-div: 343.0ms (17.2% of total)
backward-pass: 193.0ms (9.7% of total)
ival-mult: 157.0ms (7.9% of total)
ival-add: 149.0ms (7.5% of total)
ival-sub: 110.0ms (5.5% of total)
const: 28.0ms (1.4% of total)
Bogosity

preprocess75.0ms (0.8%)

Algorithm
egg-herbie
Rules
928×fnmadd-define
886×sum3-define
610×fma-define
552×sum5-define
508×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01732
13630
26030
311930
424530
554230
6154730
7267130
8338930
01010
11610
22010
32610
43510
55010
67310
79810
814510
921710
1027110
1144210
1299010
13168910
14176710
0176710
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
Outputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Call 2
Inputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))))
Outputs
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x)))))
(* 1/2 (log (/ (- 1 x) (+ 1 x))))
(neg (* (/ 1 2) (log (/ (+ 1 (neg x)) (- 1 (neg x))))))
(* (log (/ (- 1 x) (+ 1 x))) -1/2)

explain255.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
00-0-x
00-0-(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Results
140.0ms402×1valid
59.0ms96×2valid
1.0ms14×0valid
Compiler

Compiled 95 to 29 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-log: 60.0ms (42.5% of total)
ival-add: 26.0ms (18.4% of total)
ival-div: 25.0ms (17.7% of total)
backward-pass: 12.0ms (8.5% of total)
ival-mult: 9.0ms (6.4% of total)
ival-sub: 6.0ms (4.2% of total)
const: 2.0ms (1.4% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify32.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Rules
422×sum3-define
384×sum5-define
328×fnmadd-define
258×fma-define
252×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11434
21834
32434
43334
54834
67134
79634
814334
921534
1026634
1143534
1298534
13168534
14176334
0176334
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
1/2
(log (/ (+ 1 x) (- 1 x)))
(/ (+ 1 x) (- 1 x))
(+ 1 x)
1
x
(- 1 x)
Outputs
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1/2
#s(literal 1/2 binary64)
(log (/ (+ 1 x) (- 1 x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/ (+ 1 x) (- 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)

localize92.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy7.9%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
Results
54.0ms201×1valid
20.0ms48×2valid
1.0ms0valid
Compiler

Compiled 36 to 9 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 27.0ms (52.7% of total)
backward-pass: 7.0ms (13.7% of total)
ival-mult: 5.0ms (9.8% of total)
ival-div: 4.0ms (7.8% of total)
ival-add: 4.0ms (7.8% of total)
ival-sub: 3.0ms (5.9% of total)
const: 1.0ms (2% of total)

series4.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (* 1/2 (log (/ (+ 1 x) (- 1 x))))>
#<alt (log (/ (+ 1 x) (- 1 x)))>
#<alt (/ (+ 1 x) (- 1 x))>
#<alt (+ 1 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

12 calls:

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

rewrite319.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
2630×fma-lowering-fma.f32
2630×fma-lowering-fma.f64
2074×/-lowering-/.f32
2074×/-lowering-/.f64
2036×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
14124
231724
3425624
0826724
Stop Event
iter limit
node limit
Counts
4 → 405
Calls
Call 1
Inputs
(* 1/2 (log (/ (+ 1 x) (- 1 x))))
(log (/ (+ 1 x) (- 1 x)))
(/ (+ 1 x) (- 1 x))
(+ 1 x)
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
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(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))

simplify192.0ms (2.2%)

Algorithm
egg-herbie
Rules
2042×*-lowering-*.f32
2042×*-lowering-*.f64
1842×sum3-define
1788×fma-lowering-fma.f32
1788×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110380
1341345
21011337
32857334
45104334
08012334
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x #s(literal 2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 x x))) (*.f64 x x))) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval87.0ms (1%)

Compiler

Compiled 11293 to 1763 computations (84.4% saved)

prune59.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4485453
Fresh000
Picked011
Done000
Total4486454
Accuracy
100.0%
Counts
454 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
99.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
7.8%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
7.8%
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.4%
x
Compiler

Compiled 135 to 92 computations (31.9% saved)

simplify195.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff64
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
Rules
2956×fma-lowering-fma.f32
2956×fma-lowering-fma.f64
2084×fma-define
2074×sum3-define
1980×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032243
1104221
2295215
3821215
41814215
52618215
62872215
73624215
86426215
97968215
08454215
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
1
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x x)
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
1/3
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
x
(* x (+ 1 (* x (* x 1/3))))
x
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
x
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
1
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(* x (+ 1/3 (* x (* x 1/5))))
(+ 1/3 (* x (* x 1/5)))
1/3
(* x (* x 1/5))
(* x 1/5)
1/5
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
1/2
(neg (log (/ (- 1 x) (+ 1 x))))
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)
Outputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(*.f64 x (*.f64 x #s(literal 1/7 binary64)))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
x
(* x (+ 1 (* x (* x 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x
(+ 1 (* x (* x 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(* x (* x 1/3))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
x
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* x (* x 1/5))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(+ 1/3 (* x (* x 1/5)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x 1/5))
(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(* x 1/5)
(*.f64 x #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(neg (log (/ (- 1 x) (+ 1 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(log (/ (- 1 x) (+ 1 x)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 x #s(literal 1 binary64))

localize330.0ms (3.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
accuracy100.0%
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy7.9%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/5 binary64)))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/5 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/7 binary64)))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/7 binary64))
Results
150.0ms172×1valid
119.0ms77×2valid
2.0ms0valid
Compiler

Compiled 245 to 33 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 52.0ms (30.7% of total)
ival-log: 34.0ms (20.1% of total)
...c/correct-round.rkt:119:19: 27.0ms (15.9% of total)
backward-pass: 21.0ms (12.4% of total)
ival-add: 18.0ms (10.6% of total)
ival-neg: 9.0ms (5.3% of total)
ival-div: 5.0ms (3% of total)
ival-sub: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)

series18.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* x x)>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<alt (* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))>
#<alt (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))>
#<alt (* x (* x (+ 1/3 (* x (* x 1/5)))))>
#<alt (* x (+ 1/3 (* x (* x 1/5))))>
#<alt (* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))>
#<alt (log (/ (- 1 x) (+ 1 x)))>
#<alt (/ (- 1 x) (+ 1 x))>
#<alt (- 1 x)>
#<alt (* x 1/7)>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/7))>
#<alt (* x 1/5)>
#<alt (* x (* x 1/5))>
#<alt (neg (log (/ (- 1 x) (+ 1 x))))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* x 1/3)
1.0ms
x
@-inf
(* x (+ 1 (* x (* x 1/3))))
1.0ms
x
@0
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
0.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
0.0ms
x
@-inf
(* x 1/3)

rewrite324.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
4284×*-lowering-*.f32
4284×*-lowering-*.f64
3234×/-lowering-/.f32
3234×/-lowering-/.f64
2296×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032197
1200170
21819166
08571166
Stop Event
iter limit
node limit
Counts
22 → 599
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* x x)
(* x (+ 1 (* x (* x 1/3))))
(+ 1 (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
(* x (+ 1 (* x (* x (+ 1/3 (* x (* x 1/5)))))))
(+ 1 (* x (* x (+ 1/3 (* x (* x 1/5))))))
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(* x (+ 1/3 (* x (* x 1/5))))
(* 1/2 (neg (log (/ (- 1 x) (+ 1 x)))))
(log (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
(* x 1/7)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x (* x 1/7))
(* x 1/5)
(* x (* x 1/5))
(neg (log (/ (- 1 x) (+ 1 x))))
Outputs
(+.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) x)
(fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) x)
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) (*.f64 x x) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
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(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x #s(literal 1/5 binary64)) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/7 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/7 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) x) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/7 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/49 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))) x)
(*.f64 x (*.f64 x #s(literal 1/7 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/7 binary64)) x)
(*.f64 x #s(literal 1/5 binary64))
(*.f64 #s(literal 1/5 binary64) x)
(*.f64 x (*.f64 x #s(literal 1/5 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(*.f64 #s(literal 1/5 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/5 binary64)) x)
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))

simplify346.0ms (3.9%)

Algorithm
egg-herbie
Rules
5660×*-lowering-*.f32
5660×*-lowering-*.f64
1924×+-lowering-+.f64
1924×+-lowering-+.f32
1894×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142043
16891879
219561854
084741854
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x)))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/7 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x)))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) x) x)))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
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(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/5 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/5 binary64) (*.f64 (*.f64 x x) #s(literal 2/7 binary64)))))))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 #s(literal -1 binary64)))))
(* -1 (log -1))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))
(- (* 2 (/ 1 x)) (log -1))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64)))

eval194.0ms (2.2%)

Compiler

Compiled 23676 to 2814 computations (88.1% saved)

prune114.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8832885
Fresh000
Picked145
Done101
Total8856891
Accuracy
100.0%
Counts
891 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
99.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
7.8%
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
99.4%
x
Compiler

Compiled 159 to 64 computations (59.7% saved)

simplify271.0ms (3.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
Rules
3388×+-lowering-+.f64
3388×+-lowering-+.f32
3022×*-lowering-*.f32
3022×*-lowering-*.f64
1136×+-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029572
196387
2432382
32959378
45706374
57348374
08302374
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* -1/2 (log (/ (- 1 x) (+ x 1))))
-1/2
(log (/ (- 1 x) (+ x 1)))
(/ (- 1 x) (+ x 1))
(- 1 x)
1
x
(+ x 1)
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
x
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
1
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
1/3
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x x)
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* (* x x) (* x x))
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)
Outputs
(* -1/2 (log (/ (- 1 x) (+ x 1))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
-1/2
#s(literal -1/2 binary64)
(log (/ (- 1 x) (+ x 1)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ x 1))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))))
x
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* x x)
(*.f64 x x)
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64)))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64))))
(- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) #s(literal -1 binary64))

localize381.0ms (4.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/7 binary64)))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
accuracy99.5%
(*.f64 x #s(literal 1/7 binary64))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
accuracy7.9%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
Results
171.0ms171×1valid
111.0ms78×2valid
2.0ms0valid
Compiler

Compiled 579 to 30 computations (94.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 45.0ms (25.7% of total)
backward-pass: 34.0ms (19.4% of total)
...c/correct-round.rkt:119:19: 29.0ms (16.5% of total)
ival-log: 29.0ms (16.5% of total)
ival-div: 16.0ms (9.1% of total)
ival-add: 14.0ms (8% of total)
ival-sub: 7.0ms (4% of total)
const: 1.0ms (0.6% of total)

series7.0ms (0.1%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (* -1/2 (log (/ (- 1 x) (+ x 1))))>
#<alt (log (/ (- 1 x) (+ x 1)))>
#<alt (/ (- 1 x) (+ x 1))>
#<alt (- 1 x)>
#<alt (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))>
#<alt (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))>
#<alt (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (+ x 1)>
#<alt (* x 1/7)>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/7))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/27 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/27 (pow x 6))>
#<alt (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
0.0ms
x
@0
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
0.0ms
x
@-inf
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
0.0ms
x
@0
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
0.0ms
x
@inf
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))

rewrite494.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
3344×*-lowering-*.f32
3344×*-lowering-*.f64
2734×/-lowering-/.f32
2734×/-lowering-/.f64
2524×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029307
1195202
21859199
09332199
Stop Event
iter limit
node limit
Counts
13 → 406
Calls
Call 1
Inputs
(* -1/2 (log (/ (- 1 x) (+ x 1))))
(log (/ (- 1 x) (+ x 1)))
(/ (- 1 x) (+ x 1))
(- 1 x)
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1)))))
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) 1))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(+ x 1)
(* x 1/7)
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x (* x 1/7))
Outputs
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/7 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/7 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/7 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64)))) (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/49 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/343 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(*.f64 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))) x)
(*.f64 x (*.f64 x #s(literal 1/7 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/7 binary64)) x)

simplify220.0ms (2.5%)

Algorithm
egg-herbie
Rules
3792×*-lowering-*.f32
3792×*-lowering-*.f64
1800×+-lowering-+.f64
1800×+-lowering-+.f32
1600×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02131403
16611313
219061289
355791281
081941281
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* 1/27 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/27 (pow x 6))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(* -1/2 (log -1))
(*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x x))) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2/3 (pow x 2)) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2/3 binary64))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/5 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 x x) #s(literal -2/7 binary64))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) x))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (/.f64 #s(literal 2/5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/27 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64))))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/27 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64)))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/15 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 46/525 binary64) (*.f64 (*.f64 x x) #s(literal 57/875 binary64))))))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* 1/7 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/7 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* 1/5 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(* 1/7 (pow x 4))
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/7 (pow x 4))
(*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))

eval200.0ms (2.3%)

Compiler

Compiled 82551 to 3390 computations (95.9% saved)

prune140.0ms (1.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New9371938
Fresh000
Picked112
Done044
Total9386944
Accuracy
100.0%
Counts
944 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
99.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
7.8%
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
99.4%
x
Compiler

Compiled 153 to 69 computations (54.9% saved)

simplify179.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64))))))))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
Rules
2678×*-lowering-*.f32
2678×*-lowering-*.f64
2176×+-lowering-+.f64
2176×+-lowering-+.f32
1440×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028543
199360
2459355
33059355
46127355
57098355
08233355
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))))
x
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
1
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
1/3
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(* x x)
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(* (* x x) (* x x))
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))
(- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(* x (+ 1/3 (* x (* x 1/5))))
(+ 1/3 (* x (* x 1/5)))
(* x (* x 1/5))
(* x 1/5)
Outputs
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64))))))
x
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64)))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))
1
#s(literal 1 binary64)
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* x (* x 1/7))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* x x)
(*.f64 x x)
(+ 1/5 (* x (* x 1/7)))
(+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* x (* x 1/7))
(*.f64 (*.f64 x x) #s(literal 1/7 binary64))
(* x 1/7)
(*.f64 x #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64)))
(- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal -1 binary64))
(* x (* x (+ 1/3 (* x (* x 1/5)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(* x (+ 1/3 (* x (* x 1/5))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(+ 1/3 (* x (* x 1/5)))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))
(* x (* x 1/5))
(*.f64 x (*.f64 x #s(literal 1/5 binary64)))
(* x 1/5)
(*.f64 x #s(literal 1/5 binary64))

localize154.0ms (1.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/7 binary64))
accuracy99.5%
(*.f64 x #s(literal 1/5 binary64))
Results
92.0ms256×0valid
Compiler

Compiled 550 to 29 computations (94.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 42.0ms (67.9% of total)
...c/correct-round.rkt:119:19: 10.0ms (16.2% of total)
ival-add: 6.0ms (9.7% of total)
ival-div: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))))>
#<alt (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))>
#<alt (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (* x 1/5)>
#<alt (* x 1/7)>
#<alt (* x (+ 1/3 (* x (* x 1/5))))>
#<alt (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 5/49 (pow x 9))>
#<alt (* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))>
#<alt (* 5/49 (pow x 9))>
#<alt (* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49)))>
#<alt (* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 5/49 (pow x 8))>
#<alt (* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))>
#<alt (* 5/49 (pow x 8))>
#<alt (* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* 1/27 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))>
#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/27 (pow x 6))>
#<alt (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
Calls

24 calls:

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

rewrite385.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
3206×*-lowering-*.f32
3206×*-lowering-*.f64
2582×fma-lowering-fma.f32
2582×fma-lowering-fma.f64
2462×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028260
1181161
21748161
08334161
Stop Event
iter limit
node limit
Counts
8 → 218
Calls
Call 1
Inputs
(* x (/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1)))))
(/ (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))) (+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (- (* x (* x (+ 1/3 (* x (* x 1/5))))) 1))))
(+ 1 (* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))
(* (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))) (* (* (* x x) (* x x)) (* (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))) (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))
(* x 1/5)
(* x 1/7)
(* x (+ 1/3 (* x (* x 1/5))))
(* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))
Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))) x)

simplify223.0ms (2.5%)

Algorithm
egg-herbie
Rules
3314×*-lowering-*.f32
3314×*-lowering-*.f64
2822×+-lowering-+.f64
2822×+-lowering-+.f32
1374×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0129944
1401882
21236872
33754869
47405869
08084869
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 5/49 (pow x 9))
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
(* 5/49 (pow x 9))
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49)))
(* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 5/49 (pow x 8))
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
(* 5/49 (pow x 8))
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
1
(+ 1 (* 1/27 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/27 (pow x 6))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* 5/49 (pow x 9))
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))))
(* (pow x 9) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 9) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 5/49 (pow x 9))
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 17/147 (* 313/315 (/ 1 (pow x 2)))) (pow x 2))) 5/49)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (/.f64 (+.f64 #s(literal 17/147 binary64) (/.f64 #s(literal 313/315 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 9) (- (* 544/1323 (/ 1 (pow x 6))) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 5/49 (pow x 8))
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
(*.f64 (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
(* 5/49 (pow x 8))
(*.f64 #s(literal 5/49 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 5/49 (* 17/147 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 5/49 binary64) (/.f64 #s(literal 17/147 binary64) (*.f64 x x))) (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/49 (+ (/ 313/315 (pow x 4)) (* 17/147 (/ 1 (pow x 2))))) (* 544/1323 (/ 1 (pow x 6)))))
(*.f64 (+.f64 #s(literal 5/49 binary64) (+.f64 (/.f64 #s(literal 313/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 17/147 binary64) (*.f64 x x)) (/.f64 #s(literal -544/1323 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/27 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64))))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64)))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/27 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x #s(literal 1/15 binary64)))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) #s(literal 46/525 binary64))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 46/525 binary64) (*.f64 (*.f64 x x) #s(literal 57/875 binary64)))))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/343 (pow x 18))
(*.f64 #s(literal 1/343 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 3/245 binary64) (*.f64 x x))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/343 binary64) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (/.f64 #s(literal 3/245 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 46/1225 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/343 binary64) (/.f64 #s(literal 57/875 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/7 x)
(*.f64 x #s(literal 1/7 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* 1/5 (pow x 3))
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* 1/5 (pow x 3))
(*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* 1/7 (pow x 5))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/7 (pow x 5))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/7 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))

eval90.0ms (1%)

Compiler

Compiled 42201 to 1390 computations (96.7% saved)

prune41.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3922394
Fresh000
Picked011
Done055
Total3928400
Accuracy
100.0%
Counts
400 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
99.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
99.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
99.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
7.8%
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
99.4%
x
Compiler

Compiled 761 to 195 computations (74.4% saved)

regimes29.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) #s(literal 1 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))) #s(literal 1 binary64))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
Calls

4 calls:

18.0ms
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms
x
3.0ms
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
99.8%1(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
99.8%1(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×*-commutative_binary64
12×+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02546
14746
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x

soundness411.0ms (4.6%)

Rules
2042×*-lowering-*.f32
2042×*-lowering-*.f64
1842×sum3-define
1788×fma-lowering-fma.f32
1788×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11610
22010
32610
43510
55010
67310
79810
814510
921710
1027110
1144210
1299010
13168910
14176710
0176710
0110380
1341345
21011337
32857334
45104334
08012334
Stop Event
fuel
iter limit
node limit
iter limit
saturated
Compiler

Compiled 141 to 90 computations (36.2% saved)

preprocess62.0ms (0.7%)

Compiler

Compiled 120 to 68 computations (43.3% saved)

end0.0ms (0%)

Profiling

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