Hyperbolic tangent

Time bar (total: 10.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 8 computations (46.7% saved)

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

sample3.5s (32.2%)

Results
2.2s7741×1valid
591.0ms7949×0unsamplable
58.0ms515×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 1.2s (58.3% of total)
ival-div: 205.0ms (9.6% of total)
ival-neg: 184.0ms (8.6% of total)
ival-add: 170.0ms (8% of total)
backward-pass: 163.0ms (7.6% of total)
ival-sub: 152.0ms (7.1% of total)
const: 17.0ms (0.8% of total)
Bogosity

preprocess171.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
1626×fnmadd-define
1560×sum3-define
1378×fma-define
1216×sum5-define
904×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
14639
210239
324239
467839
5178939
6542439
7584939
8590639
9598339
10605339
11610939
12613339
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318113
10340913
11356713
12368413
0368413
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Call 2
Inputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))
Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x))))
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))
(/ (- (recip (exp x)) (exp x)) (+ (exp x) (recip (exp x))))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x))))
Symmetry

(negabs x)

explain291.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
40-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-x
01(185.729683838744)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
238.0ms484×1valid
3.0ms28×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-exp: 90.0ms (65.7% of total)
ival-add: 12.0ms (8.8% of total)
backward-pass: 12.0ms (8.8% of total)
ival-sub: 10.0ms (7.3% of total)
ival-div: 8.0ms (5.8% of total)
ival-neg: 5.0ms (3.6% of total)
const: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 13 computations (27.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶9.1%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶10.6%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify97.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff12544
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓cost-diff0
(exp.f64 (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Rules
1028×fnmadd-define
882×sum3-define
826×fmsub-define
808×fnmsub-define
702×fmm-def
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
01994
14289
27289
311389
420289
545689
6109689
7169989
8316789
9381889
10408787
11425387
12427387
0427387
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
(/ 1 (+ 1 (exp (* x -2))))
1
(+ 1 (exp (* x -2)))
(exp (* x -2))
(* x -2)
x
-2
(/ 1 (+ 1 (exp (* x 2))))
(+ 1 (exp (* x 2)))
(exp (* x 2))
(* x 2)
2
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
(+ (exp x) (exp (neg x)))
Outputs
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/ 1 (+ 1 (exp (* x -2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (exp (* x -2)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(exp (* x -2))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ 1 (+ 1 (exp (* x 2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1 (exp (* x 2)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(exp (* x 2))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))

localize236.0ms (2.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy98.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy10.6%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy10.6%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Results
204.0ms245×1valid
3.0ms11×0valid
Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-exp: 74.0ms (57.3% of total)
backward-pass: 17.0ms (13.2% of total)
ival-div: 11.0ms (8.5% of total)
ival-add: 10.0ms (7.7% of total)
ival-mult: 8.0ms (6.2% of total)
ival-sub: 5.0ms (3.9% of total)
ival-neg: 2.0ms (1.5% of total)
const: 1.0ms (0.8% of total)

series9.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))>
#<alt (/ 1 (+ 1 (exp (* x -2))))>
#<alt (+ 1 (exp (* x -2)))>
#<alt (exp (* x -2))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (/ 1 (+ 1 (exp (* x 2))))>
#<alt (+ 1 (exp (* x 2)))>
#<alt (+ (exp x) (exp (neg x)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 x))>
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))>
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@0
(- (exp x) (exp (neg x)))
1.0ms
x
@inf
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
1.0ms
x
@0
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
1.0ms
x
@-inf
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms
x
@0
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))

rewrite342.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4462×/-lowering-/.f32
4462×/-lowering-/.f64
3706×*-lowering-*.f32
3706×*-lowering-*.f64
2134×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01960
112257
2126957
0858457
Stop Event
1×iter limit
1×node limit
Counts
11 → 489
Calls
Call 1
Inputs
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
(/ 1 (+ 1 (exp (* x -2))))
(+ 1 (exp (* x -2)))
(exp (* x -2))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(/ 1 (+ 1 (exp (* x 2))))
(+ 1 (exp (* x 2)))
(+ (exp x) (exp (neg x)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
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(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (sinh.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (tanh.f64 x))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))

simplify265.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
2798×*-lowering-*.f32
2798×*-lowering-*.f64
2158×+-lowering-+.f64
2158×+-lowering-+.f32
1540×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0149970
1430889
21170859
33291859
45106859
56747859
08106859
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
1/2
(+ 1/2 (* 1/2 x))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -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) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
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 (* -4/3 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 -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
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) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/15 binary64)))))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ 1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 2 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64)))))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+ 1 (exp (* 2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))

eval82.0ms (0.8%)

Compiler

Compiled 17382 to 1784 computations (89.7% saved)

prune78.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6545659
Fresh000
Picked202
Done000
Total6565661
Accuracy
100.0%
Counts
661 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
▶97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
▶97.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
▶100.0%
(tanh.f64 x)
▶97.4%
x
Compiler

Compiled 106 to 68 computations (35.8% saved)

simplify188.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 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 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 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 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 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
(tanh.f64 x)
Rules
2416×fma-lowering-fma.f32
2416×fma-lowering-fma.f64
2316×*-lowering-*.f32
2316×*-lowering-*.f64
2054×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024165
1103145
2334142
3928142
41823142
52553142
62886142
73804142
85391142
08247142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(tanh x)
x
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 2/15))))))
x
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
1
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(* x x)
(+ -1/3 (* x (* x 2/15)))
-1/3
(* x (* x 2/15))
(* x 2/15)
2/15
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
1
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
Outputs
(tanh x)
(tanh.f64 x)
x
x
(* x (+ 1 (* x (* x -1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* x (* x -1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* 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 2/15))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
x
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x x)
(*.f64 x x)
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x (* x 2/15))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)

localize186.0ms (1.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
✓accuracy99.8%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 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))
✓accuracy100.0%
(tanh.f64 x)
Results
121.0ms256×0valid
Compiler

Compiled 195 to 25 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 36.0ms (61.6% of total)
...c/correct-round.rkt:119:19: 12.0ms (20.5% of total)
ival-add: 9.0ms (15.4% of total)
ival-tanh: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (tanh 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 2/15))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))>
#<alt (* (* x x) (+ -1/3 (* x (* x 2/15))))>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* x (* x 2/15))>
#<alt (* x 2/15)>
#<alt (+ -1/3 (* x (* x 2/15)))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<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 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (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 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<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) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
Calls

51 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
2.0ms
x
@0
(* x (+ 1 (* x (* x -1/3))))
1.0ms
x
@inf
(tanh x)
1.0ms
x
@-inf
(tanh x)
1.0ms
x
@inf
(* x (+ 1 (* x (* x -1/3))))

rewrite443.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4248×*-lowering-*.f32
4248×*-lowering-*.f64
3118×/-lowering-/.f32
3118×/-lowering-/.f64
2370×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024132
1175115
21634112
09211112
Stop Event
1×iter limit
1×node limit
Counts
17 → 443
Calls
Call 1
Inputs
(tanh 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 2/15))))))
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x (* x 2/15))
(* x 2/15)
(+ -1/3 (* x (* x 2/15)))
(* (* x x) -17/315)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
Outputs
(-.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 (+.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(tanh.f64 x)
(+.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
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(fma.f64 #s(literal -17/315 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/315 binary64)) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) x) x (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64)))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64))) (*.f64 x x)) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64))))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))))) (neg.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4913/31255875 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) x)

simplify205.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3182×*-lowering-*.f32
3182×*-lowering-*.f64
1828×+-lowering-+.f64
1828×+-lowering-+.f32
1740×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951591
12581358
27381324
324591296
080381296
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
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 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (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 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -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) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
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) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
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 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
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(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))

eval128.0ms (1.2%)

Compiler

Compiled 21337 to 1839 computations (91.4% saved)

prune338.0ms (3.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7034707
Fresh000
Picked145
Done000
Total7048712
Accuracy
100.0%
Counts
712 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.3%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
▶97.6%
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
▶97.7%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
▶97.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓97.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 165 to 80 computations (51.5% saved)

simplify216.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓cost-diff2688
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
✓cost-diff0
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
✓cost-diff256
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓cost-diff256
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
Rules
3144×*-lowering-*.f32
3144×*-lowering-*.f64
2882×fma-lowering-fma.f32
2882×fma-lowering-fma.f64
2060×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032341
1128299
2481283
32233279
45915279
08263279
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1)))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1))
(* x (* x -1/3))
(* x -1/3)
-1/3
(+ (* (* x x) (* x (* x 2/15))) 1)
(* (* x x) (* x (* x 2/15)))
(* x x)
(* x (* x 2/15))
(* x 2/15)
2/15
1
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1))
(* x (* x -1/3))
(* x -1/3)
-1/3
(+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)
(* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315))))))
(* x x)
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(* x (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
1
(+ (* (* x -1/3) (* x x)) x)
(* (* x -1/3) (* x x))
(* x -1/3)
x
-1/3
(* x x)
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(* x x)
x
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
-1/3
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(* x (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
(- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
Outputs
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 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 x) (* x (* x 2/15))) 1)
(+.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(* (* x x) (* x (* x 2/15)))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
(* x (* x 2/15))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
1
#s(literal 1 binary64)
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 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 x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* x x)
(*.f64 x x)
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* x (+ 2/15 (* x (* x -17/315))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
1
#s(literal 1 binary64)
(+ (* (* x -1/3) (* x x)) x)
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* (* x -1/3) (* x x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
x
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
(* x x)
(*.f64 x x)
x
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
-1/3
#s(literal -1/3 binary64)
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* x (+ 2/15 (* x (* x -17/315))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))

localize258.0ms (2.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓accuracy60.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.8%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
Results
189.0ms256×0valid
Compiler

Compiled 493 to 33 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
...c/correct-round.rkt:119:19: 48.0ms (46% of total)
ival-mult: 42.0ms (40.2% of total)
ival-add: 8.0ms (7.7% of total)
ival-sub: 3.0ms (2.9% of total)
ival-div: 2.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1))>
#<alt (* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1)))>
#<alt (* x (* x -1/3))>
#<alt (* x -1/3)>
#<alt (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1))>
#<alt (* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)))>
#<alt (+ (* (* x -1/3) (* x x)) x)>
#<alt (* (* x -1/3) (* x x))>
#<alt (* x x)>
#<alt (/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))>
#<alt (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))>
#<alt (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))>
#<alt (* x (* x 2/15))>
#<alt (* x 2/15)>
#<alt (* x -17/315)>
#<alt (* x (* x -17/315))>
#<alt (* x (* x (+ 2/15 (* x (* x -17/315)))))>
#<alt (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<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 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))>
#<alt (* -289/99225 (pow x 14))>
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))>
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* -289/99225 (pow x 14))>
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))>
#<alt (* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* 1/9 (pow x 6))>
#<alt (* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))>
#<alt (* 289/99225 (pow x 14))>
#<alt (* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
#<alt (* 289/99225 (pow x 14))>
#<alt (* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 5))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
0.0ms
x
@inf
(+ (* (* x -1/3) (* x x)) x)
0.0ms
x
@0
(+ (* (* x -1/3) (* x x)) x)
0.0ms
x
@-inf
(* x -17/315)
0.0ms
x
@0
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))

rewrite609.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4432×*-lowering-*.f32
4432×*-lowering-*.f64
3836×/-lowering-/.f32
3836×/-lowering-/.f64
1456×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032200
1243154
22360153
09067153
Stop Event
1×iter limit
1×node limit
Counts
18 → 383
Calls
Call 1
Inputs
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1))
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x 2/15))) 1)))
(* x (* x -1/3))
(* x -1/3)
(+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1))
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* x (* x (+ 2/15 (* x (* x -17/315)))))) 1)))
(+ (* (* x -1/3) (* x x)) x)
(* (* x -1/3) (* x x))
(* x x)
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(* x (* x 2/15))
(* x 2/15)
(* x -17/315)
(* x (* x -17/315))
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))) (-.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64))))
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(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) x)
(*.f64 x #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) x)
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(*.f64 #s(literal -17/315 binary64) x)
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -17/315 binary64)) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x))
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(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) x)
(+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x #s(literal -1/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (-.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(fma.f64 x #s(literal -1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(fma.f64 #s(literal -1/3 binary64) x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
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(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) x) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
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(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) x)

simplify289.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3466×*-lowering-*.f32
3466×*-lowering-*.f64
3352×+-lowering-+.f64
3352×+-lowering-+.f32
1450×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601777
14511561
213151513
344411498
083071498
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -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)
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(* -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
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))
(* -289/99225 (pow x 14))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* -289/99225 (pow x 14))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* 1/9 (pow x 6))
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))
(* 289/99225 (pow x 14))
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(* 289/99225 (pow x 14))
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
Outputs
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) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x 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 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) 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) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.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 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 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))))
(* 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 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.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)))
(* -1 (* (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 (* (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 (* (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)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -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) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/9 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x #s(literal 4/45 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -254/4725 binary64)))))))))
(* -289/99225 (pow x 14))
(*.f64 #s(literal -289/99225 binary64) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (*.f64 x x))))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/99225 binary64) (+.f64 (+.f64 (/.f64 #s(literal 68/4725 binary64) (*.f64 x x)) (/.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -289/99225 (pow x 14))
(*.f64 #s(literal -289/99225 binary64) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (*.f64 x x))))
(* (pow x 14) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal -289/99225 binary64) (/.f64 #s(literal 68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 14) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal -289/99225 binary64) (+.f64 (+.f64 (/.f64 #s(literal 68/4725 binary64) (*.f64 x x)) (/.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/9 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x #s(literal 254/4725 binary64)))))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))))
(* 289/99225 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 289/99225 binary64))
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 289/99225 (pow x 14))
(*.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal 289/99225 binary64))
(* (pow x 14) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x)))))
(* (pow x 14) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* -17/315 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -17/315 binary64))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -17/315 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -17/315 binary64))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))

eval177.0ms (1.6%)

Compiler

Compiled 66359 to 1937 computations (97.1% saved)

prune94.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New9801981
Fresh000
Picked134
Done044
Total9818989
Accuracy
100.0%
Counts
989 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.5%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓97.6%
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
✓97.7%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
✓97.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓97.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 159 to 85 computations (46.5% saved)

simplify266.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
Rules
3086×*-lowering-*.f32
3086×*-lowering-*.f64
2002×fma-lowering-fma.f32
2002×fma-lowering-fma.f64
1362×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022235
180207
2360193
32166184
45245184
08093184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))
(* x x)
x
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))
(* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
-1/3
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(* x (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
(* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))
(* x (+ -1/3 (* x (* x 2/15))))
(+ -1/3 (* x (* x 2/15)))
(* x (* x 2/15))
(* x 2/15)
(- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
Outputs
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))) (/.f64 x x)))
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64)))
(* x x)
(*.f64 x x)
x
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* x (+ 2/15 (* x (* x -17/315))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x (+ -1/3 (* x (* x 2/15))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* x (* x 2/15))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
(- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))

localize132.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 x #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓accuracy60.5%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
Results
88.0ms256×0valid
Compiler

Compiled 278 to 23 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 28.0ms (58.7% of total)
...c/correct-round.rkt:119:19: 11.0ms (23.1% of total)
ival-sub: 3.0ms (6.3% of total)
ival-add: 3.0ms (6.3% of total)
ival-div: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))>
#<alt (/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))>
#<alt (* x x)>
#<alt (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))>
#<alt (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))>
#<alt (* x (+ -1/3 (* x (* x 2/15))))>
#<alt (* x -17/315)>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9))))>
#<alt (* 34/4725 (pow x 12))>
#<alt (* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))>
#<alt (* 34/4725 (pow x 12))>
#<alt (* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/9 (pow x 6))>
#<alt (* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45))))>
#<alt (* -34/4725 (pow x 12))>
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))>
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))>
#<alt (* -34/4725 (pow x 12))>
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))>
#<alt (* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 5))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
0.0ms
x
@0
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))
0.0ms
x
@inf
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))
0.0ms
x
@-inf
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
0.0ms
x
@inf
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))

rewrite414.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4758×*-lowering-*.f32
4758×*-lowering-*.f64
2940×/-lowering-/.f32
2940×/-lowering-/.f64
2026×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022135
1159111
21491108
08352108
Stop Event
1×iter limit
1×node limit
Counts
7 → 316
Calls
Call 1
Inputs
(- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15)))))))
(/ (- (* x x) (* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))) (- x (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(* x x)
(* (* (* x x) (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))) (* (* x x) (* x (+ -1/3 (* x (* x 2/15))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(* x (+ -1/3 (* x (* x 2/15))))
(* x -17/315)
Outputs
(+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))))))))
(+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))))
(+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))))
(+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x)))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) x)
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)

simplify244.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3400×*-lowering-*.f32
3400×*-lowering-*.f64
2868×+-lowering-+.f64
2868×+-lowering-+.f32
1248×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0148802
1427713
21258694
34169690
08305690
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9))))
(* 34/4725 (pow x 12))
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))
(* 34/4725 (pow x 12))
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15)))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/9 (pow x 6))
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45))))
(* -34/4725 (pow x 12))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(* -34/4725 (pow x 12))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/45 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -169/4725 (pow x 2)))) 1/9))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64)))))))))
(* 34/4725 (pow x 12))
(*.f64 #s(literal 34/4725 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 34/4725 (pow x 12))
(*.f64 #s(literal 34/4725 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 34/4725 (* 169/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (* 169/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 34/4725 binary64) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))))
(* (pow x 12) (- (+ 34/4725 (/ 4/45 (pow x 4))) (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 6 binary64))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (+ 2/15 (* -1 (/ (+ 1/3 (* 42/17 (/ 1 (pow x 4)))) (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -42/17 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (* 21/289 (/ 1 (pow x 8)))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 21/289 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) 2/15)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 42/17 (pow x 6))) (+ 2/15 (* 21/289 (/ 1 (pow x 8)))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 21/289 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -42/17 binary64) (pow.f64 x #s(literal 6 binary64))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/9 (pow x 6))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/9 (* -4/45 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal -4/45 binary64)))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* 169/4725 (pow x 2)) 4/45))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x #s(literal 169/4725 binary64))))))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 169/4725 (* -34/4725 (pow x 2)))) 4/45))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 169/4725 binary64) (*.f64 (*.f64 x x) #s(literal -34/4725 binary64))))))))
(* -34/4725 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -34/4725 binary64))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64)))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -34/4725 binary64) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))))
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))) (/.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -34/4725 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -34/4725 binary64))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) 34/4725))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 169/4725 binary64) (*.f64 x x)) #s(literal -34/4725 binary64)))
(* (pow x 12) (- (* 169/4725 (/ 1 (pow x 2))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -34/4725 binary64) (+.f64 (/.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))))
(* (pow x 12) (- (+ (* 169/4725 (/ 1 (pow x 2))) (* 1/9 (/ 1 (pow x 6)))) (+ 34/4725 (/ 4/45 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 34/4725 binary64) (/.f64 #s(literal -169/4725 binary64) (*.f64 x x)))) (/.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(* -17/315 (pow x 5))
(*.f64 #s(literal -17/315 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -17/315 (pow x 5))
(*.f64 #s(literal -17/315 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* x (- (* 2/15 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))

eval92.0ms (0.8%)

Compiler

Compiled 61963 to 1528 computations (97.5% saved)

prune69.0ms (0.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New5003503
Fresh000
Picked011
Done077
Total50011511
Accuracy
100.0%
Counts
511 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.5%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
58.4%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
58.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
58.5%
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
✓97.6%
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
✓97.7%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
✓97.8%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓97.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 772 to 254 computations (67.1% saved)

regimes12.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 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 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
(tanh.f64 x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes5.0ms (0%)

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 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 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 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 x x) #s(literal -169/4725 binary64))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
Compiler

Compiled 2 to 1 computations (50% 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 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
Outputs
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.6%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
97.6%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
97.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
8×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01836
13336
Stop Event
1×saturated
Calls
Call 1
Inputs
(tanh.f64 x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x
Outputs
(tanh.f64 x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) x)
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x

soundness1.3s (12%)

Rules
4462×/-lowering-/.f32
4462×/-lowering-/.f64
4248×*-lowering-*.f32
4248×*-lowering-*.f64
3706×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01960
112257
2126957
0858457
024132
1175115
21634112
09211112
0149970
1430889
21170859
33291859
45106859
56747859
08106859
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318113
10340913
11356713
12368413
0368413
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 92 to 56 computations (39.1% saved)

preprocess43.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 114 to 58 computations (49.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...