Hyperbolic tangent

Time bar (total: 10.0s)

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)

sample3.1s (31.4%)

Results
2.0s7777×1valid
552.0ms7848×0unsamplable
30.0ms479×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 1.3s (62% of total)
ival-div: 207.0ms (10% of total)
ival-add: 186.0ms (9% of total)
ival-sub: 145.0ms (7% of total)
backward-pass: 128.0ms (6.2% of total)
ival-neg: 110.0ms (5.3% of total)
const: 15.0ms (0.7% of total)
Bogosity

preprocess179.0ms (1.8%)

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)

explain208.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
30-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-x
00-0-(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
161.0ms484×1valid
4.0ms28×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-exp: 93.0ms (74% of total)
backward-pass: 9.0ms (7.2% of total)
ival-div: 8.0ms (6.4% of total)
ival-sub: 6.0ms (4.8% of total)
ival-add: 5.0ms (4% of total)
ival-neg: 5.0ms (4% of total)
const: 1.0ms (0.8% 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
▶9.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶10.8%
(-.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)

simplify105.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff12416
(/.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)))

localize216.0ms (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)))
✓accuracy98.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy10.8%
(-.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)))))
✓accuracy10.9%
(-.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
184.0ms243×1valid
2.0ms13×0valid
Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-exp: 85.0ms (57.3% of total)
ival-add: 24.0ms (16.2% of total)
backward-pass: 11.0ms (7.4% of total)
ival-div: 10.0ms (6.7% of total)
ival-mult: 10.0ms (6.7% of total)
ival-sub: 5.0ms (3.4% of total)
ival-neg: 2.0ms (1.3% of total)
const: 1.0ms (0.7% of total)

series7.0ms (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)>
#<alt (- (exp x) (exp (neg 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 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 (* 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 (* -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
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
@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))))

rewrite390.0ms (3.9%)

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 x) (exp (neg 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))))))

simplify223.0ms (2.2%)

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
33276859
45091859
56727859
08081859
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))))
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)
(* 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 (* -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 #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 (*.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 #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 (*.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))))
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)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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 (* -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 x (*.f64 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)))

eval80.0ms (0.8%)

Compiler

Compiled 17382 to 1783 computations (89.7% saved)

prune116.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6536659
Fresh000
Picked202
Done000
Total6556661
Accuracy
100.0%
Counts
661 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
▶97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 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)))))))
▶97.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶100.0%
(tanh.f64 x)
▶97.0%
x
Compiler

Compiled 130 to 84 computations (35.4% saved)

simplify183.0ms (1.8%)

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 x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓cost-diff0
(tanh.f64 x)
Rules
2416×fma-lowering-fma.f32
2416×fma-lowering-fma.f64
2316×*-lowering-*.f32
2316×*-lowering-*.f64
2070×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023164
1101144
2332141
3921141
41806141
52528141
62867141
73790141
85383141
08232141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(tanh x)
x
x
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(* 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 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
-1/3
#s(literal -1/3 binary64)
(* x (* x 2/15))
(*.f64 x (*.f64 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.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))))
(+ 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)

localize146.0ms (1.5%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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)))))
✓accuracy99.8%
(*.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))))
✓accuracy99.9%
(*.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 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(tanh.f64 x)
Results
85.0ms256×0valid
Compiler

Compiled 195 to 24 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 20.0ms (48.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (26.5% of total)
ival-add: 9.0ms (21.7% of total)
ival-tanh: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

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

51 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* x (+ 1 (* -1/3 (* x x))))
1.0ms
x
@inf
(tanh x)
1.0ms
x
@-inf
(tanh x)
1.0ms
x
@inf
(* x (+ 1 (* -1/3 (* x x))))
0.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))

rewrite367.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4256×*-lowering-*.f32
4256×*-lowering-*.f64
3118×/-lowering-/.f32
3118×/-lowering-/.f64
2382×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023140
1173121
21608118
09224118
Stop Event
1×iter limit
1×node limit
Counts
17 → 483
Calls
Call 1
Inputs
(tanh x)
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(* 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 (+ 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)))
(+ -1/3 (* (* 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 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) 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 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x 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 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x 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 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.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))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.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 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (neg.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 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 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 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.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 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal -1 binary64))
(pow.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 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
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(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.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))))))))

simplify212.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
3230×*-lowering-*.f32
3230×*-lowering-*.f64
1878×+-lowering-+.f64
1878×+-lowering-+.f32
1744×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951686
12581436
27461398
325001370
081251370
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))
(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) (- (* 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)))))
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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
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 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)))))))))
(/ (- (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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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) (/.f64 #s(literal 1 binary64) (exp.f64 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)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 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) (- (* 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)))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 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 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)))))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 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 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 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))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.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))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 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))))))))
(* -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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 binary64)))
(* (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 (+.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 6 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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 binary64)))
(* (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 (+.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 6 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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)))))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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)))))))
(* -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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 binary64)))
(* (pow x 6) (- (* 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 6 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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 binary64)))
(* (pow x 6) (- (* 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 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))
-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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 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 (*.f64 x 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 (*.f64 x 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 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 (*.f64 x 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 (*.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)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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)))))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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 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 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 (/ 1/3 (pow x 4)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.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 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 (/ 1/3 (pow x 4)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

eval99.0ms (1%)

Compiler

Compiled 24266 to 2085 computations (91.4% saved)

prune73.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7643767
Fresh011
Picked235
Done000
Total7667773
Accuracy
100.0%
Counts
773 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
▶97.8%
(+.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 x (*.f64 x x))) x)
▶97.5%
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
▶97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
✓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)
✓97.0%
x
Compiler

Compiled 91 to 56 computations (38.5% saved)

simplify180.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(*.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 x (*.f64 x x)))
✓cost-diff0
(+.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 x (*.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 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓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-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
✓cost-diff256
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
Rules
1670×fma-lowering-fma.f32
1670×fma-lowering-fma.f64
1618×fnmadd-define
1526×sum5-define
1216×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029210
191190
2240185
3767184
41970184
52541184
62870184
73350184
85782184
08062184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))))
x
(+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))))
(+ 1 (* x (* x -1/3)))
1
(* x (* x -1/3))
(* x -1/3)
-1/3
(* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
(* x x)
-17/315
(* (* x x) (* x x))
(+ (* x (* x (* x -1/3))) x)
(* x (* x (* x -1/3)))
x
(* x (* x -1/3))
(* x -1/3)
-1/3
(+ (* (+ -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)))
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))
-1/3
(* x (* x (+ 2/15 (* (* x x) -17/315))))
x
(* x (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
(* x x)
-17/315
(* x (* x x))
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(- (exp (* x 2)) 1)
(* x 2)
x
2
(+ 1 (exp (* x 2)))
1
(exp (* x 2))
Outputs
(* x (+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))))
(*.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))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x 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))))))))
(+ 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)
(* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))
(*.f64 (*.f64 x x) (*.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))
(* x x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(+ (* x (* x (* x -1/3))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (* x (* x -1/3)))
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
x
(* 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)
(+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(*.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)))))))))
(* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))
(*.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 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)))))
x
(* 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 x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(- (exp (* x 2)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(+ 1 (exp (* x 2)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(exp (* x 2))
(exp.f64 (*.f64 x #s(literal 2 binary64)))

localize296.0ms (3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(exp.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy99.2%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
✓accuracy99.8%
(*.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 x (*.f64 x x)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
Results
223.0ms244×1valid
4.0ms11×0valid
0.0ms1×0unsamplable
Compiler

Compiled 261 to 30 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 50.0ms (29.5% of total)
...c/correct-round.rkt:119:19: 42.0ms (24.8% of total)
backward-pass: 22.0ms (13% of total)
compiled-spec: 17.0ms (10% of total)
ival-add: 16.0ms (9.5% of total)
ival-exp: 14.0ms (8.3% of total)
ival-div: 3.0ms (1.8% of total)
ival-sub: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)

series11.0ms (0.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (* x (+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))))>
#<alt (+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))))>
#<alt (+ 1 (* x (* x -1/3)))>
#<alt (* x (* x -1/3))>
#<alt (+ (* x (* x (* x -1/3))) x)>
#<alt (* x (* x (* x -1/3)))>
#<alt (* x -1/3)>
#<alt (+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)>
#<alt (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))>
#<alt (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* x (* x (+ 2/15 (* (* x x) -17/315))))>
#<alt (/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))>
#<alt (- (exp (* x 2)) 1)>
#<alt (* x 2)>
#<alt (+ 1 (exp (* x 2)))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (* x x))>
#<alt (* x (+ 2/15 (* (* x x) -17/315)))>
#<alt (exp (* x 2))>
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 (* -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>
#<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 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 (* -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) (- (* (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 (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 3) (- (* (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))) (+ 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))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 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 (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 4/3 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 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 (* -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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 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 (exp (* 2 x))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
1.0ms
x
@-inf
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
0.0ms
x
@inf
(+ (* x (* x (* x -1/3))) x)
0.0ms
x
@-inf
(* x (* x (* x -1/3)))
0.0ms
x
@inf
(+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)

rewrite442.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
2748×*-lowering-*.f32
2748×*-lowering-*.f64
2632×fma-lowering-fma.f32
2632×fma-lowering-fma.f64
2442×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029154
1189137
21707135
08242135
Stop Event
1×iter limit
1×node limit
Counts
19 → 587
Calls
Call 1
Inputs
(* x (+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))))
(+ (+ 1 (* x (* x -1/3))) (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))))
(+ 1 (* x (* x -1/3)))
(* x (* x -1/3))
(+ (* x (* x (* x -1/3))) x)
(* x (* x (* x -1/3)))
(* x -1/3)
(+ (* (+ -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)))
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))
(* x (* x (+ 2/15 (* (* x x) -17/315))))
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(- (exp (* x 2)) 1)
(* x 2)
(+ 1 (exp (* x 2)))
(* (* x x) -17/315)
(* (* x x) (* x x))
(* x (+ 2/15 (* (* x x) -17/315)))
(exp (* x 2))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) x))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(fma.f64 x (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))) (*.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) x) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (neg.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))))
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(/.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 4 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 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 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 4 binary64))))) #s(literal -1 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 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 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) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(*.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)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(+.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2/15 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 x #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 2/15 binary64) x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -4913/31255875 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) x) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/99225 binary64))) x) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -4913/31255875 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) x)) (neg.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))))
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(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x)
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))

simplify504.0ms (5%)

Algorithm
1×egg-herbie
Rules
3912×*-lowering-*.f32
3912×*-lowering-*.f64
2774×+-lowering-+.f64
2774×+-lowering-+.f32
1576×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041732
12951540
28741472
328791446
084351446
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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))))
(* -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
(+ 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))
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(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
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(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (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))
(* -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) (- (* (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))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 3) (- (* (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))) (+ 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))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 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))
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 (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(- (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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))
(* -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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 2/15 x)
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 3))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 3))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 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 (*.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 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.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 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.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 (* (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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (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 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (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 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 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 (* -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)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (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)))
(* -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 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 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 (*.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 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.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 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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 x (*.f64 x x)))
(* -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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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))))))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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 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 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x 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)))))
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 (*.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 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x #s(literal 2/3 binary64))))))))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.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 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 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))))
(* -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))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+.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)))

eval131.0ms (1.3%)

Compiler

Compiled 30583 to 2126 computations (93% saved)

prune78.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New8861887
Fresh000
Picked044
Done033
Total8868894
Accuracy
100.0%
Counts
894 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓97.8%
(+.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 x (*.f64 x x))) x)
✓97.5%
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
▶48.6%
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
✓97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
✓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)
✓97.0%
x
Compiler

Compiled 159 to 74 computations (53.5% saved)

simplify226.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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 x (*.f64 x x)))
✓cost-diff0
(+.f64 x (*.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 x (*.f64 x x))))
✓cost-diff0
(*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x))
✓cost-diff2944
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
Rules
4786×*-lowering-*.f32
4786×*-lowering-*.f64
2180×+-lowering-+.f64
2180×+-lowering-+.f32
1532×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018234
153146
2153142
3637142
44937142
08784142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (+ 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 (- (* (+ -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 (* (+ -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)))
(+ -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 x)
-17/315
(* x (* x x))
(- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(/ 1 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x))
1
Outputs
(* (* (+ 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 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)))
(*.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))))))))))
(* (+ 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))
(*.f64 (*.f64 x (*.f64 x (-.f64 (*.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)))))))) #s(literal 1 binary64)))) (+.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))))))))))
(+ x (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))))
(*.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))))))))))
x
(* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))
(*.f64 x (*.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)))))))))
(+ -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 x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(*.f64 x (-.f64 (*.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)))))))) #s(literal 1 binary64)))
(/ 1 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.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)))))))) #s(literal 1 binary64))))
1
#s(literal 1 binary64)

localize91.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
✓accuracy99.8%
(*.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 x (*.f64 x x)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy50.8%
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
Results
51.0ms256×0valid
Compiler

Compiled 254 to 19 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 15.0ms (45.8% of total)
...c/correct-round.rkt:119:19: 10.0ms (30.5% of total)
ival-add: 4.0ms (12.2% of total)
ival-div: 2.0ms (6.1% of total)
ival-sub: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (* (* (+ 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 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)))>
#<alt (* (+ 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))>
#<alt (+ x (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))))>
#<alt (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))>
#<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 (* -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 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (pow x 4)) 1))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/9 (* -4/45 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45)))) 1))>
#<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 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 (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 3) (- (* (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))) (+ 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))))))>
#<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

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (+ 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))
0.0ms
x
@inf
(* (+ 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))
0.0ms
x
@-inf
(* (+ 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))
0.0ms
x
@inf
(* (* (+ 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 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)))
0.0ms
x
@0
(* (* (+ 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 (- (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)))

rewrite415.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4330×*-lowering-*.f32
4330×*-lowering-*.f64
2850×/-lowering-/.f32
2850×/-lowering-/.f64
2610×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018164
111070
294869
0852569
Stop Event
1×iter limit
1×node limit
Counts
6 → 445
Calls
Call 1
Inputs
(* (* (+ 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 (- (* (+ -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 (* (+ -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) -17/315)
(* x (* x (+ 2/15 (* (* x x) -17/315))))
Outputs
(+.f64 x (*.f64 x (*.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 #s(literal 1 binary64) (*.f64 x (*.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 (*.f64 x (*.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))))))) x)
(+.f64 (+.f64 x (*.f64 x (*.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 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.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))))))) x)) (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))))
(+.f64 (+.f64 x (*.f64 x (*.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 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.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))))))) x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.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))))))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.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 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 (*.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 (fma.f64 x (*.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)))))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.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)))))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.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 x x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.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))))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.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 x x) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (*.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 x)) x (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.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)))))) x) x (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.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)))))))) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.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))))))) x)) (*.f64 (*.f64 x (*.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 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 binary64) (-.f64 (*.f64 x (*.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))))))) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (/.f64 #s(literal 1 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 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.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 x x) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 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 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 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x #s(literal 2/15 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) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x))
(+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) (*.f64 (*.f64 x #s(literal 2/15 binary64)) x))
(+.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -289/99225 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -17/315 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) #s(literal -4/225 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))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 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 x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) (*.f64 (*.f64 x #s(literal 2/15 binary64)) x)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x)) (*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 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 x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 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 x) #s(literal 2/15 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) (*.f64 (*.f64 x #s(literal 2/15 binary64)) x)) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x))) (-.f64 (*.f64 (*.f64 x #s(literal 2/15 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (+.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 (+.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 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (+.f64 (*.f64 (*.f64 x 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 1 binary64) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))

simplify236.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2184×*-lowering-*.f32
2184×*-lowering-*.f64
1996×+-lowering-+.f64
1996×+-lowering-+.f32
1712×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
096792
1264700
2744676
32417673
46408670
08019670
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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))))
(* -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 (pow x 2))
(* (pow x 2) (- (* 1/9 (pow x 4)) 1))
(* (pow x 2) (- (* (pow x 4) (+ 1/9 (* -4/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45)))) 1))
(* 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))))))
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))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 3) (- (* (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))) (+ 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))))))
(* -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 #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 (*.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))))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (pow x 4)) 1))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64))))
(* (pow x 2) (- (* (pow x 4) (+ 1/9 (* -4/45 (pow x 2)))) 1))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))))))
(* (pow x 2) (- (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45)))) 1))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x 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) (- 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 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) (- (+ 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) (*.f64 (*.f64 x x) (*.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) (- 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 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) (- (+ 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) (*.f64 (*.f64 x x) (*.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 (*.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))))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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 x x)))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* -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 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 #s(literal -2/15 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))

eval166.0ms (1.7%)

Compiler

Compiled 80500 to 2154 computations (97.3% saved)

prune98.0ms (1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New7630763
Fresh000
Picked011
Done077
Total7638771
Accuracy
100.0%
Counts
771 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓97.8%
(+.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 x (*.f64 x x))) x)
✓97.5%
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓48.6%
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
✓97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
✓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)
✓97.0%
x
Compiler

Compiled 371 to 136 computations (63.3% saved)

regimes8.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) 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 #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 (*.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 x (*.f64 x x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
(tanh.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) (+.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:

4.0ms
x
3.0ms
(/.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)

regimes4.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) 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 #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 (*.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 x (*.f64 x x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x (*.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 x (*.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 x (*.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (-.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 x (*.f64 x x))) x)))
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 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%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 #s(literal -1/3 binary64) (*.f64 x x))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.4%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
97.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01936
13536
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 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
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 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
x

soundness1.3s (13%)

Rules
4462×/-lowering-/.f32
4462×/-lowering-/.f64
4256×*-lowering-*.f32
4256×*-lowering-*.f64
3706×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318113
10340913
11356713
12368413
0368413
01960
112257
2126957
0858457
023140
1173121
21608118
09224118
0149970
1430889
21170859
33276859
45091859
56727859
08081859
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 92 to 57 computations (38% saved)

preprocess40.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 120 to 64 computations (46.7% saved)

end0.0ms (0%)

Profiling

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