Hyperbolic tangent

Time bar (total: 10.7s)

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)

sample3.7s (34.8%)

Results
2.3s7812×1valid
866.0ms7811×0unsamplable
45.0ms444×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-exp: 1.4s (61.3% of total)
ival-div: 210.0ms (9.5% of total)
ival-sub: 179.0ms (8.1% of total)
backward-pass: 177.0ms (8% of total)
ival-add: 141.0ms (6.4% of total)
ival-neg: 129.0ms (5.9% of total)
const: 16.0ms (0.7% of total)
Bogosity

preprocess202.0ms (1.9%)

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)

explain228.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2500-1(0.006200548349540145)(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
40-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-x
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
180.0ms488×1valid
2.0ms24×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-exp: 64.0ms (52.5% of total)
backward-pass: 33.0ms (27.1% of total)
ival-div: 7.0ms (5.7% of total)
ival-sub: 7.0ms (5.7% of total)
ival-add: 5.0ms (4.1% of total)
ival-neg: 5.0ms (4.1% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 13 computations (27.8% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶10.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify97.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 10 (0.0ms)

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

localize248.0ms (2.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy98.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy10.4%
(-.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)))))
✓accuracy10.4%
(-.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
198.0ms246×1valid
2.0ms10×0valid
Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-exp: 62.0ms (54.5% of total)
backward-pass: 15.0ms (13.2% of total)
ival-div: 13.0ms (11.4% of total)
ival-add: 8.0ms (7% of total)
ival-mult: 7.0ms (6.2% of total)
ival-sub: 5.0ms (4.4% of total)
ival-neg: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

series8.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))>
#<alt (/ 1 (+ 1 (exp (* x -2))))>
#<alt (+ 1 (exp (* x -2)))>
#<alt (exp (* x -2))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (/ 1 (+ 1 (exp (* x 2))))>
#<alt (+ 1 (exp (* x 2)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 x))>
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))>
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt (/ 1 (+ 1 (exp (* 2 x))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
#<alt (+ 1 (exp (* 2 x)))>
Calls

30 calls:

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

rewrite390.0ms (3.6%)

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
01956
112253
2126953
0858553
Stop Event
1×iter limit
1×node limit
Counts
10 → 453
Calls
Call 1
Inputs
(- (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (+ 1 (exp (* x 2)))))
(/ 1 (+ 1 (exp (* x -2))))
(+ 1 (exp (* x -2)))
(exp (* x -2))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(/ 1 (+ 1 (exp (* x 2))))
(+ 1 (exp (* x 2)))
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 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 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))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(*.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.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 4 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 4 binary64))))) (pow.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) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 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) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal 4 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 (/.f64 (exp.f64 (*.f64 x #s(literal 4 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) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (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 (exp.f64 (*.f64 x #s(literal 4 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(/.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 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 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 4 binary64))))))
(/.f64 (+.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) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 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 4 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 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 6 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.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) (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 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (-.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 6 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 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 4 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.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)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 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 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 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.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 #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)))) #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 2 binary64))) (expm1.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))))))

simplify275.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2530×*-lowering-*.f32
2530×*-lowering-*.f64
2398×sum4-define
1950×+-lowering-+.f64
1950×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0136884
1391814
21024784
32766784
44454784
56085784
08037784
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
1/2
(+ 1/2 (* 1/2 x))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
(/ 1 (+ 1 (exp (* 2 x))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
(+ 1 (exp (* 2 x)))
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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (exp.f64 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) (/.f64 #s(literal -1 binary64) (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 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 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))))

eval113.0ms (1.1%)

Compiler

Compiled 16204 to 1670 computations (89.7% saved)

prune75.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6056611
Fresh000
Picked202
Done000
Total6076613
Accuracy
100.0%
Counts
613 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
▶98.1%
(*.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))))))))
▶98.1%
(*.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)))))))
▶97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶100.0%
(tanh.f64 x)
▶97.4%
x
Compiler

Compiled 160 to 108 computations (32.5% saved)

simplify343.0ms (3.2%)

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)

localize197.0ms (1.8%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.6%
(*.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)))
✓accuracy99.6%
(*.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))))
✓accuracy99.6%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(tanh.f64 x)
Results
158.0ms256×0valid
Compiler

Compiled 195 to 24 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
...c/correct-round.rkt:119:19: 35.0ms (55.7% of total)
ival-mult: 18.0ms (28.6% of total)
ival-add: 7.0ms (11.1% of total)
ival-tanh: 2.0ms (3.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts
16 → 192
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)))>
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))>
Calls

48 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
(tanh x)
2.0ms
x
@0
(* x (+ 1 (* -1/3 (* x 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))))))

rewrite498.0ms (4.7%)

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
023129
1173112
21608109
09224109
Stop Event
1×iter limit
1×node limit
Counts
16 → 442
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)))
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))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 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 (*.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 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.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 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))))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(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 #s(literal 2/15 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(fma.f64 #s(literal -17/315 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/315 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.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 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.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 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 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) (*.f64 x 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 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x)) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.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 (neg.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.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)))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) (*.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)))))) (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 (*.f64 x x) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.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)))) (*.f64 x 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))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(/.f64 (+.f64 (*.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 #s(literal 8/3375 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.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 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.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)

simplify186.0ms (1.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0941555
12561322
27401288
324671260
080231260
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.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 (*.f64 x x) (*.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 (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 (*.f64 x x) (*.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 (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 (*.f64 x x) (*.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)))))
(* (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 (*.f64 x x) (*.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)))))
(* (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 (*.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 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.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))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 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 (*.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))))
(* -1/3 (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 (*.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)))))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(*.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))) (+ 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)))
(* -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))) (+ 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)))
(* 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 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)))))

eval119.0ms (1.1%)

Compiler

Compiled 21413 to 1845 computations (91.4% saved)

prune166.0ms (1.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New7131714
Fresh011
Picked055
Done000
Total7137720
Accuracy
100.0%
Counts
720 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
▶98.1%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
✓98.1%
(*.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))))))))
✓98.1%
(*.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)))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 100 to 66 computations (34% saved)

simplify237.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
✓cost-diff256
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
Rules
3564×*-lowering-*.f32
3564×*-lowering-*.f64
2046×fma-lowering-fma.f32
2046×fma-lowering-fma.f64
1742×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032162
196149
2252144
3723141
42281141
57448141
08269141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1)))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1))
(* x (* x -1/3))
(* x -1/3)
-1/3
(+ (* (* x x) (* (* x x) 2/15)) 1)
(* (* x x) (* (* x x) 2/15))
(* x x)
(* (* x x) 2/15)
2/15
1
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
(/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))
(* 2 (sinh x))
2
(sinh x)
x
(+ (exp (* x 3)) (exp (* (- 0 x) 3)))
(exp (* x 3))
(* x 3)
3
(exp (* (- 0 x) 3))
(* (- 0 x) 3)
(- 0 x)
0
(+ (exp (* x 2)) (- (exp (* x -2)) 1))
(exp (* x 2))
(* x 2)
(- (exp (* x -2)) 1)
(* x -2)
-2
Outputs
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
x
(+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (* x -1/3))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* (* x x) (* (* x x) 2/15)) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))
(* (* x x) (* (* x x) 2/15))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* x x)
(*.f64 x x)
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
1
#s(literal 1 binary64)
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(* 2 (sinh x))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
2
#s(literal 2 binary64)
(sinh x)
(sinh.f64 x)
x
(+ (exp (* x 3)) (exp (* (- 0 x) 3)))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(exp (* x 3))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(exp (* (- 0 x) 3))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(* (- 0 x) 3)
(*.f64 x #s(literal -3 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(+ (exp (* x 2)) (- (exp (* x -2)) 1))
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.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))
(- (exp (* x -2)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize318.0ms (3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
✓accuracy98.5%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
✓accuracy98.4%
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
Results
258.0ms246×1valid
4.0ms10×0valid
Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 47.0ms (24% of total)
compiled-spec: 41.0ms (20.9% of total)
ival-exp: 38.0ms (19.4% of total)
backward-pass: 27.0ms (13.8% of total)
...c/correct-round.rkt:119:19: 18.0ms (9.2% of total)
ival-add: 12.0ms (6.1% of total)
ival-sub: 6.0ms (3.1% of total)
ival-div: 3.0ms (1.5% of total)
ival-sinh: 3.0ms (1.5% of total)
const: 2.0ms (1% of total)

series13.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1))>
#<alt (* x (+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1)))>
#<alt (* x (* x -1/3))>
#<alt (* x -1/3)>
#<alt (* (- 0 x) 3)>
#<alt (* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))>
#<alt (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))>
#<alt (* 2 (sinh x))>
#<alt (* (* x x) 2/15)>
#<alt (* (* x x) (* (* x x) 2/15))>
#<alt (exp (* (- 0 x) 3))>
#<alt (exp (* x 3))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -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 (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt x>
#<alt (* x (+ 1 (* -13/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 242/15 (pow x 2)) 13/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 242/15 (* -18581/315 (pow x 2)))) 13/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 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) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<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 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt 1>
#<alt (+ 1 (* -3 x))>
#<alt (+ 1 (* x (- (* 9/2 x) 3)))>
#<alt (+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt (exp (* -3 x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 9/2 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
#<alt (exp (* 3 x))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
2.0ms
x
@inf
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
2.0ms
x
@-inf
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
1.0ms
x
@inf
(/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))
1.0ms
x
@-inf
(/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))

rewrite372.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3136×/-lowering-/.f32
3136×/-lowering-/.f64
3100×*-lowering-*.f32
3100×*-lowering-*.f64
2004×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032103
117394
2161885
0851985
Stop Event
1×iter limit
1×node limit
Counts
12 → 547
Calls
Call 1
Inputs
(+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1))
(* x (+ (* x (* x -1/3)) (+ (* (* x x) (* (* x x) 2/15)) 1)))
(* x (* x -1/3))
(* x -1/3)
(* (- 0 x) 3)
(* (/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3)))) (+ (exp (* x 2)) (- (exp (* x -2)) 1)))
(/ (* 2 (sinh x)) (+ (exp (* x 3)) (exp (* (- 0 x) 3))))
(* 2 (sinh x))
(* (* x x) 2/15)
(* (* x x) (* (* x x) 2/15))
(exp (* (- 0 x) 3))
(exp (* x 3))
Outputs
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x 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)))))
(+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (-.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))) (-.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))) (-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 8/3375 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4/225 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4/225 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (-.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))))))
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(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) x)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) x)
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) x))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (exp.f64 (*.f64 x #s(literal 3/2 binary64))))

simplify207.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2708×*-lowering-*.f32
2708×*-lowering-*.f64
2316×+-lowering-+.f64
2316×+-lowering-+.f32
1972×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01251168
13611050
29891033
330171025
464971021
081241021
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 x)
(* -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)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -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))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
x
(* x (+ 1 (* -13/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 242/15 (pow x 2)) 13/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 242/15 (* -18581/315 (pow x 2)))) 13/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 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) (/ 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)))
(* 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 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 9/2 x) 3)))
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
(exp (* -3 x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 9/2 x))))
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
(exp (* 3 x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.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 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (+.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))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
x
(* x (+ 1 (* -13/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -13/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 242/15 (pow x 2)) 13/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -13/3 binary64) (*.f64 (*.f64 x x) #s(literal 242/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 242/15 (* -18581/315 (pow x 2)))) 13/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -13/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 242/15 binary64) (*.f64 (*.f64 x x) #s(literal -18581/315 binary64))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp (* -3 x)) (exp (* 3 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 1 (* x (- (* 9/2 x) 3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9/2 binary64)))))
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x (+.f64 #s(literal 9/2 binary64) (*.f64 x #s(literal -9/2 binary64)))))))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
(exp (* -3 x))
(exp.f64 (*.f64 x #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 (* 9/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9/2 binary64)))))
(+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 9/2 binary64) (*.f64 x #s(literal 9/2 binary64)))))))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(exp (* 3 x))
(exp.f64 (*.f64 x #s(literal 3 binary64)))

eval90.0ms (0.8%)

Compiler

Compiled 29664 to 2130 computations (92.8% saved)

prune66.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New6901691
Fresh000
Picked112
Done055
Total6917698
Accuracy
100.0%
Counts
698 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.8%
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
✓98.1%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
✓98.1%
(*.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))))))))
✓98.1%
(*.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)))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 95 to 62 computations (34.7% saved)

simplify250.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
✓cost-diff256
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
Rules
3058×*-lowering-*.f32
3058×*-lowering-*.f64
2954×/-lowering-/.f32
2954×/-lowering-/.f64
1544×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01874
15467
214867
349567
4196567
5529167
0831467
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))
(+ (exp (* x 2)) (- (exp (* x -2)) 1))
(exp (* x 2))
(* x 2)
x
2
(- (exp (* x -2)) 1)
(* x -2)
-2
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
(* 2 (cosh (* x 3)))
(cosh (* x 3))
(* x 3)
3
(* 2 (sinh x))
(sinh x)
Outputs
(/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x)))
(+ (exp (* x 2)) (- (exp (* x -2)) 1))
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.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)
(- (exp (* x -2)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
(/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x))
(* 2 (cosh (* x 3)))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(cosh (* x 3))
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* 2 (sinh x))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh x)
(sinh.f64 x)

localize256.0ms (2.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
✓accuracy100.0%
(cosh.f64 (*.f64 x #s(literal 3 binary64)))
✓accuracy98.7%
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
✓accuracy97.9%
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
Results
212.0ms246×1valid
2.0ms10×0valid
Compiler

Compiled 80 to 17 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
compiled-spec: 30.0ms (20.5% of total)
ival-exp: 27.0ms (18.4% of total)
ival-div: 25.0ms (17.1% of total)
ival-cosh: 23.0ms (15.7% of total)
ival-mult: 19.0ms (13% of total)
backward-pass: 13.0ms (8.9% of total)
ival-sub: 3.0ms (2% of total)
ival-add: 3.0ms (2% of total)
const: 2.0ms (1.4% of total)
ival-sinh: 2.0ms (1.4% of total)

series6.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))>
#<alt (/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))>
#<alt (+ (exp (* x 2)) (- (exp (* x -2)) 1))>
#<alt (exp (* x 2))>
#<alt (cosh (* x 3))>
Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 13/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 13/3 (* 119/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 13/3 (* (pow x 2) (+ 119/45 (* 506/945 (pow x 2))))))) x)>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))>
#<alt (/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp 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) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt 1>
#<alt (+ 1 (* 4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<alt (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)>
#<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))>
#<alt 1>
#<alt (+ 1 (* 9/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
#<alt (* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
1.0ms
x
@-inf
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
1.0ms
x
@inf
(/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))
1.0ms
x
@0
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
1.0ms
x
@-inf
(/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))

rewrite429.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
5096×*-lowering-*.f32
5096×*-lowering-*.f64
4676×/-lowering-/.f32
4676×/-lowering-/.f64
1384×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01845
19238
272231
0853931
Stop Event
1×iter limit
1×node limit
Counts
5 → 509
Calls
Call 1
Inputs
(/ (* 2 (cosh (* x 3))) (* 2 (sinh x)))
(/ (+ (exp (* x 2)) (- (exp (* x -2)) 1)) (/ (* 2 (cosh (* x 3))) (* 2 (sinh x))))
(+ (exp (* x 2)) (- (exp (* x -2)) 1))
(exp (* x 2))
(cosh (* x 3))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(neg.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x))))
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (sinh.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(pow.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (sinh.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (sinh.f64 x)))
(*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
(*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(*.f64 (/.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (sinh.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
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(cosh.f64 (*.f64 x #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))

simplify274.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3006×+-lowering-+.f64
3006×+-lowering-+.f32
2232×*-lowering-*.f32
2232×*-lowering-*.f64
2048×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0102783
1285675
2844648
32472648
44602648
08279648
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 13/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 13/3 (* 119/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 13/3 (* (pow x 2) (+ 119/45 (* 506/945 (pow x 2))))))) x)
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp 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) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
1
(+ 1 (* 4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
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))
1
(+ 1 (* 9/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 13/3 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 13/3 binary64)))) x)
(/ (+ 1 (* (pow x 2) (+ 13/3 (* 119/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 13/3 binary64) (*.f64 x (*.f64 x #s(literal 119/45 binary64))))))) x)
(/ (+ 1 (* (pow x 2) (+ 13/3 (* (pow x 2) (+ 119/45 (* 506/945 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 13/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 119/45 binary64) (*.f64 x (*.f64 x #s(literal 506/945 binary64)))))))) x)
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))) (- (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.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 (*.f64 x x) #s(literal -1/3 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/ (* (- (exp x) (/ 1 (exp x))) (- (+ (exp (* -2 x)) (exp (* 2 x))) 1)) (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(+ 1 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))
(+ 1 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 8/45 binary64))))))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(- (+ (exp (* -2 x)) (exp (* 2 x))) 1)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (expm1.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 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 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)))
1
#s(literal 1 binary64)
(+ 1 (* 9/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9/2 binary64)))
(+ 1 (* (pow x 2) (+ 9/2 (* 27/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 x x) #s(literal 27/8 binary64))))))
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 27/8 (* 81/80 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 27/8 binary64) (*.f64 x (*.f64 x #s(literal 81/80 binary64))))))))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* 3 x)) (/ 1 (exp (* 3 x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))

eval120.0ms (1.1%)

Compiler

Compiled 16909 to 1533 computations (90.9% saved)

prune75.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5681569
Fresh000
Picked101
Done066
Total5697576
Accuracy
100.0%
Counts
576 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 8/45 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
✓98.1%
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
✓98.1%
(*.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))))))))
✓98.1%
(*.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)))))))
✓97.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓100.0%
(tanh.f64 x)
✓97.4%
x
Compiler

Compiled 281 to 144 computations (48.8% saved)

regimes10.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(*.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) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(tanh.f64 x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 8/45 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
Outputs
(tanh.f64 x)
Calls

2 calls:

6.0ms
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)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.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) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
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:

2.0ms
x
Results
AccuracySegmentsBranch
98.1%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
97.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
6×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
12727
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 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 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

soundness1.0s (9.6%)

Rules
4462×/-lowering-/.f32
4462×/-lowering-/.f64
3706×*-lowering-*.f32
3706×*-lowering-*.f64
2530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136884
1391814
21024784
32766784
44454784
56085784
08037784
01956
112253
2126953
0858553
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318113
10340913
11356713
12368413
0368413
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 62 to 39 computations (37.1% saved)

preprocess39.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 96 to 52 computations (45.8% saved)

end0.0ms (0%)

Profiling

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