exp2 (problem 3.3.7)
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 3.4s | 5 614× | 2 | valid |
| 747.0ms | 2 432× | 1 | valid |
| 16.0ms | 210× | 0 | valid |
ival-exp: 2.4s (64.5% of total)adjust: 736.0ms (19.8% of total)ival-sub: 262.0ms (7.1% of total)ival-add: 184.0ms (5% of total)ival-fabs: 68.0ms (1.8% of total)ival-neg: 35.0ms (0.9% of total)ival-<=: 23.0ms (0.6% of total)exact: 9.0ms (0.2% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 1 | (2.112811324497808e-162) | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 127 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 1 |
| - | 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 1 |
| - | 1 | 0 | 128 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 139.0ms | 356× | 2 | valid |
| 22.0ms | 150× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 54 to 25 computations (53.7% saved)
ival-exp: 103.0ms (76.2% of total)adjust: 16.0ms (11.8% of total)ival-sub: 7.0ms (5.2% of total)ival-add: 6.0ms (4.4% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 33 | 17 |
| 2 | 78 | 17 |
| 3 | 291 | 17 |
| 4 | 1574 | 13 |
| 5 | 7555 | 13 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 25 | 8 |
| 2 | 57 | 8 |
| 3 | 181 | 8 |
| 4 | 800 | 6 |
| 5 | 7279 | 6 |
| 0 | 8679 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(abs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
x |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (exp x) 2) |
(exp x) |
(exp (neg x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(exp (* -1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x)) |
| 1.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 163 |
| 1 | 208 | 162 |
| 2 | 664 | 156 |
| 3 | 2594 | 156 |
| 4 | 7057 | 156 |
| 0 | 8435 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
x |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (exp x) 2) |
(exp x) |
(exp (neg x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp x) |
(exp.f64 x) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 52 | 21 |
| 2 | 423 | 19 |
| 3 | 7689 | 19 |
| 0 | 8101 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
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(neg.f64 x) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(log.f64 (exp.f64 (neg.f64 x))) |
Compiled 8 208 to 1 033 computations (87.4% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 7 | 289 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 282 | 8 | 290 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| 54.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) | |
| ▶ | 54.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 54.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ▶ | 99.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
| ▶ | 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
| ▶ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 296 to 173 computations (41.6% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 3) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(pow x 4) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) x 3 (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* 1/360 (* x x)) 1/12)) |
| 4.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) x 3 (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* 1/360 (* x x)) 1/12)) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) x 3 (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* 1/360 (* x x)) 1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 565 |
| 1 | 443 | 549 |
| 2 | 1440 | 546 |
| 3 | 6051 | 546 |
| 0 | 8490 | 516 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 3) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(pow x 4) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x))) |
(* 1/20160 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/20160 (pow x 2)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(+ (exp x) (/ 1 (exp x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/360 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))) |
(* 1/360 (pow x 2)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 195 |
| 0 | 50 | 195 |
| 1 | 221 | 187 |
| 2 | 1878 | 187 |
| 0 | 9265 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 x x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
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(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) x #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x)) |
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64))) |
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) |
Compiled 36 505 to 4 137 computations (88.7% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 081 | 7 | 1 088 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 084 | 12 | 1 096 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| 54.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) | |
| ▶ | 54.9% | (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ✓ | 54.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| 54.6% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 54.4% | (-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ▶ | 53.7% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 54.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ▶ | 99.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ▶ | 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 428 to 237 computations (44.6% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
(exp.f64 x) |
#s(literal -3 binary64) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(pow x 4) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -6 x))) |
(* (pow x 2) (+ 3 (* x (- (* 13/4 x) 6)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 13/4 (* -3/2 x))) 6)))) |
1 |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 9/2 x) 3))) |
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
-1 |
(- (* 3 x) 1) |
(- (* x (+ 3 (* -3/2 x))) 1) |
(- (* x (+ 3 (* x (- (* -3/2 x) 3/2)))) 1) |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
3 |
(+ 3 (* -6 x)) |
(+ 3 (* x (- (* 3 x) 6))) |
(+ 3 (* x (- (* x (+ 3 (* -1 x))) 6))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* -1/3 (pow x 2)) 2))) |
(+ 2 (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2))) |
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) |
(/ 1 (pow (exp x) 3)) |
(exp x) |
(pow (- (exp x) 2) 3) |
(- (exp x) 2) |
(+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2)) |
(exp (neg x)) |
(- (+ 2 (exp (neg x))) (exp x)) |
(pow (- (exp x) 2) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2))) |
(+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2)) |
(exp (* -1 x)) |
(- (+ 2 (exp (* -1 x))) (exp x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) x 1/20160 1/360 1/12 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (+ (* 1/360 (* x x)) 1/12) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (exp x) -3 (pow (- (exp x) 2) 3) (- (exp x) 2) 3 (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2)) (exp (neg x)) (neg x) (- (exp (neg x)) (- (exp x) 2)) (pow (- (exp x) 2) 2)) |
| 5.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) x 1/20160 1/360 1/12 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (+ (* 1/360 (* x x)) 1/12) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (exp x) -3 (pow (- (exp x) 2) 3) (- (exp x) 2) 3 (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2)) (exp (neg x)) (neg x) (- (exp (neg x)) (- (exp x) 2)) (pow (- (exp x) 2) 2)) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) x 1/20160 1/360 1/12 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) 2 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (+ (* 1/360 (* x x)) 1/12) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (exp x) -3 (pow (- (exp x) 2) 3) (- (exp x) 2) 3 (+ (* (exp (neg x)) (- (exp (neg x)) (- (exp x) 2))) (pow (- (exp x) 2) 2)) (exp (neg x)) (neg x) (- (exp (neg x)) (- (exp x) 2)) (pow (- (exp x) 2) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1028 |
| 1 | 743 | 1022 |
| 2 | 2173 | 995 |
| 3 | 6707 | 995 |
| 0 | 8216 | 937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(pow x 4) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -6 x))) |
(* (pow x 2) (+ 3 (* x (- (* 13/4 x) 6)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 13/4 (* -3/2 x))) 6)))) |
1 |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 9/2 x) 3))) |
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
-1 |
(- (* 3 x) 1) |
(- (* x (+ 3 (* -3/2 x))) 1) |
(- (* x (+ 3 (* x (- (* -3/2 x) 3/2)))) 1) |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
3 |
(+ 3 (* -6 x)) |
(+ 3 (* x (- (* 3 x) 6))) |
(+ 3 (* x (- (* x (+ 3 (* -1 x))) 6))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* -1/3 (pow x 2)) 2))) |
(+ 2 (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 7)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 5)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/360 (pow x 4)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/360 (pow x 2)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2))) |
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) |
(/ 1 (pow (exp x) 3)) |
(exp x) |
(pow (- (exp x) 2) 3) |
(- (exp x) 2) |
(+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2)) |
(exp (neg x)) |
(- (+ 2 (exp (neg x))) (exp x)) |
(pow (- (exp x) 2) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2))) |
(+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2)) |
(exp (* -1 x)) |
(- (+ 2 (exp (* -1 x))) (exp x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -6 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (- (* 13/4 x) 6)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/4 binary64) x) #s(literal 6 binary64)) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 13/4 (* -3/2 x))) 6)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 13/4 binary64)) x) #s(literal 6 binary64)) x #s(literal 3 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 x)) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 9/2 x) 3))) |
(fma.f64 (-.f64 (*.f64 #s(literal 9/2 binary64) x) #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -9/2 binary64) x #s(literal 9/2 binary64)) x) #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 3 x) 1) |
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(- (* x (+ 3 (* -3/2 x))) 1) |
(-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(- (* x (+ 3 (* x (- (* -3/2 x) 3/2)))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) x) #s(literal 3/2 binary64)) x #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -6 x)) |
(fma.f64 #s(literal -6 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 3 x) 6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* x (+ 3 (* -1 x))) 6))) |
(fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) x) #s(literal 6 binary64)) x #s(literal 3 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* -1/3 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x))) |
(* 1/20160 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* 1/20160 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/20160 (pow x 2)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(+ (exp x) (/ 1 (exp x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/360 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/360 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) |
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x)))) |
(* 1/360 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64)) |
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/360 (pow x 2)) |
(*.f64 #s(literal 1/360 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) |
(+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) |
(/ 1 (pow (exp x) 3)) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
(exp x) |
(exp.f64 x) |
(pow (- (exp x) 2) 3) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (exp x))) (pow (- (exp x) 2) 2)) |
(fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(- (+ 2 (exp (neg x))) (exp x)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) |
(pow (- (exp x) 2) 2) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)))) |
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (exp x))) (pow (- (exp x) 2) 2)) |
(fma.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(- (+ 2 (exp (* -1 x))) (exp x)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 325 |
| 0 | 73 | 319 |
| 1 | 309 | 301 |
| 2 | 2500 | 275 |
| 0 | 8926 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
(exp.f64 x) |
#s(literal -3 binary64) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) x)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) x (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)) |
(fma.f64 x x (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x))) |
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#s(literal 3 binary64) |
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(log.f64 (exp.f64 (neg.f64 x))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fabs.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fabs.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fabs.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fabs.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
Compiled 70 727 to 6 918 computations (90.2% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 798 | 4 | 1 802 |
| Fresh | 0 | 4 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 801 | 13 | 1 814 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
| ▶ | 54.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
| 54.9% | (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -3 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 54.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ▶ | 54.6% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 54.4% | (-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | 53.7% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 54.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 99.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) | |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 468 to 267 computations (42.9% saved)
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
x |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) |
(exp.f64 x) |
#s(literal -1/2 binary64) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
x |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* -8 x))) |
(* (pow x 2) (+ 4 (* x (- (* 13/3 x) 8)))) |
(* (pow x 2) (+ 4 (* x (- (* x (+ 13/3 (* -2 x))) 8)))) |
-2 |
(- (* 6 x) 2) |
(- (* x (+ 6 (* -4 x))) 2) |
(- (* x (+ 6 (* x (- (* -1 x) 4)))) 2) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(- (* 2 x) 2) |
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2) |
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(- (* x (+ 6 (* -8 x))) 2) |
(- (* x (+ 6 (* x (- (* 7 x) 8)))) 2) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
4 |
(+ 4 (* -8 x)) |
(+ 4 (* x (- (* 4 x) 8))) |
(+ 4 (* x (- (* x (+ 4 (* -4/3 x))) 8))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(sqrt (/ 1 (exp x))) |
(exp x) |
(- (exp x) 2) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (neg x)))) 2)) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) |
(pow (- (exp x) 2) 2) |
(- (exp x) (+ 2 (exp (neg x)))) |
(exp (neg x)) |
(/ (- (exp x) (+ 2 (exp (neg x)))) (pow (exp x) 2)) |
(/ 1 (pow (exp x) 2)) |
(pow (- (exp x) (+ 2 (exp (neg x)))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (* -1 x)))) 2)) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) |
(- (exp x) (+ 2 (exp (* -1 x)))) |
(exp (* -1 x)) |
(/ (- (exp x) (+ 2 (exp (* -1 x)))) (pow (exp x) 2)) |
(pow (- (exp x) (+ 2 (exp (* -1 x)))) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) 2 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1/2 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) -1/2 (- (exp x) 2) (/ (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x))) (exp (neg x)) (neg x) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2)) (pow (exp x) -2) -2 (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) |
| 6.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) 2 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1/2 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) -1/2 (- (exp x) 2) (/ (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x))) (exp (neg x)) (neg x) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2)) (pow (exp x) -2) -2 (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) 2 (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1/2 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) -1/2 (- (exp x) 2) (/ (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) (- (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2))) (* (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x)))) (pow (- (exp x) 2) 2) (- (- (exp x) 2) (exp (neg x))) (exp (neg x)) (neg x) (* (- (- (exp x) 2) (exp (neg x))) (pow (exp x) -2)) (pow (exp x) -2) -2 (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1049 |
| 1 | 804 | 1028 |
| 2 | 2371 | 1009 |
| 3 | 7470 | 1009 |
| 0 | 8460 | 934 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
x |
2 |
(+ 2 (pow x 2)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* -8 x))) |
(* (pow x 2) (+ 4 (* x (- (* 13/3 x) 8)))) |
(* (pow x 2) (+ 4 (* x (- (* x (+ 13/3 (* -2 x))) 8)))) |
-2 |
(- (* 6 x) 2) |
(- (* x (+ 6 (* -4 x))) 2) |
(- (* x (+ 6 (* x (- (* -1 x) 4)))) 2) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(- (* 2 x) 2) |
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2) |
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1 x) |
(- (* x (+ 6 (* -8 x))) 2) |
(- (* x (+ 6 (* x (- (* 7 x) 8)))) 2) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
4 |
(+ 4 (* -8 x)) |
(+ 4 (* x (- (* 4 x) 8))) |
(+ 4 (* x (- (* x (+ 4 (* -4/3 x))) 8))) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 6)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(sqrt (/ 1 (exp x))) |
(exp x) |
(- (exp x) 2) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (neg x)))) 2)) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) |
(pow (- (exp x) 2) 2) |
(- (exp x) (+ 2 (exp (neg x)))) |
(exp (neg x)) |
(/ (- (exp x) (+ 2 (exp (neg x)))) (pow (exp x) 2)) |
(/ 1 (pow (exp x) 2)) |
(pow (- (exp x) (+ 2 (exp (neg x)))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (* -1 x)))) 2)) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) |
(- (exp x) (+ 2 (exp (* -1 x)))) |
(exp (* -1 x)) |
(/ (- (exp x) (+ 2 (exp (* -1 x)))) (pow (exp x) 2)) |
(pow (- (exp x) (+ 2 (exp (* -1 x)))) 2) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(+ 2 (pow x 2)) |
(fma.f64 x x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))) |
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 1/8 x) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64))) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64))) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* -8 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64)) x) x) |
(* (pow x 2) (+ 4 (* x (- (* 13/3 x) 8)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/3 binary64) x) #s(literal 8 binary64)) x #s(literal 4 binary64)) x) x) |
(* (pow x 2) (+ 4 (* x (- (* x (+ 13/3 (* -2 x))) 8)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 13/3 binary64)) x) #s(literal 8 binary64)) x #s(literal 4 binary64)) x) x) |
-2 |
#s(literal -2 binary64) |
(- (* 6 x) 2) |
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 2 binary64)) |
(- (* x (+ 6 (* -4 x))) 2) |
(-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) |
(- (* x (+ 6 (* x (- (* -1 x) 4)))) 2) |
(-.f64 (*.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal 4 binary64)) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(- (* 2 x) 2) |
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- (* x (+ 6 (* -8 x))) 2) |
(-.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) |
(- (* x (+ 6 (* x (- (* 7 x) 8)))) 2) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7 binary64) x) #s(literal 8 binary64)) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -8 x)) |
(fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64)) |
(+ 4 (* x (- (* 4 x) 8))) |
(fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 8 binary64)) x #s(literal 4 binary64)) |
(+ 4 (* x (- (* x (+ 4 (* -4/3 x))) 8))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 4 binary64)) x) #s(literal 8 binary64)) x #s(literal 4 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/20160 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/20160 (pow x 2)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(+ (exp x) (/ 1 (exp x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(sqrt (/ 1 (exp x))) |
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) |
(exp x) |
(exp.f64 x) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (neg x)))) 2)) |
(/.f64 (fma.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) (/ (exp (neg x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(fma.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (neg x))))) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow (- (exp x) 2) 2) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(- (exp x) (+ 2 (exp (neg x)))) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(/ (- (exp x) (+ 2 (exp (neg x)))) (pow (exp x) 2)) |
(/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/ 1 (pow (exp x) 2)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 x)) |
(pow (- (exp x) (+ 2 (exp (neg x)))) 2) |
(pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/ (- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) (pow (- (exp x) (+ 2 (exp (* -1 x)))) 2)) |
(/.f64 (fma.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(- (+ (* 2 (/ 1 (pow (exp x) 2))) (+ (* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) (/ (exp (* -1 x)) (pow (exp x) 2)))) (/ 1 (exp x))) |
(fma.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))) |
(* (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (exp (* -1 x))))) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(- (exp x) (+ 2 (exp (* -1 x)))) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(/ (- (exp x) (+ 2 (exp (* -1 x)))) (pow (exp x) 2)) |
(/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow (- (exp x) (+ 2 (exp (* -1 x)))) 2) |
(pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 351 |
| 0 | 76 | 333 |
| 1 | 325 | 310 |
| 2 | 2479 | 310 |
| 0 | 8561 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
x |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) |
(fma.f64 x x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) |
(exp.f64 x) |
#s(literal -1/2 binary64) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))) |
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#s(literal -2 binary64) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (*.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)))) |
(fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(fabs.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(fabs.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(fabs.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)))) |
(fabs.f64 (*.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(fabs.f64 (*.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)))) |
(fabs.f64 (neg.f64 (pow.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
Compiled 94 773 to 7 155 computations (92.5% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 150 | 3 | 2 153 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 153 | 13 | 2 166 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| 54.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(approx (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x)))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) | |
| 54.9% | (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -3 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 54.8% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 54.6% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ✓ | 54.4% | (-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | 53.7% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ✓ | 54.9% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | 99.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 99.8% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| 99.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) | |
| ✓ | 99.2% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 794 to 292 computations (63.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -3 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(approx (* (- (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (exp (neg x)))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
2 calls:
| 6.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.9% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.9% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.8% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.8% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.6% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
2 calls:
| 4.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 99.2% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 53.7% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 159 |
| 1 | 76 | 159 |
| 2 | 182 | 159 |
| 3 | 669 | 159 |
| 4 | 2959 | 147 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 195 |
| 0 | 50 | 195 |
| 1 | 221 | 187 |
| 2 | 1878 | 187 |
| 0 | 9265 | 187 |
| 0 | 60 | 163 |
| 1 | 208 | 162 |
| 2 | 664 | 156 |
| 3 | 2594 | 156 |
| 4 | 7057 | 156 |
| 0 | 8435 | 139 |
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 52 | 21 |
| 2 | 423 | 19 |
| 3 | 7689 | 19 |
| 0 | 8101 | 19 |
| 0 | 42 | 325 |
| 0 | 73 | 319 |
| 1 | 309 | 301 |
| 2 | 2500 | 275 |
| 0 | 8926 | 267 |
| 0 | 121 | 565 |
| 1 | 443 | 549 |
| 2 | 1440 | 546 |
| 3 | 6051 | 546 |
| 0 | 8490 | 516 |
| 0 | 232 | 1028 |
| 1 | 743 | 1022 |
| 2 | 2173 | 995 |
| 3 | 6707 | 995 |
| 0 | 8216 | 937 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 402 to 217 computations (46% saved)
(abs x)
Compiled 414 to 162 computations (60.9% saved)
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