exp2 (problem 3.3.7)
Time bar (total: 10.7s)
| 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)
| 2.9s | 5 723× | 2 | valid |
| 488.0ms | 2 358× | 1 | valid |
| 11.0ms | 175× | 0 | valid |
ival-exp: 2.2s (70.8% of total)adjust: 491.0ms (15.8% of total)ival-sub: 132.0ms (4.2% of total)ival-add: 115.0ms (3.7% of total)ival-fabs: 93.0ms (3% of total)ival-neg: 33.0ms (1.1% of total)ival-<=: 31.0ms (1% of total)exact: 10.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 1 | (-1.7860165809839237e-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 | 3 | (-231.39755656265282) | 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 | 124 | 1 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 3 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 4 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 4 | 3 | 126 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 157.0ms | 352× | 2 | valid |
| 23.0ms | 138× | 1 | valid |
| 6.0ms | 22× | 0 | valid |
Compiled 54 to 25 computations (53.7% saved)
ival-exp: 105.0ms (65.5% of total)adjust: 37.0ms (23.1% of total)ival-add: 7.0ms (4.4% of total)ival-sub: 7.0ms (4.4% of total)ival-neg: 3.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)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 |
|---|---|---|
| ▶ | 56.5% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 8 to 7 computations (12.5% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 2 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 25 | 21 |
| 2 | 57 | 21 |
| 3 | 181 | 21 |
| 4 | 800 | 19 |
| 5 | 7279 | 19 |
| 0 | 8679 | 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 (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)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.03125 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 27.81418180561043 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 68.0ms | 176× | 2 | valid |
| 12.0ms | 69× | 1 | valid |
| 1.0ms | 11× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 45.0ms (66.7% of total)adjust: 12.0ms (17.8% of total)ival-add: 5.0ms (7.4% of total)ival-sub: 4.0ms (5.9% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) |
(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 |
(- 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)))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(- (+ (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 160 |
| 1 | 208 | 159 |
| 2 | 664 | 153 |
| 3 | 2594 | 153 |
| 4 | 7057 | 153 |
| 0 | 8435 | 136 |
| 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)))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(- (+ (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)) |
(+ 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)) |
(- (+ (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 | 17 |
| 0 | 12 | 17 |
| 1 | 52 | 17 |
| 2 | 423 | 15 |
| 3 | 7689 | 15 |
| 0 | 8101 | 15 |
| 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) |
(exp.f64 (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)))) |
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(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(exp.f64 (*.f64 x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 x)) |
Compiled 7 696 to 928 computations (87.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 9 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 9 | 258 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.2% | (fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
| 55.4% | (/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) | |
| 56.5% | (/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| 56.4% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| ▶ | 56.5% | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
| ▶ | 97.1% | #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))) |
| ▶ | 97.7% | #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)) |
| 97.5% | #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)) | |
| ▶ | 96.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 462 to 238 computations (48.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 321 |
| 0 | 75 | 321 |
| 1 | 129 | 321 |
| 2 | 406 | 321 |
| 3 | 2084 | 321 |
| 4 | 7715 | 321 |
| 0 | 8615 | 321 |
| 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 x x) |
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)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.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 (-.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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.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) |
| Outputs |
|---|
#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)) |
#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 (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 (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) |
(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) |
(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) |
(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 (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 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #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 x x) |
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)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(fma.f64 (/.f64 (+.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 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (neg.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 (-.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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (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)) (exp.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 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(+.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) | |
| accuracy | 0.046875 | (pow.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.052108789073768064 | (pow.f64 (exp.f64 x) #s(literal -2 binary64)) | |
| accuracy | 58.68055069760264 | (fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.015625 | (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) | |
| accuracy | 27.840002058516404 | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 1.8748422655826114 | #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))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 2.172950370071487 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| accuracy | 0.01171875 | (*.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) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 1.4546083438793302 | #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)) |
| 252.0ms | 176× | 2 | valid |
| 84.0ms | 69× | 1 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 302 to 43 computations (85.8% saved)
adjust: 76.0ms (28.8% of total)ival-exp: 48.0ms (18.2% of total)ival-mult: 28.0ms (10.6% of total)ival-pow: 24.0ms (9.1% of total)ival-sub: 21.0ms (8% of total)ival-add: 21.0ms (8% of total)ival-pow2: 17.0ms (6.4% of total)const: 15.0ms (5.7% of total)ival-div: 9.0ms (3.4% of total)ival-neg: 4.0ms (1.5% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x 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)) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.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 (-.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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 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)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.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)))))))) |
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) |
(pow x 4) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* x (+ 1 (* -1/2 x)))) |
(+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
-1/6 |
(- (* 7/18 x) 1/6) |
(- (* x (+ 7/18 (* -5/27 x))) 1/6) |
(- (* x (+ 7/18 (* x (- (* -7/324 x) 5/27)))) 1/6) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
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))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
-3 |
(- (* -1 x) 3) |
(- (* x (- (* 5/2 x) 1)) 3) |
(- (* x (- (* x (+ 5/2 (* 23/6 x))) 1)) 3) |
(- (+ (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)))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(exp x) |
(- 2 (exp (neg x))) |
(exp (neg x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (exp (neg x))))))) |
(/ (pow (- (exp x) 2) 2) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) |
(pow (- (exp x) 2) 2) |
(- (exp 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))))) |
(/ 1 (pow (exp x) 2)) |
(pow (exp x) 2) |
(* (exp x) (- (pow (exp x) 2) 4)) |
(- (+ (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))))))) |
(- 2 (exp (* -1 x))) |
(exp (* -1 x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (exp (* -1 x))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | 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) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) (exp (neg x)) (+ (* (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (* (+ 2 (exp x)) (exp x))) (/ (neg (pow (exp x) -2)) (- (- (exp x) 2) (exp (neg x))))) (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (pow (- (exp x) 2) 2) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (pow (exp x) -2) (pow (exp x) 2) (* (- (pow (exp x) 2) 4) (exp x))) |
| 7.0ms | 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) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) (exp (neg x)) (+ (* (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (* (+ 2 (exp x)) (exp x))) (/ (neg (pow (exp x) -2)) (- (- (exp x) 2) (exp (neg x))))) (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (pow (- (exp x) 2) 2) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (pow (exp x) -2) (pow (exp x) 2) (* (- (pow (exp x) 2) 4) (exp x))) |
| 4.0ms | 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) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) (exp (neg x)) (+ (* (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (* (+ 2 (exp x)) (exp x))) (/ (neg (pow (exp x) -2)) (- (- (exp x) 2) (exp (neg x))))) (/ (pow (- (exp x) 2) 2) (- (* (- (pow (exp x) 2) 4) (exp x)) (+ 2 (exp x)))) (pow (- (exp x) 2) 2) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (pow (exp x) -2) (pow (exp x) 2) (* (- (pow (exp x) 2) 4) (exp x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 761 |
| 1 | 642 | 748 |
| 2 | 1936 | 740 |
| 3 | 6719 | 740 |
| 0 | 8254 | 692 |
| 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) |
(pow x 4) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* x (+ 1 (* -1/2 x)))) |
(+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
-1/6 |
(- (* 7/18 x) 1/6) |
(- (* x (+ 7/18 (* -5/27 x))) 1/6) |
(- (* x (+ 7/18 (* x (- (* -7/324 x) 5/27)))) 1/6) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
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))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
-3 |
(- (* -1 x) 3) |
(- (* x (- (* 5/2 x) 1)) 3) |
(- (* x (- (* x (+ 5/2 (* 23/6 x))) 1)) 3) |
(- (+ (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)))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(exp x) |
(- 2 (exp (neg x))) |
(exp (neg x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (exp (neg x))))))) |
(/ (pow (- (exp x) 2) 2) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) |
(pow (- (exp x) 2) 2) |
(- (exp 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))))) |
(/ 1 (pow (exp x) 2)) |
(pow (exp x) 2) |
(* (exp x) (- (pow (exp x) 2) 4)) |
(- (+ (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))))))) |
(- 2 (exp (* -1 x))) |
(exp (* -1 x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp 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) |
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)) |
(pow x 4) |
(pow.f64 x #s(literal 4 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)) |
(+ 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 (- (* 1/6 x) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 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)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 7/18 x) 1/6) |
(-.f64 (*.f64 #s(literal 7/18 binary64) x) #s(literal 1/6 binary64)) |
(- (* x (+ 7/18 (* -5/27 x))) 1/6) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/27 binary64) x #s(literal 7/18 binary64)) x) #s(literal 1/6 binary64)) |
(- (* x (+ 7/18 (* x (- (* -7/324 x) 5/27)))) 1/6) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/324 binary64) x) #s(literal 5/27 binary64)) x #s(literal 7/18 binary64)) x) #s(literal 1/6 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)) |
-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))) |
1/12 |
#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)) |
(+ 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)) |
(+ 1 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (* -1 x) 3) |
(-.f64 (neg.f64 x) #s(literal 3 binary64)) |
(- (* x (- (* 5/2 x) 1)) 3) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) |
(- (* x (- (* x (+ 5/2 (* 23/6 x))) 1)) 3) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 23/6 binary64) x #s(literal 5/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 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))) |
(* 1/12 (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))) |
(exp x) |
(exp.f64 x) |
(- 2 (exp (neg x))) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (exp (neg x))))))) |
(-.f64 (*.f64 (/.f64 (exp.f64 x) (-.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(/ (pow (- (exp x) 2) 2) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) |
(/.f64 (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)) (exp.f64 x)) (+.f64 #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) 2) |
(-.f64 (exp.f64 x) #s(literal 2 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 (+.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)) |
(/ 1 (pow (exp x) 2)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow (exp x) 2) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(* (exp x) (- (pow (exp x) 2) 4)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) |
(- (+ (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)))) |
(- 2 (exp (* -1 x))) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(- (/ (* (exp x) (* (+ 2 (exp x)) (pow (- (exp x) 2) 2))) (- (* (exp x) (- (pow (exp x) 2) 4)) (+ 2 (exp x)))) (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (exp (* -1 x))))))) |
(-.f64 (*.f64 (/.f64 (exp.f64 x) (-.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 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 233 |
| 0 | 75 | 233 |
| 1 | 308 | 233 |
| 2 | 2429 | 225 |
| 0 | 8149 | 225 |
| 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)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x 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)) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.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 (-.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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 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)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) |
| 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 (*.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 (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)))) |
(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 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 3 binary64))) (*.f64 x x)) |
(fma.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)) |
(fma.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 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 (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 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)) |
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(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/20160 binary64) x)) #s(literal 1/360 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) |
(-.f64 #s(literal 1/360 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/20160 binary64) x)) x)) |
(-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/20160 binary64))) |
(-.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) (/.f64 #s(literal 1/46656000 binary64) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) x) |
(pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x) (*.f64 (exp.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) |
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(+.f64 (cosh.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x))) (sinh.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x)))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) (exp.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) x) |
(pow.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) |
(*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (exp.f64 x)) (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64))) (+.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(fma.f64 (cosh.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sinh.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cosh.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (sinh.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cosh.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))) |
Compiled 40 302 to 3 669 computations (90.9% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 942 | 5 | 947 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 946 | 10 | 956 |
| Status | Accuracy | Program |
|---|---|---|
| 8.2% | (fma.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #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 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) | |
| ▶ | 55.4% | (/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) |
| ▶ | 56.5% | (/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
| ▶ | 56.4% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 56.5% | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
| ▶ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) | |
| 97.7% | #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)) x) (*.f64 x x) x) x)) | |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
| ✓ | 96.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 502 to 248 computations (50.6% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 16 | (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) | |
| cost-diff | 32 | (/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (pow.f64 (exp.f64 x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (cosh.f64 x)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) | |
| cost-diff | 4 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) (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) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 444 |
| 0 | 78 | 444 |
| 1 | 168 | 398 |
| 2 | 683 | 366 |
| 3 | 4114 | 366 |
| 0 | 8091 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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 x) x) |
(*.f64 x x) |
x |
(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) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(-.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) |
x |
(/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal -2 binary64) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) |
(fma.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 (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))) (pow.f64 (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)) |
(exp.f64 x) |
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))) |
(fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(exp.f64 (neg.f64 x)) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
#s(literal -3 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))) (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)))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
#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)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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 (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 3 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) (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) |
(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 3 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
(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) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
#s(literal 1/12 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
(/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 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))) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal -2 binary64) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (sinh.f64 (neg.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 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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)) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) (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 3 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
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))) |
(fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(exp.f64 (neg.f64 x)) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
#s(literal -3 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))) (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 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.045253759768442016 | (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.07783129884221009 | (pow.f64 (exp.f64 x) #s(literal -3 binary64)) | |
| accuracy | 0.8844988627356095 | (/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) | |
| accuracy | 27.892007056854165 | (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) | |
| accuracy | 0.03515625 | (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.03515625 | (/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| accuracy | 0.052108789073768064 | (pow.f64 (exp.f64 x) #s(literal -2 binary64)) | |
| accuracy | 27.845479635896776 | (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (cosh.f64 x)) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 27.880735321758465 | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 1.8748422655826114 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 1.4546083438793302 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
| 330.0ms | 176× | 2 | valid |
| 75.0ms | 70× | 1 | valid |
| 8.0ms | 10× | 0 | valid |
Compiled 447 to 46 computations (89.7% saved)
adjust: 73.0ms (20.6% of total)ival-sub: 51.0ms (14.4% of total)ival-exp: 49.0ms (13.8% of total)ival-mult: 47.0ms (13.3% of total)ival-pow: 37.0ms (10.4% of total)ival-cosh: 28.0ms (7.9% of total)ival-add: 23.0ms (6.5% of total)ival-div: 16.0ms (4.5% of total)const: 15.0ms (4.2% of total)ival-pow2: 7.0ms (2% of total)ival-sinh: 7.0ms (2% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(cosh.f64 x) |
(/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
(/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) |
(fma.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 (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))) (pow.f64 (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)) |
(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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(pow x 3) |
(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)) |
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))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2 x))) |
(* (pow x 2) (+ 2 (* x (- (* 1/6 x) 2)))) |
(* (pow x 2) (+ 2 (* x (- (* x (+ 1/6 (* -1/2 x))) 2)))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* -36 x))) |
(* (pow x 2) (+ 9 (* x (- (* 219/4 x) 36)))) |
(* (pow x 2) (+ 9 (* x (- (* x (+ 219/4 (* -45 x))) 36)))) |
-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) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 9/2 x) 3))) |
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3))) |
(- (+ (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)))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ (- (/ 1 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) |
(- (/ 1 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) |
(/ 1 (pow (exp x) 2)) |
(exp x) |
(/ (+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) 2)) |
(+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
(pow (- (exp x) 2) 3) |
(- (exp 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)))))) |
(pow (- (exp x) 2) 2) |
(/ 1 (pow (exp x) 3)) |
(- (+ (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 (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) |
(/ (+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) 2)) |
(+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (/ (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (+ (* 2 (sinh (neg x))) 2)) (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (pow (exp x) -2) (exp x) (/ (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)))) (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (pow (- (exp x) 2) 3) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (pow (- (exp x) 2) 2) (pow (exp x) -3)) |
| 10.0ms | x | @ | inf | ((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (/ (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (+ (* 2 (sinh (neg x))) 2)) (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (pow (exp x) -2) (exp x) (/ (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)))) (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (pow (- (exp x) 2) 3) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (pow (- (exp x) 2) 2) (pow (exp x) -3)) |
| 4.0ms | x | @ | 0 | ((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (/ (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (+ (* 2 (sinh (neg x))) 2)) (- (pow (exp x) -2) (pow (- (exp x) 2) 2)) (pow (exp x) -2) (exp x) (/ (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)))) (+ (* (pow (- (exp x) 2) 3) (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2))) (* (+ (* (+ (* 2 (sinh (neg x))) 2) (exp (neg x))) (pow (- (exp x) 2) 2)) (pow (exp x) -3))) (pow (- (exp x) 2) 3) (- (exp x) 2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (pow (- (exp x) 2) 2) (pow (exp x) -3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 1055 |
| 1 | 781 | 1014 |
| 2 | 2388 | 993 |
| 0 | 8071 | 933 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
(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)) |
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))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2 x))) |
(* (pow x 2) (+ 2 (* x (- (* 1/6 x) 2)))) |
(* (pow x 2) (+ 2 (* x (- (* x (+ 1/6 (* -1/2 x))) 2)))) |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* -36 x))) |
(* (pow x 2) (+ 9 (* x (- (* 219/4 x) 36)))) |
(* (pow x 2) (+ 9 (* x (- (* x (+ 219/4 (* -45 x))) 36)))) |
-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) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1 (* x (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2))) |
(+ 1 (* -3 x)) |
(+ 1 (* x (- (* 9/2 x) 3))) |
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3))) |
(- (+ (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)))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ (- (/ 1 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) |
(- (/ 1 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) |
(/ 1 (pow (exp x) 2)) |
(exp x) |
(/ (+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) 2)) |
(+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
(pow (- (exp x) 2) 3) |
(- (exp 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)))))) |
(pow (- (exp x) 2) 2) |
(/ 1 (pow (exp x) 3)) |
(- (+ (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 (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) |
(/ (+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) 2)) |
(+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 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 (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 3 binary64)) x) x) |
x |
(* x (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 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)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 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)) (pow.f64 x #s(literal 3 binary64)) x) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x 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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) 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)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* x (- (* 1/6 x) 2)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ 2 (* x (- (* x (+ 1/6 (* -1/2 x))) 2)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x) x) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 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)) |
(+ 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)) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 9 (* -36 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -36 binary64) x #s(literal 9 binary64)) x) x) |
(* (pow x 2) (+ 9 (* x (- (* 219/4 x) 36)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 219/4 binary64) x) #s(literal 36 binary64)) x #s(literal 9 binary64)) x) x) |
(* (pow x 2) (+ 9 (* x (- (* x (+ 219/4 (* -45 x))) 36)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -45 binary64) x #s(literal 219/4 binary64)) x) #s(literal 36 binary64)) x #s(literal 9 binary64)) x) x) |
-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))) |
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 (* 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)) |
(+ 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)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 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))) |
(* 1/12 (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))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(+ (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 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))) |
(- (/ 1 (pow (exp x) 2)) (pow (- (exp x) 2) 2)) |
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/ 1 (pow (exp x) 2)) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp x) |
(exp.f64 x) |
(/ (+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) 2)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (/.f64 (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))) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (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))) #s(literal 2 binary64))) |
(+ (* (+ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (neg x)) (- (+ 2 (exp (neg x))) (/ 1 (exp (neg x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (/.f64 (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))) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
(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)) |
(* 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))) |
(pow (- (exp x) 2) 2) |
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/ 1 (pow (exp x) 3)) |
(exp.f64 (*.f64 #s(literal -3 binary64) x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* -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 (/.f64 #s(literal -1 binary64) 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 (exp x) 2)) (pow (- (exp x) 2) 2)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))) |
(/ (+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) (pow (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) 2)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (/.f64 (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))) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (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))) #s(literal 2 binary64))) |
(+ (* (+ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (- (exp x) 2) 2)) (pow (- (exp x) 2) 3)) (+ (/ (* (exp (* -1 x)) (- (+ 2 (exp (* -1 x))) (/ 1 (exp (* -1 x))))) (pow (exp x) 3)) (/ (pow (- (exp x) 2) 2) (pow (exp x) 3)))) |
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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))) (/.f64 (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))) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 313 |
| 0 | 78 | 221 |
| 1 | 334 | 195 |
| 2 | 2881 | 195 |
| 0 | 9863 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 x x) x) (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) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(cosh.f64 x) |
(/.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))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
(/.f64 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) |
(fma.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 (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))) (pow.f64 (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)) |
(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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 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)) (pow.f64 x #s(literal 3 binary64)) 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)) (pow.f64 x #s(literal 3 binary64)) x) x) |
(*.f64 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 3 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) (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 3 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 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 #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 (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 3 binary64)) x) x))) |
(/.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))) (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 3 binary64)) x)) |
(/.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 3 binary64)) (pow.f64 x #s(literal 9 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 (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 3 binary64)) x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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))) #s(literal 2 binary64))) (*.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)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
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(/.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)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) x) |
(pow.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -3 binary64)) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) x)) (sinh.f64 (*.f64 #s(literal -3 binary64) x))) |
(exp.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 x #s(literal -3/2 binary64) (*.f64 x #s(literal -3/2 binary64)))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 x))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -2 binary64) x))) |
(exp.f64 (*.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 x x) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal -3 binary64) x)) |
Compiled 88 756 to 4 639 computations (94.8% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 337 | 13 | 1 350 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 342 | 18 | 1 360 |
| Status | Accuracy | Program |
|---|---|---|
| 55.5% | (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (-.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 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) | |
| 56.4% | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| ✓ | 56.4% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ▶ | 54.0% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
| 53.7% | (-.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)) | |
| ✓ | 56.5% | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
| 53.3% | (-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ▶ | 52.4% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) | |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) | |
| 97.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) | |
| ▶ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) | |
| ▶ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
| ✓ | 96.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 727 to 476 computations (34.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) | |
| cost-diff | 4 | (fma.f64 (*.f64 x x) (*.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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #s(approx (cosh x) (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))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.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)) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (*.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)) x)) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) | |
| cost-diff | 2 | (fma.f64 x (*.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)) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 440 |
| 0 | 72 | 436 |
| 1 | 137 | 423 |
| 2 | 413 | 423 |
| 3 | 1842 | 417 |
| 4 | 7606 | 417 |
| 0 | 8526 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
(*.f64 (fma.f64 x (*.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)) x)) x) x) |
(fma.f64 x (*.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)) x)) x) |
x |
(*.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)) 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)) x) |
(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) |
(-.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))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) |
#s(literal 2 binary64) |
#s(approx (cosh x) (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) |
(fma.f64 (*.f64 x x) (*.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) |
x |
(*.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 (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) |
(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) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
(*.f64 (fma.f64 x (*.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)) x)) x) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(fma.f64 x (*.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)) x)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 |
(*.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)) x)) |
(*.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) |
(*.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) |
(*.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) |
(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 (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 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#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))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) |
(fma.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 #s(approx (cosh x) (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))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) |
(*.f64 #s(approx (cosh x) (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))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cosh x) (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))) |
(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)) |
(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)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
(fma.f64 (*.f64 x x) (*.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(*.f64 x x) |
x |
(*.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 (*.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) |
(*.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) |
(*.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) |
(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 (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 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (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)) | |
| accuracy | 0.125 | (*.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) | |
| accuracy | 0.3515625 | (*.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) | |
| accuracy | 1.4546083438793302 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) | |
| accuracy | 0.015625 | (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)) | |
| accuracy | 0.015625 | (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)) | |
| accuracy | 1.5081267480352687 | #s(approx (cosh x) (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))) | |
| accuracy | 27.880735321758465 | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 1.4546083438793302 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) | |
| accuracy | 2.074714647436011 | #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) | |
| accuracy | 2.2285506075177013 | #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) | |
| accuracy | 27.880735321758465 | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (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)) | |
| accuracy | 0.125 | (*.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)) x)) | |
| accuracy | 0.3515625 | (*.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) | |
| accuracy | 1.4546083438793302 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
| 339.0ms | 176× | 2 | valid |
| 62.0ms | 69× | 1 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 351 to 42 computations (88% saved)
ival-mult: 84.0ms (27.2% of total)adjust: 62.0ms (20.1% of total)const: 61.0ms (19.7% of total)ival-exp: 47.0ms (15.2% of total)ival-cosh: 27.0ms (8.7% of total)ival-add: 20.0ms (6.5% of total)ival-sub: 7.0ms (2.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x (*.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)) x)) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
(*.f64 (fma.f64 x (*.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)) x)) x) x) |
(*.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)) x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) |
#s(approx (cosh x) (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))) |
(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)) |
(fma.f64 (*.f64 x x) (*.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)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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) |
(*.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 (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) |
(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(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) |
(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)) |
| Outputs |
|---|
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 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)))))))) |
(* 1/12 (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)))))) |
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 3) |
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))))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 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))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 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)))))) |
(- (+ (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)))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 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)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow 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))))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | 0 | ((+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) x) (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) |
| 3.0ms | x | @ | inf | ((+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) x) (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) |
| 3.0ms | x | @ | -inf | ((+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* x (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x))) x) x) (* x (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 684 |
| 1 | 484 | 668 |
| 2 | 1555 | 661 |
| 3 | 6153 | 661 |
| 0 | 8386 | 624 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 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)))))))) |
(* 1/12 (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)))))) |
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 3) |
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))))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(* x (+ 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))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 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)))))) |
(- (+ (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)))))) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(+ (exp x) (/ 1 (exp x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 5)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 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)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow 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))))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
| Outputs |
|---|
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 (*.f64 x x) #s(literal 1/360 binary64) #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 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) |
(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 (*.f64 x x) #s(literal 1/360 binary64) #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 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) |
(* 1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #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 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) 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 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 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 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64))) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* x (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) |
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.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) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(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)) |
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)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(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)) |
(* 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 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 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 7 binary64))) |
(* (pow x 7) (+ 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 7 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 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 8 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 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 8 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)))) |
(- (+ (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))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/20160 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) |
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 5 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 (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))) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -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)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 372 |
| 0 | 72 | 360 |
| 1 | 287 | 349 |
| 2 | 2180 | 349 |
| 0 | 8228 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.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)) x)) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
(*.f64 (fma.f64 x (*.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)) x)) x) x) |
(*.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)) x)) |
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) |
#s(approx (cosh x) (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))) |
(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)) |
(fma.f64 (*.f64 x x) (*.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)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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) |
(*.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 (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) |
(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(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) |
(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)) |
| Outputs |
|---|
(*.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)) x) x #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.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))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (neg.f64 (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 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (neg.f64 (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 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (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 (*.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 (*.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 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (fma.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 3 binary64)) (pow.f64 x #s(literal 9 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 (*.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 (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 (*.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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (*.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 (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 (*.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 (*.f64 x x) (*.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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (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 x x (-.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 6 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)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.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))) (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 (*.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 (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 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (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 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.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 6 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)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (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 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 (*.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 (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)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (*.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) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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) |
(fma.f64 (neg.f64 x) (*.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)) 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)) x) (*.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) |
(fma.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)) x) x) |
(fma.f64 x (*.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) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (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 (*.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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (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)))))) |
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(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
Compiled 26 938 to 2 694 computations (90% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 615 | 5 | 620 |
| Fresh | 0 | 9 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 617 | 21 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| 55.5% | (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (-.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 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) | |
| 56.4% | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| ✓ | 56.4% | (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| ✓ | 54.0% | (-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
| 53.7% | (-.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)) | |
| ✓ | 56.5% | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
| 53.3% | (-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| ✓ | 52.4% | (-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) | |
| 97.7% | #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)) x) x #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) | |
| 97.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) | |
| ✓ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) | |
| 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))) x) x)) | |
| 97.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) | |
| 97.5% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) | |
| ✓ | 96.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 1 348 to 517 computations (61.6% 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
#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)) 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)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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 -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #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 -4 binary64)) (pow.f64 (-.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 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #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 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(fma.f64 (/.f64 (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)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 (neg.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 (fma.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 (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))) (pow.f64 (exp.f64 x) #s(literal -3 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))) (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))))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
2 calls:
| 10.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 100.0% | 2 | 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
#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)) 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)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 100.0% | 2 | 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
#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)) 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)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
2 calls:
| 7.0ms | x |
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 100.0% | 2 | 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.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)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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)) |
#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)) 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)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)))) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.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))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 97.7% | 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (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)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
2 calls:
| 6.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 97.5% | 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(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.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(literal 1/12 binary64) 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 |
|---|---|---|
| 97.1% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 97.1% | 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:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 96.6% | 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 |
|---|---|---|
| 52.4% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.4% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.03843330191301136 | 0.1807258710344595 |
| 7.0ms | 96× | 0 | valid |
Compiled 233 to 179 computations (23.2% saved)
ival-exp: 4.0ms (71.5% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.03843330191301136 | 0.1807258710344595 |
| 2.0ms | 32× | 0 | valid |
Compiled 233 to 179 computations (23.2% saved)
ival-exp: 1.0ms (93.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.03843330191301136 | 0.1807258710344595 |
Compiled 221 to 167 computations (24.4% saved)
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 227 |
| 1 | 100 | 227 |
| 2 | 215 | 227 |
| 3 | 714 | 227 |
| 4 | 3018 | 213 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 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 |
|---|
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 x #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64)) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 #s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 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 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 52 | 17 |
| 2 | 423 | 15 |
| 3 | 7689 | 15 |
| 0 | 8101 | 15 |
| 0 | 43 | 313 |
| 0 | 78 | 221 |
| 1 | 334 | 195 |
| 2 | 2881 | 195 |
| 0 | 9863 | 193 |
| 0 | 239 | 1055 |
| 1 | 781 | 1014 |
| 2 | 2388 | 993 |
| 0 | 8071 | 933 |
| 0 | 60 | 160 |
| 1 | 208 | 159 |
| 2 | 664 | 153 |
| 3 | 2594 | 153 |
| 4 | 7057 | 153 |
| 0 | 8435 | 136 |
| 0 | 45 | 372 |
| 0 | 72 | 360 |
| 1 | 287 | 349 |
| 2 | 2180 | 349 |
| 0 | 8228 | 344 |
| 0 | 43 | 233 |
| 0 | 75 | 233 |
| 1 | 308 | 233 |
| 2 | 2429 | 225 |
| 0 | 8149 | 225 |
| 0 | 129 | 684 |
| 1 | 484 | 668 |
| 2 | 1555 | 661 |
| 3 | 6153 | 661 |
| 0 | 8386 | 624 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 227 to 64 computations (71.8% saved)
Compiled 574 to 212 computations (63.1% saved)
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