
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
| 548.0ms | 8 256× | 0 | valid |
ival-div: 141.0ms (57.3% of total)ival-expm1: 99.0ms (40.3% of total)ival-assert: 4.0ms (1.6% of total)adjust: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 1 | (0.01296524636528181) | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 127 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 1 |
| - | 0 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 1 | 0 |
| - | 0 | 0 | 128 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 310.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-div: 6.0ms (31% of total)ival-exp: 6.0ms (31% of total)ival-expm1: 5.0ms (25.8% of total)ival-true: 1.0ms (5.2% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 32 | 21 |
| 2 | 78 | 21 |
| 3 | 247 | 21 |
| 4 | 1225 | 21 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 16 | 6 |
| 2 | 32 | 6 |
| 3 | 76 | 6 |
| 4 | 299 | 6 |
| 5 | 3046 | 6 |
| 0 | 8497 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.9% | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1) |
| 1.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1) |
| 1.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 192 |
| 0 | 49 | 192 |
| 1 | 240 | 192 |
| 2 | 2096 | 192 |
| 0 | 8129 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (expm1.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) x) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))) |
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.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 x)))) #s(literal 2 binary64))) (*.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 x)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.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 x)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(exp.f64 x) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#s(approx x x) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (exp x) (exp.f64 x)) |
Compiled 1 698 to 363 computations (78.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 8 | 106 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 8 | 107 |
| Status | Accuracy | Program |
|---|---|---|
| 3.3% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| ▶ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 69.6% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) | |
| ▶ | 28.1% | (-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
| ▶ | 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ▶ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 51.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| ▶ | 50.8% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 190 to 140 computations (26.3% saved)
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
x |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) |
(*.f64 (exp.f64 x) x) |
(exp.f64 x) |
(*.f64 x x) |
(/.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 1)) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x))) |
#s(approx (* (exp x) x) #s(hole binary64 x)) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 x)))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 1/2 x))))))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ x (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (exp x) x))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/ (* (exp x) x) (* x x)) (* (exp x) x) (exp x) (* x x) (/ x (* x x))) |
| 4.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/ (* (exp x) x) (* x x)) (* (exp x) x) (exp x) (* x x) (/ x (* x x))) |
| 3.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/ (* (exp x) x) (* x x)) (* (exp x) x) (exp x) (* x x) (/ x (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1064 |
| 0 | 191 | 923 |
| 1 | 800 | 888 |
| 0 | 7015 | 873 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
x |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) |
(*.f64 (exp.f64 x) x) |
(exp.f64 x) |
(*.f64 x x) |
(/.f64 x (*.f64 x x)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 1)) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x))) |
#s(approx (* (exp x) x) #s(hole binary64 x)) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 x)))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 1/2 x))))))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ x (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (/ (* (exp x) x) (* x x)) #s(hole binary64 (/ (exp x) x))) |
#s(approx (* (exp x) x) #s(hole binary64 (* x (exp x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (exp x))) x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) x) x) |
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (exp.f64 x) x) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (exp.f64 x)) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) x) x) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) x) (*.f64 (neg.f64 x) x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (exp.f64 x) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x)) |
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x)) |
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) x) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (exp.f64 x) x)) |
(+.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 (exp.f64 x) x)) |
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x))))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (exp.f64 x) x) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 #s(literal 0 binary64) x)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
x |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)) |
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(neg.f64 (/.f64 x (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(literal 1 binary64)) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) #s(literal 1 binary64)) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (* (exp x) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (* (exp x) x) (* x x)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
#s(approx (/ (* (exp x) x) (* x x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (* (exp x) x) (* x x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (exp x) x) x) |
#s(approx (* (exp x) x) (fma.f64 x x x)) |
#s(approx (* (exp x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (exp x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ x (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/.f64 (expm1.f64 x) x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/.f64 (expm1.f64 x) x)) |
#s(approx (/ (* (exp x) x) (* x x)) (/.f64 (exp.f64 x) x)) |
#s(approx (* (exp x) x) (*.f64 (exp.f64 x) x)) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64)))) |
#s(approx (- (/ (* (exp x) x) (* x x)) (/ x (* x x))) (/.f64 (expm1.f64 x) x)) |
Compiled 7 777 to 1 296 computations (83.3% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 12 | 395 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 385 | 18 | 403 |
| Status | Accuracy | Program |
|---|---|---|
| 3.3% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ▶ | 69.6% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
| 41.6% | (-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) | |
| 5.3% | (-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) | |
| ✓ | 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 66.7% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ▶ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
| 65.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) | |
| ▶ | 51.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 63.0% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) | |
| ▶ | 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ▶ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| 16.7% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) | |
| ✓ | 50.8% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 561 to 416 computations (25.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 1/2)) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (- (* 1/6 x) -1/2) (* 1/6 x) -1/2 (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (+ (* (* x x) 1/6) 1) (* x x) (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) |
| 4.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (- (* 1/6 x) -1/2) (* 1/6 x) -1/2 (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (+ (* (* x x) 1/6) 1) (* x x) (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (- (* 1/6 x) -1/2) (* 1/6 x) -1/2 (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) (+ (* (* x x) 1/6) 1) (* x x) (/ (- (exp x) 1) x) (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1672 |
| 0 | 236 | 1536 |
| 1 | 988 | 1508 |
| 0 | 8363 | 1433 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 1/2)) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (- (* 1/6 x) -1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x)) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x)) |
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(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(approx x x) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (* 1/6 x) -1/2) #s(literal 1/2 binary64)) |
#s(approx (- (* 1/6 x) -1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x) x)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (- (* 1/6 x) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 x)) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
Compiled 13 946 to 2 106 computations (84.9% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 10 | 540 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 534 | 24 | 558 |
| Status | Accuracy | Program |
|---|---|---|
| 3.3% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 69.6% | (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x) | |
| ▶ | 69.6% | (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
| 32.0% | (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) | |
| ▶ | 69.6% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
| ▶ | 68.4% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
| 41.6% | (-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) | |
| 5.3% | (-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) | |
| ✓ | 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ▶ | 66.7% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
| 63.0% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) | |
| 65.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) | |
| ✓ | 51.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 66.7% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) | |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 16.7% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| ✓ | 50.8% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 849 to 583 computations (31.3% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
(*.f64 #s(literal 1/24 binary64) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x)))))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) (+ (* 1/24 x) 1/6) 1/24 x 1/6 (* x x) (+ (* 1/2 x) 1) 1/2 1 (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (* (* x x) 1/6) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (* (* x x) 1/2)) |
| 5.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) (+ (* 1/24 x) 1/6) 1/24 x 1/6 (* x x) (+ (* 1/2 x) 1) 1/2 1 (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (* (* x x) 1/6) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (* (* x x) 1/2)) |
| 3.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) (+ (* 1/24 x) 1/6) 1/24 x 1/6 (* x x) (+ (* 1/2 x) 1) 1/2 1 (/ (- (exp x) 1) x) (+ (* (- (* 1/6 x) -1/2) x) 1) (* (* x x) 1/6) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* 1/24 x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (* (* x x) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 2239 |
| 0 | 258 | 2101 |
| 1 | 1047 | 2065 |
| 0 | 8699 | 1857 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
(*.f64 x x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
(*.f64 #s(literal 1/24 binary64) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1)) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (* 1/24 x) #s(hole binary64 (* 1/24 x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/24 x)))))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) x)) 1/24))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x)) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x)) |
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 x (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) x)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) x)) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) |
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(-.f64 x (*.f64 (neg.f64 x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) x) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(approx x x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) x) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (* x x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) x) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (* (* x x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) x)) |
#s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) x) (* (* x x) 1/2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* x x) (+ (* 1/24 x) 1/6)) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)))) |
Compiled 19 147 to 2 749 computations (85.6% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 4 | 653 |
| Fresh | 0 | 12 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 652 | 25 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| 3.3% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 69.6% | (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x) | |
| ✓ | 69.6% | (/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
| 32.0% | (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) | |
| 68.4% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) | |
| 22.1% | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) | |
| 41.6% | (-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) | |
| 5.3% | (-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) | |
| ✓ | 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
| 63.0% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) | |
| 65.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) | |
| 65.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) | |
| ✓ | 51.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 67.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 66.7% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) | |
| ✓ | 64.2% | #s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 16.7% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| 16.7% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) | |
| ✓ | 50.8% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 1 190 to 508 computations (57.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
2 calls:
| 14.0ms | x |
| 14.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 100.0% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
2 calls:
| 13.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 73.9% | 3 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(approx (* (exp x) x) (fma.f64 x x x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
2 calls:
| 12.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 69.6% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x) |
2 calls:
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 70.1% | 2 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x) |
2 calls:
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 70.1% | 2 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 55.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 1 | x |
| 67.1% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 66.7% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 67.5% | 2 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 67.5% | 2 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 64.2% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (- (* 1/6 x) -1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | x |
| 63.0% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (- (* 1/6 x) -1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 63.6% | 2 | x |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 51.3% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 50.8% | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0422629651224162e+75 | 9.645507383688206e+77 |
| 2.0ms | 6.669295705033291e-25 | 6.010950553224638e-12 |
| 23.0ms | 144× | 0 | valid |
Compiled 697 to 370 computations (46.9% saved)
ival-div: 1.0ms (31% of total)ival-expm1: 1.0ms (31% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.01296524636528181 | 4.362878420879774 |
| 7.0ms | 128× | 0 | valid |
Compiled 313 to 247 computations (21.1% saved)
ival-expm1: 2.0ms (56.9% of total)ival-div: 1.0ms (28.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.272552714371678 | 17.759540473427826 |
Compiled 9 to 9 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.01296524636528181 | 4.362878420879774 |
Compiled 329 to 271 computations (17.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.362878420879774 | 18.786399583595195 |
| 9.0ms | 96× | 0 | valid |
Compiled 243 to 199 computations (18.1% saved)
ival-div: 1.0ms (37.5% of total)ival-expm1: 1.0ms (37.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.01296524636528181 | 4.362878420879774 |
| 4.0ms | 64× | 0 | valid |
Compiled 249 to 207 computations (16.9% saved)
ival-div: 1.0ms (55.9% of total)ival-expm1: 1.0ms (55.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 426 |
| 1 | 128 | 426 |
| 2 | 211 | 426 |
| 3 | 467 | 426 |
| 4 | 1408 | 426 |
| 5 | 6836 | 426 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(if (<=.f64 x #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x)) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 6 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2758454771764429/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(if (<=.f64 x #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))) x) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))) x)) x)) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 7/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 6 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2758454771764429/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 426 to 100 computations (76.5% saved)
Compiled 908 to 234 computations (74.2% saved)
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