
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 1 |
| 50% | 37.6% | 37.6% | 24.8% | 0% | 0% | 0% | 2 |
| 75% | 56.4% | 18.8% | 24.8% | 0% | 0% | 0% | 3 |
| 87.5% | 65.8% | 9.4% | 24.8% | 0% | 0% | 0% | 4 |
| 93.8% | 70.5% | 4.7% | 24.8% | 0% | 0% | 0% | 5 |
| 96.9% | 72.8% | 2.3% | 24.8% | 0% | 0% | 0% | 6 |
| 98.4% | 74% | 1.2% | 24.8% | 0% | 0% | 0% | 7 |
| 99.2% | 74.6% | 0.6% | 24.8% | 0% | 0% | 0% | 8 |
| 99.6% | 74.9% | 0.3% | 24.8% | 0% | 0% | 0% | 9 |
| 99.8% | 75% | 0.1% | 24.8% | 0% | 0% | 0% | 10 |
| 99.9% | 75.1% | 0.1% | 24.8% | 0% | 0% | 0% | 11 |
| 100% | 75.1% | 0% | 24.8% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 350.0ms | 8 256× | 0 | valid |
ival-exp: 84.0ms (37.5% of total)ival-div: 60.0ms (26.8% of total)ival-expm1: 47.0ms (21% of total)ival->: 24.0ms (10.7% of total)exact: 6.0ms (2.7% of total)ival-assert: 4.0ms (1.8% of total)| 1× | egg-herbie |
| 116× | div-sub |
| 78× | times-frac |
| 76× | sub-neg |
| 64× | distribute-rgt-in |
| 64× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 22 | 19 |
| 2 | 42 | 18 |
| 3 | 78 | 18 |
| 4 | 132 | 12 |
| 5 | 242 | 12 |
| 6 | 343 | 12 |
| 7 | 448 | 12 |
| 8 | 565 | 12 |
| 9 | 606 | 12 |
| 10 | 634 | 12 |
| 11 | 684 | 12 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 14 | 7 |
| 0 | 14 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 166 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 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 | 166 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 166 | 0 |
| - | 0 | 90 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 166 | 0 | 0 |
| - | 0 | 1 | 89 |
| number | freq |
|---|---|
| 0 | 90 |
| 1 | 166 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 50 to 24 computations (52% saved)
ival-exp: 4.0ms (35.2% of total)ival-div: 3.0ms (26.4% of total)ival-expm1: 3.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.5% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 4× | lower-+.f64 |
| 4× | lower-+.f32 |
| 2× | lower-expm1.f64 |
| 2× | lift-exp.f64 |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 13 | 15 |
| 2 | 14 | 15 |
| 0 | 14 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 40.2% | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 10.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-div: 2.0ms (36.3% of total)ival-exp: 2.0ms (36.3% of total)ival-expm1: 2.0ms (36.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (exp x) (- (exp x) 1)) |
| 0.0ms | x | @ | -inf | (/ (exp x) (- (exp x) 1)) |
| 0.0ms | x | @ | 0 | (- (exp x) 1) |
| 0.0ms | x | @ | 0 | (/ (exp x) (- (exp x) 1)) |
| 0.0ms | x | @ | inf | (- (exp x) 1) |
| 1× | egg-herbie |
| 10 384× | lower-fma.f64 |
| 10 384× | lower-fma.f32 |
| 4 444× | lower-*.f64 |
| 4 444× | lower-*.f32 |
| 1 914× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 571 | 202 |
| 4 | 827 | 202 |
| 5 | 976 | 202 |
| 6 | 1003 | 202 |
| 7 | 1097 | 196 |
| 8 | 1514 | 196 |
| 9 | 1932 | 196 |
| 10 | 3331 | 196 |
| 11 | 4894 | 196 |
| 12 | 5180 | 196 |
| 13 | 5566 | 196 |
| 14 | 6116 | 196 |
| 15 | 6842 | 196 |
| 0 | 10190 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
| 1× | batch-egg-rewrite |
| 5 384× | lower-/.f32 |
| 5 382× | lower-/.f64 |
| 3 398× | lower-fma.f64 |
| 3 398× | lower-fma.f32 |
| 3 144× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 33 | 13 |
| 2 | 188 | 13 |
| 3 | 1808 | 13 |
| 0 | 8774 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (expm1.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
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(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(expm1.f64 x) |
(expm1.f64 (*.f64 x #s(literal 1 binary64))) |
(expm1.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
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(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (exp.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
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(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (expm1.f64 (+.f64 x x)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (expm1.f64 x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 x) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
Compiled 9 762 to 1 201 computations (87.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 408 | 5 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 409 | 5 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ▶ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ▶ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
Compiled 86 to 60 computations (30.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/720 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (expm1.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 196× | lower-+.f32 |
| 194× | lower-+.f64 |
| 182× | lower-fma.f32 |
| 176× | lower-fma.f64 |
| 96× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 144 |
| 0 | 35 | 144 |
| 1 | 62 | 144 |
| 2 | 97 | 144 |
| 3 | 134 | 144 |
| 4 | 155 | 144 |
| 5 | 161 | 144 |
| 6 | 194 | 144 |
| 7 | 249 | 144 |
| 8 | 279 | 144 |
| 9 | 285 | 144 |
| 0 | 285 | 136 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
x |
#s(literal 1/12 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) |
x |
#s(literal 1/12 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) |
x |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -1/720 binary64)) |
| ✓ | accuracy | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (expm1.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 42.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 121 to 23 computations (81% saved)
const: 7.0ms (23.9% of total)ival-mult: 6.0ms (20.5% of total)ival-div: 5.0ms (17.1% of total)ival-add: 4.0ms (13.7% of total)ival-expm1: 3.0ms (10.3% of total)ival-exp: 2.0ms (6.8% of total)ival-neg: 1.0ms (3.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 x)) (patch (expm1.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp x) (- (exp x) 1)) (taylor -inf x) (#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (patch (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/720 binary64)) (patch (*.f64 x #s(literal -1/720 binary64)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* x -1/720) |
| 1.0ms | x | @ | inf | (+ (* x 1/12) (+ (/ 1 x) 1/2)) |
| 1.0ms | x | @ | -inf | (* x -1/720) |
| 1.0ms | x | @ | inf | (/ -1 (- (exp (neg x)) 1)) |
| 0.0ms | x | @ | -inf | (/ -1 (- (exp (neg x)) 1)) |
| 1× | egg-herbie |
| 8 646× | lower-fma.f64 |
| 8 646× | lower-fma.f32 |
| 2 730× | lower-*.f64 |
| 2 730× | lower-*.f32 |
| 1 608× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1037 |
| 1 | 252 | 1036 |
| 2 | 689 | 1016 |
| 3 | 2073 | 1003 |
| 4 | 6078 | 957 |
| 0 | 8271 | 797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
| 1× | batch-egg-rewrite |
| 7 200× | lower-fma.f32 |
| 7 194× | lower-fma.f64 |
| 4 154× | lower-/.f32 |
| 4 150× | lower-/.f64 |
| 3 736× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 109 |
| 0 | 35 | 109 |
| 1 | 154 | 109 |
| 2 | 1169 | 109 |
| 0 | 8247 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))) |
(expm1.f64 (neg.f64 x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(/.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (neg.f64 (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(*.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))) |
(*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(*.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (expm1.f64 (neg.f64 x))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
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(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))) |
(/.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(literal -1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) x) |
Compiled 20 046 to 1 394 computations (93% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 738 | 9 | 747 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 738 | 14 | 752 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ▶ | 89.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 85.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ▶ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ▶ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| 15.6% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) | |
| ▶ | 37.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
Compiled 269 to 164 computations (39% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| ✓ | cost-diff | 192 | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 640 | (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 8 336× | lower-fma.f32 |
| 8 322× | lower-fma.f64 |
| 2 338× | lower-*.f32 |
| 2 330× | lower-*.f64 |
| 1 904× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 324 |
| 0 | 70 | 320 |
| 1 | 145 | 320 |
| 2 | 294 | 320 |
| 3 | 500 | 320 |
| 4 | 732 | 316 |
| 5 | 1093 | 316 |
| 6 | 2236 | 316 |
| 7 | 3321 | 316 |
| 8 | 5266 | 316 |
| 9 | 7625 | 316 |
| 0 | 8171 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
x |
#s(literal 1/12 binary64) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
x |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
x |
#s(literal 1/12 binary64) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) |
x |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
| ✓ | accuracy | 71.2% | (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 89.4% | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 36.1% | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 36.1% | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.2% | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| 90.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 223 to 43 computations (80.7% saved)
ival-mult: 24.0ms (32.7% of total)ival-add: 18.0ms (24.5% of total)const: 12.0ms (16.4% of total)ival-div: 9.0ms (12.3% of total)ival-neg: 4.0ms (5.5% of total)ival-expm1: 3.0ms (4.1% of total)ival-exp: 2.0ms (2.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) (patch (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) (patch (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (patch #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (* -1 x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (neg x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* -1 x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/12 (* -1/720 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | (/ (+ (/ 1 x) 1/2) x) |
| 1.0ms | x | @ | inf | (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) |
| 0.0ms | x | @ | -inf | (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) |
| 0.0ms | x | @ | -inf | (/ (+ (/ 1 x) 1/2) x) |
| 0.0ms | x | @ | inf | (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) |
| 1× | egg-herbie |
| 14 670× | lower-fma.f64 |
| 14 670× | lower-fma.f32 |
| 4 770× | lower-*.f64 |
| 4 770× | lower-*.f32 |
| 2 482× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 1864 |
| 1 | 471 | 1846 |
| 2 | 1485 | 1822 |
| 3 | 4920 | 1776 |
| 0 | 8747 | 1485 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(* -1/6 x) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
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(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x (*.f64 x x)))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
| 1× | batch-egg-rewrite |
| 5 836× | lower-*.f32 |
| 5 828× | lower-*.f64 |
| 4 002× | lower-fma.f32 |
| 3 988× | lower-fma.f64 |
| 3 146× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 274 |
| 0 | 70 | 272 |
| 1 | 333 | 272 |
| 2 | 2600 | 272 |
| 0 | 8109 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x)) |
(-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) x) |
(-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) x) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x)) |
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(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
Compiled 14 396 to 1 303 computations (90.9% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 572 | 18 | 590 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 574 | 30 | 604 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| 89.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| 74.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 72.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 72.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| ▶ | 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | 89.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 72.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) | |
| 85.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 71.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) | |
| ▶ | 32.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
| 30.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) | |
| 30.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) | |
| 28.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) | |
| ▶ | 27.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
| 30.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ▶ | 15.6% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 37.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
Compiled 882 to 494 computations (44% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
| 12 414× | lower-fma.f32 |
| 12 398× | lower-fma.f64 |
| 3 144× | lower-*.f32 |
| 3 124× | lower-*.f64 |
| 2 776× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 561 |
| 0 | 98 | 543 |
| 1 | 207 | 519 |
| 2 | 444 | 519 |
| 3 | 865 | 519 |
| 4 | 2026 | 519 |
| 5 | 3670 | 519 |
| 6 | 7985 | 519 |
| 0 | 8167 | 478 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) |
(*.f64 x x) |
#s(literal 1/576 binary64) |
#s(literal -1/36 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
x |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) |
x |
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
x |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(*.f64 x x) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
x |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) |
(*.f64 x x) |
(+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(literal -1/720 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/12 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) |
(*.f64 x x) |
#s(literal 1/576 binary64) |
#s(literal -1/36 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
x |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) |
x |
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
x |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(*.f64 x x) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) |
x |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 x x) |
(+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(literal -1/720 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/12 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 71.2% | (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 57.3% | (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 93.2% | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
| ✓ | accuracy | 37.0% | #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 89.4% | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 36.8% | #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 36.5% | #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 93.2% | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| ✓ | accuracy | 81.0% | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
| 164.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 356 to 60 computations (83.1% saved)
ival-mult: 55.0ms (38.5% of total)const: 35.0ms (24.5% of total)ival-div: 28.0ms (19.6% of total)ival-add: 17.0ms (11.9% of total)ival-expm1: 3.0ms (2.1% of total)ival-exp: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) (patch #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/12 binary64)) (patch (*.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (patch (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (patch #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (patch (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) (patch #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) (patch (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1/6 (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (- (exp (neg x)) 1)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/6 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/6 x))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/6 x))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* -1/6 x))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/24 x) 1/6)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 x) 1/6) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1/24 (* 1/6 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (+ (* x 1/24) 1/6) |
| 0.0ms | x | @ | 0 | (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6))) |
| 0.0ms | x | @ | inf | (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6))) |
| 0.0ms | x | @ | 0 | (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) |
| 0.0ms | x | @ | -inf | (* (* x x) (+ (* x 1/24) -1/6)) |
| 1× | egg-herbie |
| 12 366× | lower-fma.f64 |
| 12 366× | lower-fma.f32 |
| 5 258× | lower-*.f64 |
| 5 258× | lower-*.f32 |
| 1 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 2459 |
| 1 | 643 | 2407 |
| 2 | 1843 | 2359 |
| 3 | 5616 | 2284 |
| 0 | 8478 | 1958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/12 (pow x 2))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (+ 1/12 (* -1/720 (pow x 2))))) (pow x 2)) |
(/ (+ 1 (* (pow x 2) (+ 1/12 (* -1/720 (pow x 2))))) (pow x 2)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720)) |
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720)) |
(* (pow x 2) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/720)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
6 |
(+ 6 (* -3/2 x)) |
(+ 6 (* x (- (* 3/8 x) 3/2))) |
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2))) |
(/ 24 x) |
(/ (- 24 (* 96 (/ 1 x))) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x) |
(/ 24 x) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x)) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(* -1/6 x) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
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(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (neg.f64 (fma.f64 x #s(literal 1/720 binary64) (/.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/12 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -3/2 x)) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)) |
(+ 6 (* x (- (* 3/8 x) 3/2))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)) |
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)) |
(/ 24 x) |
(/.f64 #s(literal 24 binary64) x) |
(/ (- 24 (* 96 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -384 binary64) x)) x)) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -384 binary64) x)) x)) (/.f64 #s(literal -1536 binary64) (*.f64 x (*.f64 x x)))) x) |
(/ 24 x) |
(/.f64 #s(literal 24 binary64) x) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) x)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x)) |
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -384 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal -384 binary64)) x)) x)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 4 506× | lower-*.f32 |
| 4 486× | lower-*.f64 |
| 3 990× | lower-fma.f32 |
| 3 974× | lower-fma.f64 |
| 2 794× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 461 |
| 0 | 98 | 450 |
| 1 | 459 | 391 |
| 2 | 3709 | 391 |
| 0 | 8283 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) |
#s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64))) |
(+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x) |
(*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) x)) |
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64))) |
(+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/36 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal -1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (*.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (*.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/144 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 16 366 to 1 829 computations (88.8% saved)
32 alts after pruning (20 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 13 | 696 |
| Fresh | 8 | 7 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 9 | 10 |
| Total | 694 | 32 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| 89.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| ✓ | 93.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 96.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 96.1% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 95.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 95.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| ✓ | 89.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 85.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 32.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) | |
| 32.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) | |
| 30.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) | |
| 28.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) | |
| 30.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) | |
| 30.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) | |
| ✓ | 27.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
| 28.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) | |
| 23.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) | |
| 28.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) | |
| ✓ | 66.0% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 65.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 15.6% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| 36.8% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) | |
| 37.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) | |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
Compiled 1 179 to 466 computations (60.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
3 calls:
| 14.0ms | x |
| 12.0ms | (exp.f64 x) |
| 10.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 15.0ms | x |
| 12.0ms | (exp.f64 x) |
| 10.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 96.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 96.2% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 12.0ms | x |
| 10.0ms | (exp.f64 x) |
| 9.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 96.1% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 96.1% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 13.0ms | x |
| 9.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 8.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 95.7% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 11.0ms | x |
| 9.0ms | (exp.f64 x) |
| 8.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | x |
| 95.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 95.3% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (+.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2)) (fma.f64 x #s(approx (+ (* (* x x) (+ -1/720 (/ 1 (* x (* x (* x x)))))) 1/12) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 31.0ms | x |
| 8.0ms | (exp.f64 x) |
| 8.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 93.2% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
3 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 6.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 2 | x |
| 92.1% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 93.5% | 2 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) x))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
2 calls:
| 87.0ms | (exp.f64 x) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 2 | x |
| 93.5% | 2 | (exp.f64 x) |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) (*.f64 #s(literal 1/24 binary64) x))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 2 | x |
| 93.5% | 2 | (exp.f64 x) |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 89.4% | 1 | x |
| 89.4% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
3 calls:
| 7.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | x |
| 89.6% | 2 | (exp.f64 x) |
| 88.4% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | x |
| 89.6% | 2 | (exp.f64 x) |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 85.8% | 1 | x |
| 85.8% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 2 | x |
| 86.2% | 2 | (exp.f64 x) |
| 85.0% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 66.0% | 1 | x |
| 66.0% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
3 calls:
| 3.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | x |
| 3.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.2% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0% | 1 | (exp.f64 x) |
| 3.0% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.3944814028903556 |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
| 52× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 570 |
| 1 | 177 | 570 |
| 2 | 179 | 570 |
| 3 | 180 | 570 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x #s(approx (+ (* x -1/6) 1/2) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (+ (/ 1 x) 1/2)) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| 14 670× | lower-fma.f64 |
| 14 670× | lower-fma.f32 |
| 12 366× | lower-fma.f64 |
| 12 366× | lower-fma.f32 |
| 10 384× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 2459 |
| 1 | 643 | 2407 |
| 2 | 1843 | 2359 |
| 3 | 5616 | 2284 |
| 0 | 8478 | 1958 |
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 571 | 202 |
| 4 | 827 | 202 |
| 5 | 976 | 202 |
| 6 | 1003 | 202 |
| 7 | 1097 | 196 |
| 8 | 1514 | 196 |
| 9 | 1932 | 196 |
| 10 | 3331 | 196 |
| 11 | 4894 | 196 |
| 12 | 5180 | 196 |
| 13 | 5566 | 196 |
| 14 | 6116 | 196 |
| 15 | 6842 | 196 |
| 0 | 10190 | 150 |
| 0 | 99 | 1037 |
| 1 | 252 | 1036 |
| 2 | 689 | 1016 |
| 3 | 2073 | 1003 |
| 4 | 6078 | 957 |
| 0 | 8271 | 797 |
| 0 | 170 | 1864 |
| 1 | 471 | 1846 |
| 2 | 1485 | 1822 |
| 3 | 4920 | 1776 |
| 0 | 8747 | 1485 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 33 | 13 |
| 2 | 188 | 13 |
| 3 | 1808 | 13 |
| 0 | 8774 | 9 |
| 0 | 45 | 274 |
| 0 | 70 | 272 |
| 1 | 333 | 272 |
| 2 | 2600 | 272 |
| 0 | 8109 | 253 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 806 to 418 computations (48.1% saved)
Compiled 682 to 204 computations (70.1% saved)
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