
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
| 479.0ms | 8 256× | 0 | valid |
ival-div: 136.0ms (64.2% of total)ival-expm1: 67.0ms (31.6% of total)ival-true: 6.0ms (2.8% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 131 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 1 |
| - | 0 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 1 | 0 |
| - | 0 | 0 | 124 |
| number | freq |
|---|---|
| 0 | 125 |
| 1 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 39 to 19 computations (51.3% saved)
ival-exp: 6.0ms (35.2% of total)ival-expm1: 6.0ms (35.2% of total)ival-div: 4.0ms (23.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 240× | lower-fma.f64 |
| 240× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 168× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 27 | 15 |
| 2 | 70 | 14 |
| 3 | 209 | 14 |
| 4 | 523 | 14 |
| 5 | 669 | 14 |
| 6 | 790 | 14 |
| 7 | 825 | 14 |
| 8 | 826 | 14 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 16 | 6 |
| 2 | 19 | 6 |
| 3 | 25 | 6 |
| 4 | 34 | 6 |
| 5 | 46 | 6 |
| 6 | 66 | 6 |
| 7 | 110 | 6 |
| 8 | 173 | 6 |
| 9 | 321 | 6 |
| 10 | 475 | 6 |
| 11 | 569 | 6 |
| 12 | 636 | 6 |
| 13 | 844 | 6 |
| 14 | 851 | 6 |
| 15 | 852 | 6 |
| 0 | 852 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.5% | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) | |
| cost-diff | 192 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 240× | lower-fma.f64 |
| 240× | lower-fma.f32 |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
| 128× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 16 | 14 |
| 2 | 19 | 14 |
| 3 | 25 | 14 |
| 4 | 34 | 14 |
| 5 | 46 | 14 |
| 6 | 66 | 14 |
| 7 | 110 | 14 |
| 8 | 173 | 14 |
| 9 | 321 | 14 |
| 10 | 475 | 14 |
| 11 | 569 | 14 |
| 12 | 636 | 14 |
| 13 | 844 | 14 |
| 14 | 851 | 14 |
| 15 | 852 | 14 |
| 0 | 852 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 29.637623933924836 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 10.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-div: 2.0ms (36% of total)ival-exp: 2.0ms (36% of total)ival-expm1: 2.0ms (36% 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 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<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 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<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) 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) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) 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) 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) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp x) 1) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (exp x) 1) (/ (- (exp x) 1) x) (exp x)) |
| 0.0ms | x | @ | inf | ((- (exp x) 1) (/ (- (exp x) 1) x) (exp x)) |
| 0.0ms | x | @ | 0 | ((- (exp x) 1) (/ (- (exp x) 1) x) (exp x)) |
| 1× | egg-herbie |
| 6 912× | lower-fma.f64 |
| 6 912× | lower-fma.f32 |
| 1 616× | lower-*.f64 |
| 1 616× | lower-*.f32 |
| 1 056× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 184 |
| 1 | 81 | 184 |
| 2 | 173 | 184 |
| 3 | 391 | 184 |
| 4 | 623 | 184 |
| 5 | 769 | 184 |
| 6 | 797 | 184 |
| 7 | 845 | 184 |
| 8 | 899 | 184 |
| 9 | 1593 | 184 |
| 10 | 4100 | 184 |
| 11 | 5151 | 184 |
| 12 | 5377 | 184 |
| 13 | 5511 | 184 |
| 14 | 5626 | 184 |
| 15 | 5632 | 184 |
| 16 | 5903 | 184 |
| 17 | 5903 | 184 |
| 18 | 6087 | 184 |
| 19 | 6158 | 184 |
| 20 | 6158 | 184 |
| 21 | 6366 | 184 |
| 22 | 6447 | 184 |
| 23 | 6447 | 184 |
| 0 | 6447 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 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))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(- (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) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.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) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
| 5 428× | lower-/.f32 |
| 5 426× | lower-/.f64 |
| 3 690× | lower-*.f64 |
| 3 690× | lower-*.f32 |
| 2 262× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 35 | 12 |
| 2 | 220 | 12 |
| 3 | 2299 | 12 |
| 0 | 8893 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
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(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (exp.f64 x)) x)) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x)) |
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
Compiled 11 352 to 1 471 computations (87% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 523 | 8 | 531 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 524 | 8 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 3.4% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| ▶ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 67.6% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) | |
| ▶ | 78.4% | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
| ▶ | 65.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ▶ | 61.5% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 52.6% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| ▶ | 52.2% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 154 to 102 computations (33.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (expm1.f64 (*.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 832 | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (expm1.f64 x) | |
| cost-diff | 0 | (/.f64 (expm1.f64 x) x) |
| 13 258× | lower-fma.f32 |
| 13 248× | lower-fma.f64 |
| 2 302× | lower-*.f32 |
| 2 298× | lower-*.f64 |
| 2 160× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 150 |
| 0 | 52 | 150 |
| 1 | 88 | 148 |
| 2 | 140 | 148 |
| 3 | 283 | 148 |
| 4 | 522 | 148 |
| 5 | 901 | 148 |
| 6 | 2245 | 148 |
| 7 | 4046 | 148 |
| 8 | 4537 | 148 |
| 9 | 4640 | 148 |
| 10 | 5157 | 148 |
| 11 | 5999 | 148 |
| 12 | 7571 | 148 |
| 0 | 8153 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
x |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
#s(literal 1 binary64) |
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
#s(literal -1 binary64) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
x |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (fma.f64 (exp.f64 x) x x) (exp.f64 x) x)) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) |
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
#s(literal -1 binary64) |
(exp.f64 (+.f64 x x)) |
(+.f64 x x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 (exp.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) | |
| accuracy | 0.07421875 | (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) | |
| accuracy | 0.078125 | (expm1.f64 (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) | |
| accuracy | 0.12890625 | (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) | |
| accuracy | 17.124034968446317 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 16.845833296270065 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 17.27433962632508 | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (expm1.f64 x) | |
| accuracy | 0.01953125 | (/.f64 (expm1.f64 x) x) |
| 109.0ms | 183× | 0 | valid |
| 31.0ms | 55× | 0 | exit |
| 9.0ms | 8× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
Compiled 156 to 31 computations (80.1% saved)
ival-add: 27.0ms (31% of total)ival-exp: 24.0ms (27.5% of total)ival-mult: 12.0ms (13.8% of total)ival-expm1: 9.0ms (10.3% of total)ival-div: 6.0ms (6.9% of total)const: 6.0ms (6.9% of total)adjust: 2.0ms (2.3% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ()) |
#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (patch (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) #s(literal -1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 (expm1.f64 x) x) (patch (/.f64 (expm1.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (patch (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (patch (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (patch (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (patch (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (* 3 x)) 1) x) (taylor -inf x) (#s(alt (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (patch (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 3 x)) 1) (taylor -inf x) (#s(alt (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (patch (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp x)) (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 (exp x)) (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 (exp x)) (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 (exp x)) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal -1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ (- (exp (* 3 x)) 1) x) (/ 1 (+ (- (exp x) -1) (exp (+ x x))))) (/ (- (exp (* 3 x)) 1) x) (- (exp (* 3 x)) 1) (* 3 x) (- (exp x) -1)) |
| 4.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ (- (exp (* 3 x)) 1) x) (/ 1 (+ (- (exp x) -1) (exp (+ x x))))) (/ (- (exp (* 3 x)) 1) x) (- (exp (* 3 x)) 1) (* 3 x) (- (exp x) -1)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ (- (exp (* 3 x)) 1) x) (/ 1 (+ (- (exp x) -1) (exp (+ x x))))) (/ (- (exp (* 3 x)) 1) x) (- (exp (* 3 x)) 1) (* 3 x) (- (exp x) -1)) |
| 1× | egg-herbie |
| 10 530× | lower-fma.f64 |
| 10 530× | lower-fma.f32 |
| 3 544× | lower-*.f64 |
| 3 544× | lower-*.f32 |
| 1 634× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 1204 |
| 1 | 342 | 1204 |
| 2 | 857 | 1188 |
| 3 | 2437 | 1188 |
| 4 | 5966 | 1188 |
| 0 | 8260 | 925 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
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))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
3 |
(+ 3 (* 9/2 x)) |
(+ 3 (* x (+ 9/2 (* 9/2 x)))) |
(+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))) |
(* 3 x) |
(* x (+ 3 (* 9/2 x))) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/ (- (exp (* 3 x)) 1) x) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(- (exp (* 3 x)) 1) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
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 (* x (+ 1/6 (* 1/24 x)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 9/2 x)) |
(fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (+ 9/2 (* 9/2 x)))) |
(fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* 9/2 x))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 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) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (* 2 x)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 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) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) (* x (+ 1 (+ (exp x) (exp (neg (* -2 x))))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) x x)) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(/ (- (exp (* 3 x)) 1) x) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(- (exp (* 3 x)) 1) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ 1 (exp x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 7 144× | lower-fma.f32 |
| 7 134× | lower-fma.f64 |
| 3 652× | lower-/.f32 |
| 3 648× | lower-/.f64 |
| 3 068× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 106 |
| 0 | 52 | 88 |
| 1 | 215 | 88 |
| 2 | 1665 | 88 |
| 0 | 9882 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) |
(expm1.f64 (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) x) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (expm1.f64 x)) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 x) x) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 x (expm1.f64 x))) (/.f64 (-.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 x (expm1.f64 x))) (-.f64 (exp.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))) x) (/.f64 (-.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))) (/.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))) (/.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x)) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (expm1.f64 x)) |
(*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x) (/.f64 (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x) (expm1.f64 x)) |
(*.f64 (/.f64 (/.f64 (expm1.f64 x) x) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 x) x) (-.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 (exp.f64 x) (expm1.f64 x))) |
(*.f64 (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) (neg.f64 x)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 (expm1.f64 x) x)) |
(*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (/.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (/.f64 (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x)))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) x))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 x) x)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (neg.f64 x)))) |
(*.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))))) |
(*.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))))) |
(*.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (-.f64 (*.f64 (exp.f64 x) x) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) x) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x)) |
(*.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (/.f64 (expm1.f64 x) (neg.f64 x))) |
(*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 (expm1.f64 x) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (/.f64 x (expm1.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (expm1.f64 x)) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))))) |
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (/.f64 (expm1.f64 x) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (expm1.f64 x) x) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(*.f64 (/.f64 (expm1.f64 x) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)) |
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(*.f64 (expm1.f64 x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (expm1.f64 x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))) |
(*.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(*.f64 (expm1.f64 x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (expm1.f64 x) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) x)) |
(*.f64 (expm1.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))) |
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))))))) |
(/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 x x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 x x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)))))) |
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(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64) (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) |
(+.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
Compiled 33 456 to 2 849 computations (91.5% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 437 | 13 | 1 450 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 438 | 20 | 1 458 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.4% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ▶ | 67.6% | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
| ✓ | 78.4% | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
| ✓ | 65.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ▶ | 57.1% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 65.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 58.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 65.5% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 61.5% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 59.6% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 64.4% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
| ▶ | 52.6% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 56.0% | #s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) | |
| 56.0% | #s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) | |
| 16.6% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) | |
| 16.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) | |
| 12.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) | |
| 12.4% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) | |
| ✓ | 52.2% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 582 to 309 computations (46.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) | |
| cost-diff | 320 | (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
| 8 978× | lower-fma.f32 |
| 8 960× | lower-fma.f64 |
| 3 122× | lower-*.f32 |
| 3 112× | lower-*.f64 |
| 1 342× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 340 |
| 0 | 71 | 340 |
| 1 | 119 | 328 |
| 2 | 191 | 323 |
| 3 | 355 | 323 |
| 4 | 835 | 323 |
| 5 | 1567 | 323 |
| 6 | 2210 | 323 |
| 7 | 3706 | 323 |
| 8 | 6662 | 323 |
| 0 | 8162 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
#s(literal 1/13824 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/216 binary64) |
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) |
#s(literal 1/576 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) |
#s(literal 1/36 binary64) |
(*.f64 x #s(literal 1/144 binary64)) |
#s(literal 1/144 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/576 binary64) x #s(literal 1/144 binary64)) x #s(literal -1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/576 binary64) x #s(literal 1/144 binary64)) x #s(literal -1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/576 binary64) x #s(literal 1/144 binary64)) x #s(literal -1/36 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (fma.f64 #s(literal -1/576 binary64) x #s(literal 1/144 binary64)) x #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) |
#s(literal 1/13824 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/216 binary64) |
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) |
#s(literal 1/576 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) |
(fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 x #s(literal 1/144 binary64)) |
(*.f64 #s(literal 1/144 binary64) x) |
#s(literal 1/144 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3243337139544601 | (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) | |
| accuracy | 0.3515625 | (*.f64 x #s(literal 1/144 binary64)) | |
| accuracy | 19.427304764422633 | (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) | |
| accuracy | 0.4408493986669195 | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) | |
| accuracy | 32.16389493777818 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 29.637623933924836 | (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 31.043709523654005 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 30.604156936591032 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) | |
| accuracy | 20.754357842329135 | #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 104.0ms | 256× | 0 | valid |
Compiled 268 to 36 computations (86.6% saved)
ival-mult: 40.0ms (51.5% of total)const: 18.0ms (23.2% of total)ival-add: 9.0ms (11.6% of total)ival-div: 3.0ms (3.9% of total)ival-expm1: 3.0ms (3.9% of total)ival-exp: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% 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(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (patch (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) (patch (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) (patch (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/144 binary64)) (patch (*.f64 x #s(literal 1/144 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (- 1/36 (* x 1/144)) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (* x 1/144)) |
| 2.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (- 1/36 (* x 1/144)) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (* x 1/144)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (- 1/36 (* x 1/144)) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (* x 1/144)) |
| 1× | egg-herbie |
| 10 664× | lower-fma.f64 |
| 10 664× | lower-fma.f32 |
| 3 318× | lower-*.f64 |
| 3 318× | lower-*.f32 |
| 1 820× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1740 |
| 1 | 336 | 1740 |
| 2 | 903 | 1724 |
| 3 | 2746 | 1684 |
| 4 | 7721 | 1676 |
| 0 | 8289 | 1350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
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))))))) |
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))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
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))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
1/36 |
(+ 1/36 (* -1/144 x)) |
(+ 1/36 (* x (- (* 1/576 x) 1/144))) |
(+ 1/36 (* x (- (* 1/576 x) 1/144))) |
1/36 |
(+ 1/36 (* -1/144 x)) |
(+ 1/36 (* -1/144 x)) |
(+ 1/36 (* -1/144 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 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 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)))))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 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))))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 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)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x)))) |
(* -1/144 x) |
(* x (- (* 1/36 (/ 1 x)) 1/144)) |
(* x (- (* 1/36 (/ 1 x)) 1/144)) |
(* x (- (* 1/36 (/ 1 x)) 1/144)) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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))))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(* -1/144 x) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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 (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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
(* 1/144 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
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 (* x (+ 1/6 (* 1/24 x)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
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(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/576 binary64) x) x) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x #s(literal 1/36 binary64)) |
(* -1/144 x) |
(*.f64 #s(literal -1/144 binary64) x) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)) |
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x))))) |
(fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 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 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)) |
(* 1/144 x) |
(*.f64 #s(literal 1/144 binary64) x) |
(* 1/144 x) |
(*.f64 #s(literal 1/144 binary64) x) |
(* 1/144 x) |
(*.f64 #s(literal 1/144 binary64) x) |
(* 1/144 x) |
(*.f64 #s(literal 1/144 binary64) x) |
| 4 862× | lower-fma.f32 |
| 4 848× | lower-fma.f64 |
| 4 504× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 3 258× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 278 |
| 0 | 71 | 246 |
| 1 | 282 | 233 |
| 2 | 2192 | 233 |
| 0 | 8226 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(*.f64 x #s(literal 1/144 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)) |
(pow.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x)) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) x)) |
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))) (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 x x) x))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/2641807540224 binary64)) (*.f64 (*.f64 x x) x) #s(literal 1/10077696 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 #s(literal 1/144 binary64) x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 #s(literal 1/144 binary64) x)))) (/.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 #s(literal 1/144 binary64) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) |
(*.f64 #s(literal 1/144 binary64) x) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x #s(literal 1/144 binary64)) |
Compiled 22 798 to 2 093 computations (90.8% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 808 | 10 | 818 |
| Fresh | 8 | 2 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 818 | 20 | 838 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 3.4% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 56.3% | (/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) | |
| 18.4% | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) | |
| ▶ | 18.0% | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
| 18.0% | (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) | |
| ✓ | 78.4% | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
| ✓ | 65.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 51.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ▶ | 68.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 61.5% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 64.4% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
| ▶ | 64.4% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
| ✓ | 52.6% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 54.6% | #s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal -1 binary64)))) | |
| 16.6% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) | |
| ▶ | 16.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
| 12.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) | |
| ▶ | 12.4% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| ✓ | 52.2% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 473 to 239 computations (49.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 7 320× | lower-fma.f32 |
| 7 312× | lower-fma.f64 |
| 2 670× | lower-*.f32 |
| 2 656× | lower-*.f64 |
| 1 544× | distribute-neg-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 476 |
| 0 | 77 | 476 |
| 1 | 134 | 440 |
| 2 | 210 | 426 |
| 3 | 362 | 426 |
| 4 | 535 | 426 |
| 5 | 871 | 426 |
| 6 | 1692 | 426 |
| 7 | 3069 | 426 |
| 8 | 6852 | 426 |
| 0 | 8042 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) |
(fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
#s(literal 1/13824 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/216 binary64) |
#s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
#s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) |
(fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) |
#s(literal 1/13824 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/216 binary64) |
#s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) x) |
#s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) |
#s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) | |
| accuracy | 20.754357842329135 | #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) | |
| accuracy | 32.45273332503396 | #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/24 binary64) x) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) | |
| accuracy | 32.16389493777818 | #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) | |
| accuracy | 32.45273332503396 | #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.43632518018000754 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 24.64646994892639 | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 32.14768174915029 | #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 19.427304764422633 | (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) | |
| accuracy | 21.870217694054954 | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 30.601544883943454 | #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) |
| 144.0ms | 256× | 0 | valid |
Compiled 288 to 41 computations (85.8% saved)
ival-mult: 46.0ms (50.4% of total)ival-add: 20.0ms (21.9% of total)const: 19.0ms (20.8% of total)ival-div: 3.0ms (3.3% of total)ival-expm1: 2.0ms (2.2% of total)ival-sub: 1.0ms (1.1% 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 #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) (patch #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) (patch (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) (patch #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (* (* (* x x) x) 1/24) (* (* x x) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* 1/24 x) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (* 1/24 x)) |
| 3.0ms | x | @ | inf | ((/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (* (* (* x x) x) 1/24) (* (* x x) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* 1/24 x) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (* 1/24 x)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (* (* (* x x) x) 1/24) (* (* x x) x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* 1/24 x) x) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (* 1/24 x)) |
| 1× | egg-herbie |
| 10 576× | lower-fma.f64 |
| 10 576× | lower-fma.f32 |
| 3 382× | lower-*.f64 |
| 3 382× | lower-*.f32 |
| 1 820× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1744 |
| 1 | 333 | 1744 |
| 2 | 906 | 1688 |
| 3 | 2727 | 1672 |
| 4 | 7553 | 1664 |
| 0 | 8102 | 1387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
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))))))) |
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))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
1/36 |
(+ 1/36 (* -1/144 x)) |
(+ 1/36 (* x (- (* 1/576 x) 1/144))) |
(+ 1/36 (* x (- (* 1/576 x) 1/144))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 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 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)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 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 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)))))) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x)))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 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)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(/ (- (exp x) 1) x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
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#s(literal 1/2 binary64) |
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#s(literal 1/6 binary64) |
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(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/ (- (exp x) 1) x) |
(/.f64 (expm1.f64 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) |
(* 1/24 (pow x 4)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(* (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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/576 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/576 binary64) x) x) |
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/576 binary64) x #s(literal -1/144 binary64)) x) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/576 binary64) x (/.f64 #s(literal 1/36 binary64) x)) #s(literal -1/144 binary64))) |
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x)))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/576 binary64) x (/.f64 #s(literal 1/36 binary64) x)) #s(literal -1/144 binary64))) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
| 5 764× | lower-fma.f32 |
| 5 756× | lower-fma.f64 |
| 3 978× | lower-/.f32 |
| 3 974× | lower-/.f64 |
| 3 872× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 427 |
| 0 | 77 | 412 |
| 1 | 318 | 373 |
| 2 | 2456 | 373 |
| 0 | 8782 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
#s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x))) (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) |
(*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) x)) |
(pow.f64 (/.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))))) |
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) (neg.f64 x)) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) x)) |
(neg.f64 (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)))) #s(literal -1 binary64))) |
#s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x) |
(*.f64 x #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
(*.f64 x #s(literal 1/24 binary64)) |
Compiled 11 719 to 744 computations (93.7% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 8 | 573 |
| Fresh | 0 | 7 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 568 | 25 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 3.4% | (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| 56.3% | (/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) | |
| 18.4% | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) | |
| 18.0% | (/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) | |
| 18.0% | (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) | |
| ✓ | 78.4% | (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
| 18.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) | |
| 68.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 65.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 55.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)) (*.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| 51.8% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 68.3% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 55.9% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) | |
| ✓ | 61.5% | #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| ✓ | 64.4% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
| ✓ | 52.6% | #s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| 54.6% | #s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal -1 binary64)))) | |
| 16.6% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) | |
| 16.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) | |
| 16.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) | |
| 12.2% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) | |
| ✓ | 12.4% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| 12.4% | #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) | |
| ✓ | 52.2% | #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
Compiled 1 004 to 339 computations (66.2% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)) (*.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) |
(/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
2 calls:
| 11.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)) (*.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) |
(/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 x (/.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
2 calls:
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 2 | x |
| 68.3% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 x #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) (fma.f64 #s(literal -1/144 binary64) x #s(literal 1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/46656 binary64)) (*.f64 #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 10.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.3% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 68.3% | 1 | x |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) x))) |
| Outputs |
|---|
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 1 | x |
| 67.6% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) x)) x) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))) x)) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x) |
2 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | x |
| 68.1% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 1 | x |
| 65.8% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 1 | x |
| 65.5% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x)))) |
2 calls:
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | x |
| 66.3% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (/ (+ (* 1/13824 (* (* x x) x)) 1/216) (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144)))) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | x |
| 66.3% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | x |
| 61.5% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | x |
| 60.8% | 2 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | x |
| 52.6% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | x |
| 52.2% | 1 | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4919835334842159e+94 | 2.5366248454674175e+111 |
| 0.0ms | 16× | 0 | valid |
Compiled 59 to 27 computations (54.2% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-expm1: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2729525529850552 | +inf |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2729525529850552 | +inf |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2729525529850552 | +inf |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2729525529850552 | +inf |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | +-commutative_binary64 |
| 2× | mul-1-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 399 |
| 1 | 108 | 399 |
| 2 | 111 | 399 |
| 3 | 116 | 399 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(if (<=.f64 x #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(if (<=.f64 x #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) x) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) #s(approx (+ (* 1/576 (* x x)) (- 1/36 (* x 1/144))) #s(literal 1/36 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(approx (- (exp x) 1) #s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/24 binary64)))) x)) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x))))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))) |
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) |
| 10 664× | lower-fma.f64 |
| 10 664× | lower-fma.f32 |
| 10 530× | lower-fma.f64 |
| 10 530× | lower-fma.f32 |
| 7 144× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1740 |
| 1 | 336 | 1740 |
| 2 | 903 | 1724 |
| 3 | 2746 | 1684 |
| 4 | 7721 | 1676 |
| 0 | 8289 | 1350 |
| 0 | 103 | 1204 |
| 1 | 342 | 1204 |
| 2 | 857 | 1188 |
| 3 | 2437 | 1188 |
| 4 | 5966 | 1188 |
| 0 | 8260 | 925 |
| 0 | 43 | 278 |
| 0 | 71 | 246 |
| 1 | 282 | 233 |
| 2 | 2192 | 233 |
| 0 | 8226 | 221 |
| 0 | 26 | 184 |
| 1 | 81 | 184 |
| 2 | 173 | 184 |
| 3 | 391 | 184 |
| 4 | 623 | 184 |
| 5 | 769 | 184 |
| 6 | 797 | 184 |
| 7 | 845 | 184 |
| 8 | 899 | 184 |
| 9 | 1593 | 184 |
| 10 | 4100 | 184 |
| 11 | 5151 | 184 |
| 12 | 5377 | 184 |
| 13 | 5511 | 184 |
| 14 | 5626 | 184 |
| 15 | 5632 | 184 |
| 16 | 5903 | 184 |
| 17 | 5903 | 184 |
| 18 | 6087 | 184 |
| 19 | 6158 | 184 |
| 20 | 6158 | 184 |
| 21 | 6366 | 184 |
| 22 | 6447 | 184 |
| 23 | 6447 | 184 |
| 0 | 6447 | 135 |
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 35 | 12 |
| 2 | 220 | 12 |
| 3 | 2299 | 12 |
| 0 | 8893 | 8 |
| 0 | 30 | 106 |
| 0 | 52 | 88 |
| 1 | 215 | 88 |
| 2 | 1665 | 88 |
| 0 | 9882 | 88 |
| 0 | 59 | 427 |
| 0 | 77 | 412 |
| 1 | 318 | 373 |
| 2 | 2456 | 373 |
| 0 | 8782 | 323 |
| 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× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 440 to 206 computations (53.2% saved)
Compiled 510 to 140 computations (72.5% saved)
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